193 results on '"Piga, D."'
Search Results
2. Fitting Jump Models
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Bemporad, A., Breschi, V., Piga, D., and Boyd, S.
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Computer Science - Learning ,Computer Science - Systems and Control ,Mathematics - Optimization and Control - Abstract
We describe a new framework for fitting jump models to a sequence of data. The key idea is to alternate between minimizing a loss function to fit multiple model parameters, and minimizing a discrete loss function to determine which set of model parameters is active at each data point. The framework is quite general and encompasses popular classes of models, such as hidden Markov models and piecewise affine models. The shape of the chosen loss functions to minimize determine the shape of the resulting jump model., Comment: Accepted for publication in Automatica
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- 2017
3. Virtual Operators with Self and Transfer Learning Ability in EDM
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Držajić, D., Wiessner, M., Maradia, U., and Piga, D.
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- 2022
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4. Identification of elasto-plastic and nonlinear fracture mechanics parameters of silver-plated copper busbars for photovoltaics
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Carollo, V., Piga, D., Borri, C., and Paggi, M.
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- 2019
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5. Jump model learning and filtering for energy end-use disaggregation
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Breschi, V., Piga, D., and Bemporad, A.
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- 2018
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6. Kalman filtering for energy disaggregation
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Breschi, V., Piga, D., and Bemporad, A.
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- 2018
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7. A Hybrid Signature-based Iterative Disaggregation algorithm for Non-Intrusive Load Monitoring
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Cominola, A., Giuliani, M., Piga, D., Castelletti, A., and Rizzoli, A.E.
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- 2017
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8. Removing Harmful Finishes to Recycle Waste Acrylic Textiles
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Tomme, B, Trovato, V, Geltmeyer, J, Rosace, G, Piga, D, Ferrari, B, Cataldi, A, De Meester, S, De Clerck, K, Tomme B., Trovato V., Geltmeyer J., Rosace G., Piga D., Ferrari B., Cataldi A., De Meester S., De Clerck K., Tomme, B, Trovato, V, Geltmeyer, J, Rosace, G, Piga, D, Ferrari, B, Cataldi, A, De Meester, S, De Clerck, K, Tomme B., Trovato V., Geltmeyer J., Rosace G., Piga D., Ferrari B., Cataldi A., De Meester S., and De Clerck K.
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- 2022
9. Multi-Objects Robotic Grasping Optimization Employing a 2D camera
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Roveda, L, Farinella, G, Maccarini, M, Pura, F, Castaman, N, Spahiu, B, Shahid, A, Marconi, M, Ferrato, O, Braghin, F, Piga, D, Roveda L., Farinella G., Maccarini M., Pura F., Castaman N., Spahiu B., Shahid A. A., Marconi M., Ferrato O., Braghin F., Piga D., Roveda, L, Farinella, G, Maccarini, M, Pura, F, Castaman, N, Spahiu, B, Shahid, A, Marconi, M, Ferrato, O, Braghin, F, Piga, D, Roveda L., Farinella G., Maccarini M., Pura F., Castaman N., Spahiu B., Shahid A. A., Marconi M., Ferrato O., Braghin F., and Piga D.
- Abstract
Artificial intelligence algorithms can be exploited to enhance identification, localization, and grasping performance in robotics applications, employing low-cost vision systems (such as 2D cameras). The aim of this paper is, indeed, to optimize the camera pose to improve object detection tasks considering a mul- tiple objects scenario. Therefore, transfer learning capabilities are required to minimize the experimental effort in subsequent grasps. Bayesian optimization (BO) with transfer learning (TL) capabilities has been proposed to address the mentioned scenario. A grasping task of multiple parts has been considered, being executed by an ABB Yumi single-arm manipulator IRB 14050 with a 2D Cognex AE3 In-Sight camera mounted at its end- effector. The proposed BO+ TL methodology has been compared with BO (without TL). The achieved results show that BO+TL is more efficient than BO exploiting the already available data.
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- 2022
10. In-context learning of state estimators
- Author
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Busetto, R., Breschi, V., Forgione, M., Piga, D., and Formentin, S.
- Abstract
State estimation has a pivotal role in several applications, including but not limited to advanced control design. Especially when dealing with nonlinear systems state estimation is a nontrivial task, often entailing approximations and challenging fine-tuning phases. In this work, we propose to overcome these challenges by formulating an in-context state-estimation problem, enabling us to learn a state estimator for a class of (nonlinear) systems abstracting from particular instances of the state seen during training. To this end, we extend an in-context learning framework recently proposed for system identification, showing via a benchmark numerical example that this approach allows us to (i) use training data directly for the design of the state estimator, (ii) not requiring extensive fine-tuning procedures, while (iii) achieving superior performance compared to state-of-the-art benchmarks.
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- 2024
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11. Anionic Polymerization in Porous Organic Frameworks: A Strategy to Fabricate Anchored Polymers and Copolymers
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Perego, J, Bracco, S, Comotti, A, Piga, D, Bassanetti, I, Sozzani, P, Perego J., Bracco S., Comotti A., Piga D., Bassanetti I., Sozzani P., Perego, J, Bracco, S, Comotti, A, Piga, D, Bassanetti, I, Sozzani, P, Perego J., Bracco S., Comotti A., Piga D., Bassanetti I., and Sozzani P.
- Abstract
An anionic mechanism is used to create polymers and copolymers as confined to, or anchored to, high-surface-area porous nanoparticles. Linear polymers with soft and glassy chains, such as polyisoprene and polymethylmethacrylate, were produced by confined anionic polymerization in 3D networks of porous aromatic frameworks. Alternatively, multiple anions were generated on the designed frameworks which bear removal protons at selected positions, and initiate chain propagation, resulting in chains covalently connected to the 3D network. Such growth can continue outside the pores to produce polymer-matrix nanoparticles coated with anchored chains. Sequential reactions were promoted by the living character of this anionic propagation, yielding nanoparticles that were covered by a second polymer anchored by anionic block copolymerization. The intimacy of the matrix and the grown-in polymers was demonstrated by magnetization transfer across the interfaces in 2D 1H-13C-HETCOR NMR spectra.
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- 2021
12. Fixed-order FIR approximation of linear systems from quantized input and output data
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Cerone, V., Piga, D., and Regruto, D.
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- 2013
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13. Input-output LPV model identification with guaranteed quadratic stability
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Cerone, V., Piga, D., Regruto, D., and Tóth, R.
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- 2012
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14. FIR approximation of linear systems from quantized records
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Cerone, V., Piga, D., and Regruto, D.
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- 2012
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15. LPV identification of the glucose-insulin dynamics in Type I diabetes
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Cerone, V., Piga, D., Regruto, D., and Berehanu, S.
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- 2012
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16. Bounded-error identification of linear systems with input and output backlash
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Cerone, V., Piga, D., and Regruto, D.
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- 2012
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17. High-altitude wind power generation
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Fagiano, L., Milanese, M., and Piga, D. `
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Altitudes -- Analysis ,Wind power -- Research ,Wind power -- Environmental aspects ,Air-turbines -- Testing ,Business ,Electronics ,Electronics and electrical industries - Published
- 2010
18. Triphenylmethane Aromatic Frameworks (TAFs): Engineered Pore Chemistry for Targeted Gas Adsorption
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Perego, J, Piga, D, Bracco, S, Sozzani, P, Comotti, A, Perego, J, Piga, D, Bracco, S, Sozzani, P, and Comotti, A
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CHIM/02 - CHIMICA FISICA ,CHIM/04 - CHIMICA INDUSTRIALE ,Porous organic polymers, POFs, gas adsorption, CO2, CH4 - Abstract
Energy is the key feature in our modern society. As we entered the 21st century the exploitation of gaseous primary energy sources such as natural gas and biogas increases dramatically. To handle, store and purify these gaseous species under mild and safe conditions novel porous materials must be designed and created.[1] Porous Organic Frameworks (POFs) based on strong carbon-carbon covalent bonds display valuable features such as high thermal and chemical robustness and moisture resistance while, at the same time, provide high specific surface area suitable for guest managing and storage.[2] In order to understand how pore chemistry affects adsorptive properties, we developed a family of three-dimensional porous frameworks generated from triphenylmethane building blocks (Triphenylmethane Aromatic Frameworks, TAFs).[3] These building blocks generate and sustain the porous network providing extensive reticulation. Additionally, they bear functional groups on the tertiary carbon atom that are retained during the coupling reaction, specifically a hydrogen atom, a hydroxyl group or an amine group (TAF-H, TAF-OH and TAF-NH2, respectively). This prefunctionalization approach ensures the regular and homogeneous distribution of functional moieties along the pore walls. TAFs display BET surface areas between 1000 and 1400 m2/g and high chemical purity.TAF-NH2 displays strong interactions with carbon dioxide guest molecules: the isosteric heat of adsorption at low coverage (ΔQ) reaches 54 KJ/mol. In-situ 2D 1H-13C heterocorrelated MAS NMR technique allows the direct spectroscopic observation of the intimate spatial relationship between the CO2 molecule and the NH2 groups. TAF-OH displays high affinity for methane (ΔQ = 21 KJ/mol). The intermolecular interactions could be further increased by the generation of Li-alkoxyde groups by post-synthetic modification process that allows to reach a high CH4 binding energy of 25 KJ/mol. Further researches are ongoing to establish how control over pore dimension and density of functional moieties could be exploited to obtain tailored materials for adsorptive applications either of gaseous and vapour species or from solution. References [1] S. Kitagawa, Acc. Chem. Res. 2017, 50, 514-516. [2] S. Bracco, D. Piga, I. Bassanetti, J. Perego, A. Comotti and P. Sozzani, J. Mater. Chem A 2017, 5, 10328-10337. [3] J. Perego, D. Piga, S. Bracco, P. Sozzani and A. Comotti, Chem. Commun. 2018, 54, 9321- 9324.
- Published
- 2019
19. Expandable porous organic frameworks with built-in amino and hydroxyl functions for CO2 and CH4 capture
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Perego, J, Piga, D, Bracco, S, Sozzani, P, Comotti, A, Perego, J., Piga, D., Bracco, S., Sozzani, P., Comotti, A., Perego, J, Piga, D, Bracco, S, Sozzani, P, Comotti, A, Perego, J., Piga, D., Bracco, S., Sozzani, P., and Comotti, A.
- Abstract
The synthesis of porous organic 3D frameworks, wherein amine, hydroxyl and Li-alkoxide functions were built directly on the monomer-unit carbon core, realizes improved interactions with target gases. CO2 was retained by the amine group with a remarkable energy of 54 kJ mol-1, while 2D MAS NMR provided rare evidence of amine-to-gas short-distance interactions. Frameworks containing hydroxyl and Li-alkoxide functions show optimal interaction energies with CH4 of up to 25 kJ mol-1. The light network of 3-branch building units ensures the expandability of the nano-sponges.
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- 2018
20. Carbonization of single polyacrylonitrile chains in coordination nanospaces
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Zhang, X, Kitao, T, Piga, D, Hongu, R, Bracco, S, Comotti, A, Sozzani, P, Uemura, T, Xiyuan Zhang, Takashi Kitao, Daniele Piga, Ryoto Hongu, Silvia Bracco, Angiolina Comotti, Piero Sozzani, Takashi Uemura, Zhang, X, Kitao, T, Piga, D, Hongu, R, Bracco, S, Comotti, A, Sozzani, P, Uemura, T, Xiyuan Zhang, Takashi Kitao, Daniele Piga, Ryoto Hongu, Silvia Bracco, Angiolina Comotti, Piero Sozzani, and Takashi Uemura
- Abstract
It has been over half a century since polyacrylonitrile (PAN)-based carbon fibers were first developed. However, the mechanism of the carbonization reaction remains largely unknown. Structural evolution of PAN during the preoxidation reaction, a stabilization reaction, is one of the most complicated stages because many chemical reactions, including cyclization, dehydration, and cross-linking reactions, simultaneously take place. Here, we report the stabilization reaction of single PAN chains within the one-dimensional nanochannels of metal-organic frameworks (MOFs) to study an effect of interchain interactions on the stabilization process as well as the structure of the resulting ladder polymer (LP). The stabilization reaction of PAN within the MOFs could suppress the rapid generation of heat that initiates the self-catalyzed reaction and inevitably provokes many side-reactions and scission of PAN chains in the bulk state. Consequently, LP prepared within the MOFs had a more extended conjugated backbone than the bulk condition. This journal is © The Royal Society of Chemistry.
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- 2020
21. Set-membership identification of input-output LPV models with uncertain time-varying parameters
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Cerone, V., primary, Piga, D., additional, and Regruto, D., additional
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- 2011
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22. Assessing the impact of short term outdoor air pollution exposure on cardiac dyspnea: a case study of the south of France
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Simoes, F, primary, Bouveyron, C, additional, Piga, D, additional, Borel, D, additional, Descombes, S, additional, Paquis-Flucklinger, V, additional, Gibelin, P, additional, Levraut, J, additional, and Bottini, S, additional
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- 2020
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23. Œsophagite ulcérée induite par la doxycycline en milieu tropical: à propos d’une observation au Burkina Faso
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Sombie, R., Bougouma, A., Tieno, H., Darankoum, D., Napon-Zongo, D., Serme, A. -K., and Ilboudo Piga, D.
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- 2009
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24. Porous Materials: the Interplay with Linear Polymers
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Sozzani, P, Comotti, A, Bracco, S, Perego, J, Piga, D, Sozzani, P, Comotti, A, Bracco, S, Perego, J, and Piga, D
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porosity, confined polymerization, extended chain morphology, grafitic fibers, solid state NMR ,CHIM/04 - CHIMICA INDUSTRIALE - Abstract
Porous materials provide great oportunities for the construction of architectures with linear polymers. The chains can be generated in situ starting from the absorbed monomers, co-assembled or diffused from a fluid phase. The influence of the porous framework surrounding the included polymers allows for the control on the conformational arrangement, which, in turn, determines extended chain morphology and conductive properties. On higher hierarchical scales it was feasible to build integrated constructions among single-chains or nanobundles and the 3D networks. Thermal transformation of the polymer chains into graphitic fibers, semiconductive and conductive polyaromatic chains was performed starting from polyacrylonitrile generatied in the nanospaces. In some cases we could achieve the participation of the chains in the network by copolymerization reactions with the formation of covalent bonds between the framework and the polymer. The porous materials were chosen among crystalline molecular materials (PMCs), metal organic (MOFs), porous organic frameworks (POFs) and hybrid organosiloxane mesoporus matrices (PMOs). If desired, the host can be removed from the polymer in distinct ways depending on the easiness of subliming and dissolving as in PMCs, digesting the metal-organic bonds in MOFs, or dissociating carbon-silicon bonds in PMOs. On the contrary, reactive elements were inserted into the porous material in such a way to connect adjacent chains. Distinct cross-section pores (from 0.5 - 4 nm) allow for an individual or a limited number of polymer chains to be collected.Therefore, it was demonstrated that a variety of solutions may be designed to optimize the couple framework/linear-polymer, with the goal in mind to orient the nanocomposite structure and properties. The generation of multiple heterogeneous intaractions in the sophisticated architecctures was an ideal playground for solid state multinuclear NMR, which could recognize specific interactions and nanometric intimacy among the constituents. References 1. Chem. Eur. J. 2016, 21, 18209; Nature Chem. 2013, 5, 335; Angew. Chem. Int. Ed. 2016, 55, 1378.
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- 2018
25. Porous Organic Polymers for high pressure methane uptake and storage
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Perego, J, Piga, D, Bassanetti, I, Bracco, S, Comotti, A, Sozzani, P, Perego, J, Piga, D, Bassanetti, I, Bracco, S, Comotti, A, and Sozzani, P
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CHIM/02 - CHIMICA FISICA ,CHIM/04 - CHIMICA INDUSTRIALE ,POPs, porosity, gas adsorption, CO2, CH4, selectivity - Abstract
A series of porous organic polymers were synthetized through extensive cross-linking of aromatic monomers containing multiple reactive sites. The inefficient packing of monomeric units determined the formation of highly porous frameworks with surface areas up to 4800 m2/g and broad pore size distributions. Besides, the formation of strong covalent bonds accounted for high chemical and thermal stability. In depth solid state NMR analysis allowed us to check the purity of samples and to determine the connectivity and the microstructure of porous frameworks. Due to their possible application in Adsorbed Natural Gas technology (ANG) methane uptake was measured up to 180 bar at room temperature. The methane uptake at high pressure was related to the surface area and the total pore volume obtained by nitrogen adsorption isotherms at 77K. For example, triptycene-based material (TRIP) with surface area as high as 1600 m2/g could adsorb more than 400 cm3/g of methane at 180 bar. We also evaluated the volumetric methane uptake (cm3 of adsorbate per cm3 of adsorbent) at high pressure which is a critical parameter in methane transportation by ships. Moreover, the volumetric uptake allowed us to compare the results directly with compressed natural gas technology (CNG). At 180 bar the methane adsorption of TRIP sample reached a considerable value of 220 cm3/cm3. Furthermore, we could evaluate the gain in methane storage due to the presence of the porous material by comparing the total volumetric uptake of CH4 in presence of TRIP with pure compressed methane: a gain above 100% could be achieved up to 65 bar (Figure1). The isosteric heat of adsorption, as measured by the Clausius-Clapeyron equation, provided an insight into the strength of interactions between the methane molecules and the pore walls. At low coverage it ranged from 19 to 21 KJ/mol and it was among the highest value reported in literature. Such high values were attributed to multiple CH-π interactions between the methane molecules and the electron-rich aromatic rings. Lastly, we investigated carbon dioxide uptake up to 10 bar. All samples showed high CO2 uptake, isosteric heat of adsorption up to 30 KJ/mol and an excellent CO2/N2 selectivity ranging from 20 to 25 at room temperature (estimated by the Ideal Adsorbed Solution Theory IAST). These adsorption properties combined with the high chemical and thermal resistance and low hydrophilicity made porous organic polymers attractive for post-combustion treatment of industrial emissions. [1] Bracco, S.; Piga, D.; Bassanetti, I.; Perego J.; Comotti A.; Sozzani P. J. Mater. Chem. A 2017, 5, 10328-10337.
- Published
- 2018
26. FROM HIGH-PRESSURE TO IN-SITU POLYMERIZATION: DESIGN AND SYNTHESIS, NEW CHALLENGING OF POROUS MATERIALS
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Piga, D, COMOTTI, ANGIOLINA, PIGA, DANIELE, Piga, D, COMOTTI, ANGIOLINA, and PIGA, DANIELE
- Abstract
Il lavoro si è diviso in due parti. La prima parte è stato uno studio sulle capacità di adsorbimento di gas dei materiali porosi, in particolare sulla capacità di sistemi porosi organici nello stoccaggio di metano. Il lavoro si è basato su uno studio sistematico di una serie di materiali porosi organici, delle capacità di stoccaggio di metano ad alta pressione. I materiali sintetizzati sono stati confrontati con alcuni materiali porosi commerciali con alte prestazioni nello stoccaggio e hanno evidenziato un aumento delle quantità di gas possibilmente trasportabile al loro interno. I materiali sono stati confrontanti anche con i metodi comunemente usati per il trasporto di metano, risultando dei potenziali candidati per tale applicazione, considerando la facilità di produzione e la stabilità sia termica che chimica. Un'altra serie di materiali porosi con leggere modifiche alla struttura principale, ha dimostrato invece, la possibilità di modificare l'interazione del materiale con i differenti gas andando a ottenere dei composti con leggere modifiche strutturali ma con interazioni fisiche differenti. In una seconda parte mi sono concentrato sull'utilizzo dei pori di questi materiali come reattori per polimerizzazioni confinate. Il lavoro ha portato allo sviluppo per la prima volta della polimerizzazione anionica all'interno di tali materiali. Questa nuova e innovativa tecnica ha permesso di produrre polimeri con tatticità distinta e catene isolate. Successivamente, si è deciso di ancorare chimicamente il materiale poroso al polimero in crescita. Questo ha portato a polimeri con strutture diverse da quelle ottenibili con le classiche polimerizzazioni e allo sviluppo di un nuovo tipo di composito completamente carbonioso e chimicamente legato che impedisce il problema dello smiscelamento. Successivamente, l'utilizzo di materiali con pori monodimensionali, ha portato allo sviluppo di poliacrilonitrile all'interno dei canali del materiale. Il poliacrilonitrile, The work was divided into two parts. The first part was a study on the gas adsorption capacity of porous materials, in particular on the capacity of porous organic systems in methane storage. The work was based on a systematic study of a series of organic porous materials, of high pressure methane storage capacities. The synthesized materials were compared with some commercial porous materials with high performance in storage and showed an increase in the quantities of gas possibly transportable inside them. The materials were also compared with the methods commonly used for the transport of methane, resulting in potential candidates for this application, considering the ease of production and both thermal and chemical stability. Another series of porous materials with slight changes to the main structure, has shown, however, the possibility of modifying the interaction of the material with the different gases going to obtain compounds with slight structural changes but with different physical interactions. In a second part I focused on using the pores of these materials as reactors for confined polymerizations. The work led to the development of anionic polymerization in these materials for the first time. This new and innovative technique has allowed us to produce polymers with distinct tactics and isolated chains. Subsequently, it was decided to chemically anchor the porous material to the growing polymer. This has led to polymers with structures different from those obtainable with the classic polymerizations and to the development of a new type of completely carbonaceous and chemically bound composite that prevents the problem of de-mixing. Subsequently, the use of materials with one-dimensional pores, led to the development of polyacrylonitrile within the material channels. Polyacrylonitrile was subsequently converted through carbon fiber thermal treatments into the porous material. The thermal treatment of polyacrylonitrile inside the pores has led to a struc
- Published
- 2019
27. Metal-organic and organic frameworks: porosity, gas adsorption and fast dynamics
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Bracco, S, Negroni, M, Castiglioni, F, Perego, J, Piga, D, Comotti, A, Sozzani, P, Bracco, S, Negroni, M, Castiglioni, F, Perego, J, Piga, D, Comotti, A, and Sozzani, P
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CHIM/04 - CHIMICA INDUSTRIALE ,MOF, molecular crystals, rotors, porosity, ssNMR - Abstract
Crystalline porous materials are excellent candidates for the fabrication of molecular rotors in the solid state.1 The combination of remarkable porosity with ultra-fast rotor dynamics was discovered in molecular crystals and metal-organic frameworks (MOFs) by 2H spin-echo NMR spectroscopy and T1 relaxation times. Molecular rotors are exposed to the crystalline channels, which absorb CO2 and I2 vapors even at low pressure. Interestingly, dynamics could be controlled by I2 absorption/desorption, showing a remarkable change of material dynamics and suggesting the use of porous crystals in pollutant management. 2,3 A microporous MOF engineered to contain in its scaffold rod-like struts [1,4-bis(1H-pyrazol-4-ylethynyl)benzene] showed extremely rapid 180° flip reorientation of the central p-phenylene unit with rotational rates of 1011 Hz at 150 K. The permanent porosity of the crystals is demonstrated by CO2 adsorption isotherms at various temperatures and the selectivity of the MOF toward CO2/N2 binary mixtures is associated with the interaction energy, estimated to be 25 kJ mol-1, indicating a good interaction of CO2 with the channel walls. Crystal-pore accessibility of the MOF allowed the CO2 molecules to enter the cavities and control the molecular rotor spinning speed down to 105 Hz at 150 K (Fig. 1). 4 This strategy enabled the regulation of rotary motion by the diffusion of the gas within the channels and the determination of the energetics of rotary dynamics in the presence of CO2. This unique response of the materials to CO2 is of great importance for the environment, enlarging perspectives in the field of sensors and gas detection.
- Published
- 2017
28. Sources of PM2.5 at an urban-industrial Mediterranean city, Marseille (France): Application of the ME-2 solver to inorganic and organic markers
- Author
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Salameh, D., primary, Pey, J., additional, Bozzetti, C., additional, El Haddad, I., additional, Detournay, A., additional, Sylvestre, A., additional, Canonaco, F., additional, Armengaud, A., additional, Piga, D., additional, Robin, D., additional, Prevot, A.S.H., additional, Jaffrezo, J.-L., additional, Wortham, H., additional, and Marchand, N., additional
- Published
- 2018
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29. SOS for bounded rationality
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Benavoli, A., Alessandro Facchini, Piga, D., and Zaffalon, M.
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Computer Science::Computer Science and Game Theory ,Statistics::Applications ,Optimization and Control (math.OC) ,FOS: Mathematics ,Computer Science::Artificial Intelligence ,Mathematics - Optimization and Control - Abstract
In the gambling foundation of probability theory, rationality requires that a subject should always (never) find desirable all nonnegative (negative) gambles, because no matter the result of the experiment the subject never (always) decreases her money. Evaluating the nonnegativity of a gamble in infinite spaces is a difficult task. In fact, even if we restrict the gambles to be polynomials in R^n , the problem of determining nonnegativity is NP-hard. The aim of this paper is to develop a computable theory of desirable gambles. Instead of requiring the subject to accept all nonnegative gambles, we only require her to accept gambles for which she can efficiently determine the nonnegativity (in particular SOS polynomials). We refer to this new criterion as bounded rationality.
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- 2017
30. Porous materials for in situ polymerization and morphological transcription
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SOZZANI, PIERO ERNESTO, BRACCO, SILVIA, COMOTTI, ANGIOLINA, Piga, D, Forani, M, Perego, J., Sozzani, P, Bracco, S, Comotti, A, Piga, D, Forani, M, and Perego, J
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CHIM/02 - CHIMICA FISICA ,porosity, confined polymerization, morphology, solid state NMR ,CHIM/04 - CHIMICA INDUSTRIALE - Abstract
Our scientific activity is focused on polymerizations in porous materials and the control of solid state reactions as well as on the formation in situ of new complex architectures with polymers. The project exploits both the unprecedented potentials of porous materials presently in use and the properties induced to the polymers e.g. stereochemistry, chain alignment and morphology control: the matrices range from fully-organic covalent frameworks and metal-organic frameworks to porous molecular crystals of biological origin. The extraordinary surface areas (BET> 5000 m2/g) and pore capacity exhibited by porous aromatic frameworks (PAFs), which are themselves polymeric architectures[1] interconnected by covalent bonds, allow sorption of a large amount of monomers to form high-molecular-mass polymers tightly interwoven with the porous matrix [2]. Polyacrylonitrile (PAN) polymerized by this methodology could undergo in-situ thermal transformation to semi-conductive or conductive polymers and carbon nano-fibers. PAN was also synthesized in the form of isotactic polymer within the nanochannels of dipeptide porous crystals which were used as sacrificial polymerization vessels [3]. The crystalline matrix sublimed away at 250 °C after the polymer intramolecular reaction to yield a rigid 'ladder polymer', which retained the morphology of the crystal scaffold. Morphological control has also been obtained starting from mesoporous silica to fabricate polymeric micro-objects [4]. In the case of metal-organic host framework the innovative idea was to make the host participating in the polymerization with two reactive vinyl pendant groups, that resulted in a cross-linked network [5]. The crystal scaffold of the host was removed except where it participates in the cross-linking reaction and acts as clipping point for the aligned polymer chains. Although the polymer chains grow in the atactic configuration, they exhibit periodic order since are kept in register by the molecular clips. Chain-periodicity was ascertained by XRD and TEM. In a further example, through CH∙∙∙ interactions, the molecular recognition of specific blocks of triblock copolymers were recognized by the host molecule, promoting the formation of hierarchical periodic structures and surface inclusion compounds [6]. The formation of the supramolecular architectures was followed by in situ synchrotron XRD while specific intermolecular interactions were highlighted by fast-1H MAS NMR and GIAO HF ab initio calculations
- Published
- 2015
31. Nanoporous materials for confined polymerization and molecular rotor dynamics. (Invited Oral Presentation)
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SOZZANI, PIERO ERNESTO, BRACCO, SILVIA, COMOTTI, ANGIOLINA, Forani, M., Piga, D, Sozzani, P, Bracco, S, Forani, M, Piga, D, and Comotti, A
- Subjects
confined polymerization, porosity, ladder polymer, molecular rotors ,CHIM/04 - CHIMICA INDUSTRIALE - Abstract
The extraordinary surface areas (BET> 5000 m2/g) and pore capacity exhibited by porous aromatic frameworks (PAFs), which are themselves organic polymeric architectures[1] interconnected by covalent bonds, allow sorption of a large amount of monomers to form high-molecular-mass polymers tightly interwoven with the porous matrix [2]. Polyacrylonitrile (PAN) polymerized by this methodology could undergo in-situ thermal transformation to semi-conductive or conductive polymers and carbon nano-fibers. PAN was also synthesized in the form of isotactic polymer within the nanochannels of dipeptide porous crystals which were used as sacrificial polymerization vessels [3]. The crystalline matrix sublimed away at 250 °C after the polymer intramolecular reaction to yield a rigid 'ladder polymer', which retained the morphology of the crystal scaffold. Morphological control has also been obtained starting from mesoporous silica to fabricate polymeric micro-objects. In the case of metal-organic host framework the innovative idea was to make the host participate in the polymerization with two reactive vinyl pendant groups, that resulted in a cross-linked network [4]. The crystal scaffold of the host was removed except where it participates in the cross-linking reaction and acts as clipping point for the aligned polymer chains. Although the polymer chains grow in the atactic configuration, they exhibit periodic order since they are kept in register by the molecular clips. Chain-periodicity was ascertained by XRD and TEM. Moreover, molecular rotors were built in porous organic frameworks, combining the features of porosity and dynamics. The intervention of guests entering from the liquid or vapor phases, such as melted alkanes or iodine, could modulate the motional behavior of the rotors, as shown by 2H NMR. References 1. Angew. Chem. Int Ed. 2014, 53, 1043. 2. Angew. Chem. Int Ed. 2012, 51, 10136. 3 Angew. Chem. Int Ed. 2012, 51, 9258. 4. Nature Chem. 2013, 5, 335.
- Published
- 2015
32. Expandable porous organic frameworks with built-in amino and hydroxyl functions for CO2and CH4capture
- Author
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Perego, J., primary, Piga, D., additional, Bracco, S., additional, Sozzani, P., additional, and Comotti, A., additional
- Published
- 2018
- Full Text
- View/download PDF
33. Porous 3D polymers for high pressure methane storage and carbon dioxide capture
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Bracco, S, Piga, D, Bassanetti, I, Perego, J, Comotti, A, Sozzani, P, Bracco, S, Piga, D, Bassanetti, I, Perego, J, Comotti, A, and Sozzani, P
- Abstract
High surface area 3D polymers represent one of the most promising classes of porous materials because of their high gas uptake and stability to thermal and chemical degradation. A series of porous organic polymers with aromatic building units have been synthesized and compared to explore their high-pressure performance as adsorbents of gases of relevant importance for energy and the environment. Particular attention was paid to methane storage up to pressures as high as 180 bar at ambient temperature. Porous polymers were prepared starting from a wide choice of spatially expanded aromatic monomers: a systematic change in the number of rings, variable size and shape was taken under consideration. The high number of rings (up to 6), which act as multiple reactive sites and form a number of connections between the multi-dentate nodes, result in an extensive cross-linked framework. Condensation was obtained by two alternative synthetic routes, viz., Yamamoto cross-coupling and Friedel-Crafts alkylation reactions. The structural characteristics and high stability of the porous polymers, even to mechanical compression, were carefully determined by several methods, including 1D and 2D solid state NMR, FT IR and thermal analyses. The CH4 uptake in the porous polymers allowed an understanding of the incremental response to pressure, up to extremely high values, and the exploitation of the extensive pressure range to customize the gas adsorption/desorption cycles for storage and transportation. Owing to the notable presence of large mesopores and network flexibility, combined with high surface area, a remarkable gain at high pressure was achieved, ensuring a highly competitive uptake/delivery efficiency. At 180 bar, adsorption values up to 445 cm3 STP g-1 were measured for porous organic polymers such as carbazolyl- and triptycene-based materials. The benchmark of these materials PAF1 reaches the value of 916 cm3 STP g-1 of adsorbed CH4, exceeding the performance of most of t
- Published
- 2017
34. Continuous-time linear time-varying system identification with a frequency-domain kernel-based estimator
- Author
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Lataire, J.P.G., Pintelon, R., Piga, D., Tóth, R., Lataire, J.P.G., Pintelon, R., Piga, D., and Tóth, R.
- Abstract
A novel estimator for the identification of continuous-time linear time-varying systems is presented in this paper. The estimator uses kernel-based regression to identify the time-varying coefficients of a linear ordinary differential equation, based on noisy samples of the input and output signals. The estimator adopts a mixed time- and frequency-domain formulation, which allows it to be formulated as the solution of a set of algebraic equations, without relying on finite differences to approximate the time derivatives. Since a kernel-based approach is used, the model complexity selection of the time-varying parameters is formulated as an optimisation problem with continuous variables. Variance and bias expressions of the estimate are derived and validated on a simulation example. Also, it is shown that, in highly noisy environments, the proposed kernel-based estimator provides more reliable results than an 'Oracle'-based estimator which is deprived of regularisation.
- Published
- 2017
35. Absorptive Organic and Hybrid Materials for Gases and Polymers
- Author
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Sozzani, P, Perego, J, Piga, D, Asnaghi, D, Bassanetti, I, Bracco, S, Sozzani, P, Perego, J, Piga, D, Asnaghi, D, Bassanetti, I, and Bracco, S
- Abstract
The fabrication of porous architectures for the confinement of gases and polymer chains to pores is a challenging research area. The matrices range from fully-organic and metal-organic frameworks to porous molecular crystals of synthetic and biological origin, such as dipeptides.[1] We were mostly intrigued in comparing the matrices depending on the nature of the interactions, pore shape, surface area and pore capacity. Like gases, flexible polymer chains can diffuse inside the galleries undergoing severe steric requirements which tune their conformations, dynamics and properties. Fast-1H, 19F and 2D hetero-correlated MAS NMR spectroscopies played a key role in determining the host-guest interactions at the interfaces and the relationships between the components. A few case studies will be highlighted. A peculiar kind of porous crystalline solid derives from the use of hard and soft interactions in a hierarchical construction. Primary supramolecular toroidal structures are formed by robust metal-organic bonds: they can self-assemble four-by-four into the shape of Platonic solids, held together by van der Waals and coulombic interactions.[2] Anions play a major role in modulating the architectures. The 3D crystalline structures are permanently porous and able to entrap reversibly vapors and gases. In a further example, 1,3-butadiene vapors could be separated from other C4 hydrocarbon by a MOF matrix [3], which provides structural flexibility and unique guest-responsive accommodation. Regarding the relevant issue of manipulating and transforming polymer chains in a confined environment, we varied the conducting properties of polyacrylonitrile chains by thermal transformation into graphitized nanofibers.[4] Moreover, isolation of single polysilane chains increased the rate of carrier mobility in comparison with that in the bulk state due to the elimination of the slow interchain hole-hopping.[5] The main chain conformation of polysilane could be controlled by changing
- Published
- 2017
36. In situ polymerization in 3D porous materials
- Author
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Sozzani, P, Bracco, S, Perego, J, Piga, D, Bassanetti, I, Comotti, A, SOZZANI, PIERO ERNESTO, BRACCO, SILVIA, PEREGO, JACOPO, PIGA, DANIELE, BASSANETTI, IRENE, COMOTTI, ANGIOLINA, Sozzani, P, Bracco, S, Perego, J, Piga, D, Bassanetti, I, Comotti, A, SOZZANI, PIERO ERNESTO, BRACCO, SILVIA, PEREGO, JACOPO, PIGA, DANIELE, BASSANETTI, IRENE, and COMOTTI, ANGIOLINA
- Published
- 2017
37. Polymerization in Nanoporous Materials
- Author
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Asnaghi, D, Sormani, G, Piga, D, Denaro, F, BERETTA, MARIO, COMOTTI, ANGIOLINA, BRACCO, SILVIA, SOZZANI, PIERO ERNESTO, Asnaghi, D, Sormani, G, Piga, D, Denaro, F, Beretta, M, Comotti, A, Bracco, S, and Sozzani, P
- Subjects
confined polymerization, porous materials, NMR ,CHIM/04 - CHIMICA INDUSTRIALE - Published
- 2014
38. Direct learning of LPV controllers from data
- Author
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Formentin, S., Piga, D., Tóth, R., Savaresi, S.M., Formentin, S., Piga, D., Tóth, R., and Savaresi, S.M.
- Abstract
In many control applications, it is attractive to describe nonlinear (NL) and time-varying (TV) plants by linear parameter-varying (LPV) models and design controllers based on such representations to regulate the behavior of the system. The LPV system class offers the representation of NL and TV phenomena as a linear dynamic relationship between input and output signals, which is dependent on some measurable signals, e.g., operating conditions, often called as scheduling variables. For such models, powerful control synthesis tools are available, but the way how to systematically convert available first principles models to LPV descriptions of the plant, to efficiently identify LPV models for control from data and to understand how modeling errors affect the control performance are still subject of undergoing research. Therefore, it is attractive to synthesize the controller directly from data without the need of modeling the plant and addressing the underlying difficulties. Hence, in this paper, a novel data-driven synthesis scheme is proposed in a stochastic framework to provide a practically applicable solution for synthesizing LPV controllers directly from data. Both the cases of fixed order controller tuning and controller structure learning are discussed and two different design approaches are provided. The effectiveness of the proposed methods is also illustrated by means of an academic example and a real application based simulation case study.
- Published
- 2016
39. Polimerizzazioni confinate in matrici organiche porose con elevata area superficiale
- Author
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Piga, D, Sozzani, P, Comotti, A, Bassanetti, I, Bracco, S, PIGA, DANIELE, SOZZANI, PIERO ERNESTO, COMOTTI, ANGIOLINA, BASSANETTI, IRENE, BRACCO, SILVIA, Piga, D, Sozzani, P, Comotti, A, Bassanetti, I, Bracco, S, PIGA, DANIELE, SOZZANI, PIERO ERNESTO, COMOTTI, ANGIOLINA, BASSANETTI, IRENE, and BRACCO, SILVIA
- Abstract
Compositi nanostrutturati sono stati ottenuti dalla polimerizzazione radicalica dell’acrilonitrile, stechiometrico e in eccesso, all’interno della matrice porosa del PAF1. Le analisi spettroscopiche e termiche hanno rilevato una presenza massiva di poliacrilonitrile all’interno della matrice porosa e hanno evidenziato un’intima relazione tra le nanofasi. Trattamenti termici e successive analisi spettroscopiche hanno evidenziato come la matrice polimerica possa essere utilizzata come supporto per la trasformazione termica del PAN.
- Published
- 2016
40. Confined polymerization in porous materials
- Author
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Perego, J, Comotti, A, Bracco, S, Piga, D, Sozzani, P, COMOTTI, ANGIOLINA, BRACCO, SILVIA, PIGA, DANIELE, SOZZANI, PIERO ERNESTO, Perego, J, Comotti, A, Bracco, S, Piga, D, Sozzani, P, COMOTTI, ANGIOLINA, BRACCO, SILVIA, PIGA, DANIELE, and SOZZANI, PIERO ERNESTO
- Abstract
Introduction: Porous materials with permanent porosity have recently emerged as an exciting research field with potential applications in gas storage, separation and catalysis. Porous aromatic frameworks and periodic mesoporous organosilicas showed high robustness and extraordinary chemical stability that made them ideal for supporting chemical reactions without framework destruction. Confined polymerization in nanopores allowed the synthesis of innovative nanostructured materials and nanocomposites with extended interfaces that couldn’t be obtained otherwise. Materials and methods: Porous aromatic framework (PAF-1) was synthetized through a Yamamoto-type Ullmann cross-coupling. P-phenylene silica (PSS) was prepared by a template synthesis. These porous frameworks were characterized with nitrogen adsorption measurement, IR spectroscopy, DSC, TGA and ss-NMR. The polymerizations were performed in the liquid phase: a solution of AIBN (azobisisobutyronitrile) in distilled acrylonitrile was diffused inside the pores of the matrixes and the samples were heated to activate the polymerizations. The nanocomposites were prepared either with stoichiometric amount of monomers or excess monomers. The nanocomposites were characterized with nitrogen adsorption measurement, thermogravimetric analysis and electron microscope techniques (SEM, HR-TEM). The interactions between the porous matrixes and the engendered polymer were investigated with fast magic-angle-spinning 2D 1H-13C HETCOR NMR. The nanocomposites were heated at different temperatures (300-1000°C) under an inert atmosphere. Results: The confined polymerization of acrylonitrile inside the pores of PAF-1 and PSS with stoichiometric amount of monomers led to the fabrication of nanocomposites with intimate relationship between host and guest. The matrixes and the polymer form extensively interdigitated nanophases through multiple interactions. By treating the PAF-1/PAN nanocomposite at 300°C the formation of a ladder polymer
- Published
- 2016
41. An instrumental Least Squares Support Vector Machine for nonlinear system identification
- Author
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Laurain, V., Tóth, R., Piga, D., Zheng, W-X., Laurain, V., Tóth, R., Piga, D., and Zheng, W-X.
- Abstract
Least-Squares Support Vector Machines (LS-SVMs), originating from Statistical Learning and Reproducing Kernel Hilbert Space (RKHS) theories, represent a promising approach to identify nonlinear systems via nonparametric estimation of the involved nonlinearities in a computationally and stochastically attractive way. However, application of LS-SVMs and other RKHS variants in the identification context is formulated as a regularized linear regression aiming at the minimization of the ℓ2 loss of the prediction error. This formulation corresponds to the assumption of an auto-regressive noise structure, which is often found to be too restrictive in practical applications. In this paper, Instrumental Variable (IV) based estimation is integrated into the LS-SVM approach, providing, under minor conditions, consistent identification of nonlinear systems regarding the noise modeling error. It is shown how the cost function of the LS-SVM is modified to achieve an IV-based solution. Although, a practically well applicable choice of the instrumental variable is proposed for the derived approach, optimal choice of this instrument in terms of the estimates associated variance still remains to be an open problem. The effectiveness of the proposed IV based LS-SVM scheme is also demonstrated by a Monte Carlo study based simulation example.
- Published
- 2015
42. LPV system identification under noise corrupted scheduling and output signal observations
- Author
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Piga, D., Cox, P.B., Tóth, R., Laurain, V., Piga, D., Cox, P.B., Tóth, R., and Laurain, V.
- Abstract
Most of the approaches available in the literature for the identification of Linear Parameter-Varying (LPV) systems rely on the assumption that only the measurements of the output signal are corrupted by the noise, while the observations of the scheduling variable are considered to be noise free. However, in practice, this turns out to be an unrealistic assumption in most of the cases, as the scheduling variable is often related to a measured signal and, thus, it is inherently affected by a measurement noise. In this paper, it is shown that neglecting the noise on the scheduling signal, which corresponds to an error-in-variables problem, can lead to a significant bias on the estimated parameters. Consequently, in order to overcome this corruptive phenomenon affecting practical use of data-driven LPV modeling, we present an identification scheme to compute a consistent estimate of LPV Input/Output (IO) models from noisy output and scheduling signal observations. A simulation example is provided to prove the effectiveness of the proposed methodology.
- Published
- 2015
43. Nanoporous materials for confined polymerization and molecular rotor dynamics. (Invited Oral Presentation)
- Author
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Sozzani, P, Bracco, S, Forani, M, Piga, D, Comotti, A, SOZZANI, PIERO ERNESTO, BRACCO, SILVIA, COMOTTI, ANGIOLINA, Forani, M., Sozzani, P, Bracco, S, Forani, M, Piga, D, Comotti, A, SOZZANI, PIERO ERNESTO, BRACCO, SILVIA, COMOTTI, ANGIOLINA, and Forani, M.
- Abstract
The extraordinary surface areas (BET> 5000 m2/g) and pore capacity exhibited by porous aromatic frameworks (PAFs), which are themselves organic polymeric architectures[1] interconnected by covalent bonds, allow sorption of a large amount of monomers to form high-molecular-mass polymers tightly interwoven with the porous matrix [2]. Polyacrylonitrile (PAN) polymerized by this methodology could undergo in-situ thermal transformation to semi-conductive or conductive polymers and carbon nano-fibers. PAN was also synthesized in the form of isotactic polymer within the nanochannels of dipeptide porous crystals which were used as sacrificial polymerization vessels [3]. The crystalline matrix sublimed away at 250 °C after the polymer intramolecular reaction to yield a rigid 'ladder polymer', which retained the morphology of the crystal scaffold. Morphological control has also been obtained starting from mesoporous silica to fabricate polymeric micro-objects. In the case of metal-organic host framework the innovative idea was to make the host participate in the polymerization with two reactive vinyl pendant groups, that resulted in a cross-linked network [4]. The crystal scaffold of the host was removed except where it participates in the cross-linking reaction and acts as clipping point for the aligned polymer chains. Although the polymer chains grow in the atactic configuration, they exhibit periodic order since they are kept in register by the molecular clips. Chain-periodicity was ascertained by XRD and TEM. Moreover, molecular rotors were built in porous organic frameworks, combining the features of porosity and dynamics. The intervention of guests entering from the liquid or vapor phases, such as melted alkanes or iodine, could modulate the motional behavior of the rotors, as shown by 2H NMR. References 1. Angew. Chem. Int Ed. 2014, 53, 1043. 2. Angew. Chem. Int Ed. 2012, 51, 10136. 3 Angew. Chem. Int Ed. 2012, 51, 9258. 4. Nature Chem. 2013, 5, 335.
- Published
- 2015
44. Porous materials for in situ polymerization and morphological transcription
- Author
-
Sozzani, P, Bracco, S, Comotti, A, Piga, D, Forani, M, Perego, J, SOZZANI, PIERO ERNESTO, BRACCO, SILVIA, COMOTTI, ANGIOLINA, Perego, J., Sozzani, P, Bracco, S, Comotti, A, Piga, D, Forani, M, Perego, J, SOZZANI, PIERO ERNESTO, BRACCO, SILVIA, COMOTTI, ANGIOLINA, and Perego, J.
- Abstract
Our scientific activity is focused on polymerizations in porous materials and the control of solid state reactions as well as on the formation in situ of new complex architectures with polymers. The project exploits both the unprecedented potentials of porous materials presently in use and the properties induced to the polymers e.g. stereochemistry, chain alignment and morphology control: the matrices range from fully-organic covalent frameworks and metal-organic frameworks to porous molecular crystals of biological origin. The extraordinary surface areas (BET> 5000 m2/g) and pore capacity exhibited by porous aromatic frameworks (PAFs), which are themselves polymeric architectures[1] interconnected by covalent bonds, allow sorption of a large amount of monomers to form high-molecular-mass polymers tightly interwoven with the porous matrix [2]. Polyacrylonitrile (PAN) polymerized by this methodology could undergo in-situ thermal transformation to semi-conductive or conductive polymers and carbon nano-fibers. PAN was also synthesized in the form of isotactic polymer within the nanochannels of dipeptide porous crystals which were used as sacrificial polymerization vessels [3]. The crystalline matrix sublimed away at 250 °C after the polymer intramolecular reaction to yield a rigid 'ladder polymer', which retained the morphology of the crystal scaffold. Morphological control has also been obtained starting from mesoporous silica to fabricate polymeric micro-objects [4]. In the case of metal-organic host framework the innovative idea was to make the host participating in the polymerization with two reactive vinyl pendant groups, that resulted in a cross-linked network [5]. The crystal scaffold of the host was removed except where it participates in the cross-linking reaction and acts as clipping point for the aligned polymer chains. Although the polymer chains grow in the atactic configuration, they exhibit periodic order since are kept in register by the molecular clips
- Published
- 2015
45. Data-driven LPV modeling of continuous pulp digesters
- Author
-
Piga, D., Toth, R., Control Systems, Control of high-precision mechatronic systems, and Machine Learning for Modelling and Control
- Published
- 2013
46. LPV control system design from data
- Author
-
Formentin, S., Piga, D., Toth, R., Savaresi, S.M., Control Systems, Control of high-precision mechatronic systems, and Machine Learning for Modelling and Control
- Published
- 2013
47. An instrumental least squares support vector machine for nonlinear system identfication: enforcing zero-centering constraints
- Author
-
Laurain, V., Toth, R., Piga, D., Control Systems, Control of high-precision mechatronic systems, and Machine Learning for Modelling and Control
- Published
- 2013
48. Source apportionment of fine atmospheric particles in Marseille : a one year study
- Author
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Salameh, D., Detournay, A., Wortham, H., Jaffrezo, J. L., Piot, C., Armengaud, A., Piga, D., Parra, M., Deveze, M., Nicolas Marchand, Laboratoire Chimie de l'environnement (LCE), Aix Marseille Université (AMU)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de glaciologie et géophysique de l'environnement (LGGE), Observatoire des Sciences de l'Univers de Grenoble (OSUG), Université Savoie Mont Blanc (USMB [Université de Savoie] [Université de Chambéry])-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP)-Institut national de recherche en sciences et technologies pour l'environnement et l'agriculture (IRSTEA)-Université Joseph Fourier - Grenoble 1 (UJF)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Université Savoie Mont Blanc (USMB [Université de Savoie] [Université de Chambéry])-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP)-Institut national de recherche en sciences et technologies pour l'environnement et l'agriculture (IRSTEA)-Université Joseph Fourier - Grenoble 1 (UJF)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Chimie Moléculaire et Environnement (LCME), Université Savoie Mont Blanc (USMB [Université de Savoie] [Université de Chambéry])-Université Grenoble Alpes (UGA), Dept of Genetics, Evolution and Environment [London] (UCL-GEE), University College of London [London] (UCL), Aix Marseille Université (AMU)-Institut de Chimie du CNRS (INC)-Centre National de la Recherche Scientifique (CNRS), Université Joseph Fourier - Grenoble 1 (UJF)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Institut national des sciences de l'Univers (INSU - CNRS)-Institut national de recherche en sciences et technologies pour l'environnement et l'agriculture (IRSTEA)-Université Savoie Mont Blanc (USMB [Université de Savoie] [Université de Chambéry])-Centre National de la Recherche Scientifique (CNRS)-Université Joseph Fourier - Grenoble 1 (UJF)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Institut national des sciences de l'Univers (INSU - CNRS)-Institut national de recherche en sciences et technologies pour l'environnement et l'agriculture (IRSTEA)-Université Savoie Mont Blanc (USMB [Université de Savoie] [Université de Chambéry])-Centre National de la Recherche Scientifique (CNRS)-Centre National de la Recherche Scientifique (CNRS), Université Savoie Mont Blanc (USMB [Université de Savoie] [Université de Chambéry]), Centre National de la Recherche Scientifique (CNRS)-Institut national des sciences de l'Univers (INSU - CNRS)-Observatoire des Sciences de l'Univers de Grenoble (OSUG), and Centre National de la Recherche Scientifique (CNRS)-Université Joseph Fourier - Grenoble 1 (UJF)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Institut national de recherche en sciences et technologies pour l'environnement et l'agriculture (IRSTEA)-Institut national des sciences de l'Univers (INSU - CNRS)-Université Savoie Mont Blanc (USMB [Université de Savoie] [Université de Chambéry])-Centre National de la Recherche Scientifique (CNRS)-Université Joseph Fourier - Grenoble 1 (UJF)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Institut national de recherche en sciences et technologies pour l'environnement et l'agriculture (IRSTEA)-Université Savoie Mont Blanc (USMB [Université de Savoie] [Université de Chambéry])
- Subjects
[SDE]Environmental Sciences ,[CHIM]Chemical Sciences ,ComputingMilieux_MISCELLANEOUS - Abstract
International audience
- Published
- 2013
49. An instrumental least squares support vector machine for system identification
- Author
-
Toth, R., Laurain, V., Piga, D., Control Systems, Control of high-precision mechatronic systems, and Machine Learning for Modelling and Control
- Published
- 2013
50. An SDP approach for l0-minimization : application to ARX model segmentation
- Author
-
Piga, D., Toth, R., Control Systems, Control of high-precision mechatronic systems, and Machine Learning for Modelling and Control
- Abstract
Minimizing the l0-seminorm of a vector under convex constraints is a combinatorial (NP-hard) problem. Replacement of the l0-seminorm with the l1-norm is a commonly used approach to compute an approximate solution of the original l0-minimization problem by means of convex programming. In the theory of compressive sensing, the condition that the sensing matrix satisfies the Restricted Isometry Property (RIP) is a sufficient condition to guarantee that the solution of the l1-approximated problem is equal to the solution of the original l0-minimization problem. However, the evaluation of the conservativeness of the l1-relaxation approaches is recognized to be a difficult task in case the RIP is not satisfied. In this paper, we present an alternative approach to minimize the l0-norm of a vector under given constraints. In particular, we show that an l0-minimization problem can be relaxed into a sequence of semidefinite programming problems, whose solutions are guaranteed to converge to the optimizer (if unique) of the original combinatorial problem also in case the RIP is not satisfied. Segmentation of ARX models is then discussed in order to show, through a relevant problem in system identification, that the proposed approach outperforms the l1-based relaxation in detecting piece-wise constant parameter changes in the estimated model.
- Published
- 2013
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