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16 results on '"Hoai Nam, Nguyen"'

1. SPITFIR(e): A supermaneuverable algorithm for fast denoising and deconvolution of 3D fluorescence microscopy images and videos

Author

Sylvain Prigent, Hoai-Nam Nguyen, Ludovic Leconte, Cesar Augusto Valades-Cruz, Bassam Hajj, Jean Salamero, Charles Kervrann, Space-timE RePresentation, Imaging and cellular dynamics of molecular COmplexes (SERPICO), Inria Rennes – Bretagne Atlantique, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Biologie Cellulaire et Cancer, Institut Curie [Paris]-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Laboratoire Physico-Chimie Curie [Institut Curie] (PCC), Institut Curie [Paris]-Institut de Chimie du CNRS (INC)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), This work was jointly supported by the French National Research Agency (France-BioImaging ANR-10-INBS-04-07 and ANR-10-INBS-04-01, DALLISH-ANR-16-CE23-0005, LabEx Cell(n)Scale (ANR-11-LABX-0038) as part of the Idex PSL ANR-10-IDEX-0001-02) and Innopsys company. This work was also supported by ITMO Cancer (18CQ091)., L'institution (Inria) a financé les frais de publication pour que cet article soit en libre accès, and ANR-11-IDEX-0001,Amidex,INITIATIVE D'EXCELLENCE AIX MARSEILLE UNIVERSITE(2011)

Subjects
regularization, Multidisciplinary, [INFO.INFO-TI]Computer Science [cs]/Image Processing [eess.IV], sparsity, [SDV.BC.IC]Life Sciences [q-bio]/Cellular Biology/Cell Behavior [q-bio.CB], denoising, [SDV.IB]Life Sciences [q-bio]/Bioengineering, deconvolution, optimization, fluorescence microscopy, [SPI.SIGNAL]Engineering Sciences [physics]/Signal and Image processing
Abstract

Modern fluorescent microscopy imaging is still limited by the optical aberrations and the photon budget available in the specimen. A direct consequence is the necessity to develop flexible and “off-road” algorithms in order to recover structural details and improve spatial resolution, which is critical when restraining the illumination to low levels in order to limit photo-damages. Here, we report SPITFIR(e) a flexible method designed to accurately and quickly restore 2D–3D fluorescence microscopy images and videos (4D images). We designed a generic sparse-promoting regularizer to subtract undesirable out-of-focus background and we developed a primal-dual algorithm for fast optimization. SPITFIR(e) is a ”swiss-knife” method for practitioners as it adapts to any microscopy techniques, to various sources of signal degradation (noise, blur), to variable image contents, as well as to low signal-to-noise ratios. Our method outperforms existing state-of-the-art algorithms, and is more flexible than supervised deep-learning methods requiring ground truth datasets. The performance, the flexibility, and the ability to push the spatiotemporal resolution limit of sub-diffracted fluorescence microscopy techniques are demonstrated on experimental datasets acquired with various microscopy techniques from 3D spinning-disk confocal up to lattice light sheet microscopy.

Published
2023
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2. Compressive HDR light field imaging using a single multi-ISO sensor

Author

Ehsan Miandji, Hoai-Nam Nguyen, Saghi Hajisharif, Jonas Unger, Christine Guillemot, Department of Computer and Information Science - Linköping University, Linköping University (LIU), Analysis representation, compression and communication of visual data (Sirocco), Inria Rennes – Bretagne Atlantique, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-SIGNAUX ET IMAGES NUMÉRIQUES, ROBOTIQUE (IRISA-D5), Institut de Recherche en Informatique et Systèmes Aléatoires (IRISA), Université de Bretagne Sud (UBS)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National de Recherche en Informatique et en Automatique (Inria)-École normale supérieure - Rennes (ENS Rennes)-Centre National de la Recherche Scientifique (CNRS)-Université de Rennes 1 (UR1), Université de Rennes (UNIV-RENNES)-CentraleSupélec-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Bretagne Sud (UBS)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Institut de Recherche en Informatique et Systèmes Aléatoires (IRISA), Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-École normale supérieure - Rennes (ENS Rennes)-Centre National de la Recherche Scientifique (CNRS)-Université de Rennes 1 (UR1), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT), Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université de Bretagne Sud (UBS)-École normale supérieure - Rennes (ENS Rennes)-Institut National de Recherche en Informatique et en Automatique (Inria)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université de Bretagne Sud (UBS)-École normale supérieure - Rennes (ENS Rennes)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique (IMT Atlantique), and European Project: ERC-2016-STG-694122,CLIM

Subjects
Computational Mathematics, [INFO.INFO-TS]Computer Science [cs]/Signal and Image Processing, Signal Processing, ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION, compressive sensing, HDR, light fields, data sets, Computer Science Applications, [INFO.INFO-AI]Computer Science [cs]/Artificial Intelligence [cs.AI]
Abstract

International audience; In this paper, we propose a new design for single sensor compressive HDR light field cameras, combining multi-ISO photography with coded mask acquisition, placed in a compressive sensing framework. The proposed camera model is based on a main lens, a multi-ISO sensor and a coded mask located in the optical path between the main lens and the sensor that projects the coded spatio-angular information of the light field onto the 2D sensor. The model encompasses different acquisition scenarios with different ISO patterns and gains. Moreover, we assume that the sensor has a built-in color filter array (CFA), making our design more suitable for consumer-level cameras. We propose a reconstruction algorithm to jointly perform color demosaicing, light field angular information recovery, HDR reconstruction, and denoising from the multi-ISO measurements formed on the sensor. This is achieved by enabling the sparse representation of HDR light fields using an overcomplete HDR dictionary. We also provide two HDR light field data sets: one synthetic data set created using the Blender rendering software with two baselines, and a real light field data set created from the fusion of multi-exposure low dynamic range (LDR) images captured using a Lytro Illum light field camera. Experimental results show that, with a sampling rate as low as 2.67%, using two shots, our proposed method yields a higher light field reconstruction quality compared to the fusion of multiple LDR light fields captured with different exposures, and with the fusion of multiple LDR light fields captured with different ISO settings.

Published
2021
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3. Color and angular reconstruction of light fields from incomplete-color coded projections

Author

Christine Guillemot, Hoai-Nam Nguyen, Analysis representation, compression and communication of visual data (Sirocco), SIGNAUX ET IMAGES NUMÉRIQUES, ROBOTIQUE (IRISA-D5), Institut de Recherche en Informatique et Systèmes Aléatoires (IRISA), Université de Bretagne Sud (UBS)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National de Recherche en Informatique et en Automatique (Inria)-École normale supérieure - Rennes (ENS Rennes)-Centre National de la Recherche Scientifique (CNRS)-Université de Rennes 1 (UR1), Université de Rennes (UNIV-RENNES)-CentraleSupélec-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Bretagne Sud (UBS)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Institut de Recherche en Informatique et Systèmes Aléatoires (IRISA), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Inria Rennes – Bretagne Atlantique, Institut National de Recherche en Informatique et en Automatique (Inria), Inria Rennes – Bretagne Atlantique, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-SIGNAUX ET IMAGES NUMÉRIQUES, ROBOTIQUE (IRISA-D5), Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université de Bretagne Sud (UBS)-École normale supérieure - Rennes (ENS Rennes)-Institut National de Recherche en Informatique et en Automatique (Inria)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université de Bretagne Sud (UBS)-École normale supérieure - Rennes (ENS Rennes)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT), and European Project: ERC-2016-STG-694122,CLIM

Subjects
Demosaicing, Computer science, business.industry, ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION, variational algorithm, demosaic- ing, 020206 networking & telecommunications, 02 engineering and technology, Sparse approximation, 01 natural sciences, 010309 optics, Compressed sensing, Sampling (signal processing), [INFO.INFO-TS]Computer Science [cs]/Signal and Image Processing, Color gel, 0103 physical sciences, 0202 electrical engineering, electronic engineering, information engineering, light field, Computer vision, Artificial intelligence, Image sensor, business, Light field, Energy (signal processing), compressed sensing
Abstract

International audience; We present a simple variational approach for reconstructing color light fields (LFs) in the compressed sensing (CS) framework with very low sampling ratio, using both coded masks and color filter arrays (CFAs). A coded mask is placed in front of the camera sensor to optically modulate incoming rays, while a CFA is assumed to be implemented at the sensor level to compress color information. Hence, the LF coded projections, operated by a combination of the coded mask and the CFA, measure incomplete color samples with a three-times-lower sampling ratio than reference methods that assume full color (channel-by-channel) acquisition. We then derive adaptive algorithms to directly reconstruct the light field from raw sensor measurements by minimizing a convex energy composed of two terms. The first one is the data fidelity term which takes into account the use of CFAs in the imaging model, and the second one is a regularization term which favors the sparse representation of light fields in a specific transform domain. Experimental results show that the proposed approach produces a better reconstruction both in terms of visual quality and quantitative performance when compared to reference reconstruction methods that implicitly assume prior color interpolation of coded projections.

Published
2020

4. Simple Interpolating Control

Author

Hoai-Nam Nguyen, Per-Olof Gutman, Daniel Y. Rubin, Pedro Mercader, Alberto Bemporad, Technion - Israel Institute of Technology [Haifa], IFP Energies nouvelles (IFPEN), and IMT Institute for Advanced Studies [Lucca]

Subjects
0209 industrial biotechnology, Computer science, 020208 electrical & electronic engineering, Linear system, Volume (computing), robust stability, Admissible set, 02 engineering and technology, State (functional analysis), Constrained control, interpolation algorithms, 020901 industrial engineering & automation, Control and Systems Engineering, Control theory, Simple (abstract algebra), 0202 electrical engineering, electronic engineering, information engineering, Applied mathematics, uncertain linear systems, [MATH]Mathematics [math], Control (linguistics), state feedback, predictive control, Interpolation
Abstract

International audience; We present a new simple approach to extend the admissible region of a saturated control law for discrete-time linear systems under state and input constraints. The approach is based on the interpolation of a given, performance driven, control law and a low-gain controller. The latter is designed such that its admissible set has maximum volume. The interpolation does not require on-line numerical optimization, and an analytical formula for the controller is given. Several numerical examples are presented to illustrate the control technique.

Published
2018
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5. A variational method for dejittering large fluorescence line scanner images

Author

Cyril Cauchois, Vincent Paveau, Hoai-Nam Nguyen, Charles Kervrann, Space-timE RePresentation, Imaging and cellular dynamics of molecular COmplexes (SERPICO), Inria Rennes – Bretagne Atlantique, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Innopsys, and This work was supported by Innopsys Inc.

Subjects
Scanner, Mathematical optimization, ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION, 02 engineering and technology, variational method, fluorescence scannner, [INFO.INFO-TS]Computer Science [cs]/Signal and Image Processing, 0202 electrical engineering, electronic engineering, information engineering, quadratic relaxation, Image resolution, Image restoration, Mathematics, Energy functional, Jitter, proximal algorithm, Dejittering, 020206 networking & telecommunications, Subpixel rendering, Computer Science Applications, regularization, Computational Mathematics, Variational method, Signal Processing, Displacement field, [SPI.OPTI]Engineering Sciences [physics]/Optics / Photonic, 020201 artificial intelligence & image processing, Algorithm, optimization
Abstract

International audience; We propose a variational method dedicated to jitter correction of large fluorescence scanner images. Our method consists in minimizing a global energy functional to estimate a dense displacement field representing the spatially-varying jitter. The computational approach is based on a half-quadratic splitting of the energy functional, which decouples the realignment data term and the dedicated differential-based regularizer. The resulting problem amounts to alternatively solving two convex and nonconvex optimization subproblems with appropriate algorithms. Experimental results on artificial and large real fluorescence images demonstrate that our method is not only capable to handle large displacements but is also efficient in terms of subpixel precision without inducing additional intensity artifacts.

Published
2018

6. Constrained Control of Uncertain, Time-varying Linear Discrete-Time Systems Subject to Bounded Disturbances

Author

Sorin Olaru, Morten Hovd, Per-Olof Gutman, Hoai-Nam Nguyen, Laboratoire des signaux et systèmes (L2S), Université Paris-Sud - Paris 11 (UP11)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS), Dynamical Interconnected Systems in COmplex Environments (DISCO), Université Paris-Sud - Paris 11 (UP11)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS)-Université Paris-Sud - Paris 11 (UP11)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS)-Inria Saclay - Ile de France, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Technion - Israel Institute of Technology [Haifa], Department of Engineering Cybernetics [Trondheim] (ITK NTNU), Norwegian University of Science and Technology [Trondheim] (NTNU), and Norwegian University of Science and Technology (NTNU)-Norwegian University of Science and Technology (NTNU)

Subjects
0209 industrial biotechnology, Stability (learning theory), 02 engineering and technology, Linear-quadratic-Gaussian control, Ellipsoid, Computer Science Applications, [SPI.AUTO]Engineering Sciences [physics]/Automatic, 020901 industrial engineering & automation, Discrete time and continuous time, Control and Systems Engineering, Control theory, Bounded function, 0202 electrical engineering, electronic engineering, information engineering, 020201 artificial intelligence & image processing, Quadratic programming, Electrical and Electronic Engineering, Robust control, Interpolation, Mathematics
Abstract

International audience; The aim of this paper is twofold. In the first part, robust invariance for ellipsoidal sets with respect to uncertain and/or time-varying linear discrete-time systems with bounded additive disturbances is revisited. We provide an extension of an existing invariance condition. In the second part a novelrobust interpolation based control design involving several local unconstrained robust optimal controls is proposed. At each timeinstant a quadratic programming problem is solved on-line. Proofs of recursive feasibility and input-to-state stability are given.

Published
2015
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7. More efficient interpolating control

Author

Hoai-Nam Nguyen, Romain Bourdais, Per-Olof Gutman, Institut d'Electronique et de Télécommunications de Rennes (IETR), Centre National de la Recherche Scientifique (CNRS)-Ecole Supérieure d'Electricité - SUPELEC (FRANCE)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Université de Rennes 1 (UR1), Université de Rennes (UNIV-RENNES), Technion - Israel Institute of Technology [Haifa], Institut d'Électronique et des Technologies du numéRique (IETR), Université de Nantes (UN)-Université de Rennes 1 (UR1), Université de Rennes (UNIV-RENNES)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées (INSA)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS), Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Ecole Supérieure d'Electricité - SUPELEC (FRANCE)-Centre National de la Recherche Scientifique (CNRS), Université de Nantes (UN)-Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS), and Nantes Université (NU)-Université de Rennes 1 (UR1)

Subjects
Vertex (graph theory), 0209 industrial biotechnology, Mathematical optimization, Computational complexity theory, Linear programming, 020208 electrical & electronic engineering, Feasible region, 02 engineering and technology, Linear-quadratic-Gaussian control, [SPI.AUTO]Engineering Sciences [physics]/Automatic, Model predictive control, 020901 industrial engineering & automation, Control theory, 0202 electrical engineering, electronic engineering, information engineering, ComputingMilieux_MISCELLANEOUS, Interpolation, Mathematics
Abstract

Recent papers proposed an interpolating control methodology for linear discrete-time systems subject to input and state (output) constraints. The main idea of the approach is to blend a local high-gain optimal controller with a global low-gain vertex controller via interpolation. At each time instant, two linear programming problems of relatively small dimensions are solved online. The approach can be seen as an alternative to optimization based control schemes such as model predictive control. However for high-dimensional systems, computing a feasible set for vertex control is generally challenging, and the ability to determine the feasible set limits the applicability of the approach. The aim of the present paper is to propose a way which removes this difficulty, yields further significant improvements on the computational complexity and on the degree of optimality.

Published
2014

8. Improved MPC design for constrained linear periodic systems

Author

Per-Olof Gutman, Romain Bourdais, Hoai-Nam Nguyen, Institut d'Electronique et de Télécommunications de Rennes (IETR), Centre National de la Recherche Scientifique (CNRS)-Ecole Supérieure d'Electricité - SUPELEC (FRANCE)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Université de Rennes 1 (UR1), Université de Rennes (UNIV-RENNES), Institut d'Électronique et des Technologies du numéRique (IETR), Nantes Université (NU)-Université de Rennes 1 (UR1), Université de Rennes (UNIV-RENNES)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées (INSA)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS), Technion - Israel Institute of Technology [Haifa], Université de Nantes (UN)-Université de Rennes 1 (UR1), Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Ecole Supérieure d'Electricité - SUPELEC (FRANCE)-Centre National de la Recherche Scientifique (CNRS), Université de Nantes (UN)-Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), and Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS)

Subjects
Mathematical optimization, Control theory, ComputingMilieux_MISCELLANEOUS, Mathematics, [SPI.AUTO]Engineering Sciences [physics]/Automatic
Abstract

International audience

Published
2014

9. Constrained control of discrete-time linear periodic system

Author

Romain Bourdais, Hoai-Nam Nguyen, Institut d'Electronique et de Télécommunications de Rennes (IETR), Centre National de la Recherche Scientifique (CNRS)-Ecole Supérieure d'Electricité - SUPELEC (FRANCE)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Université de Rennes 1 (UR1), Université de Rennes (UNIV-RENNES), Institut d'Électronique et des Technologies du numéRique (IETR), Université de Nantes (UN)-Université de Rennes 1 (UR1), Université de Rennes (UNIV-RENNES)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées (INSA)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS), Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Ecole Supérieure d'Electricité - SUPELEC (FRANCE)-Centre National de la Recherche Scientifique (CNRS), Université de Nantes (UN)-Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS), and Nantes Université (NU)-Université de Rennes 1 (UR1)

Subjects
Discrete time and continuous time, Exponential stability, Linear programming, Control theory, State (functional analysis), Invariant (mathematics), Optimal control, Linear-quadratic-Gaussian control, ComputingMilieux_MISCELLANEOUS, Mathematics, [SPI.AUTO]Engineering Sciences [physics]/Automatic
Abstract

The aim of this paper is twofold. In the first part, we provide a method for constructing invariant sets for discrete-time linear periodic systems with state and input constraints. The main advantage of the method is that it generates invariant sets at any step of the underlying set iteration. In the second part a novel interpolating controller between a local unconstrained optimal control law and a global maximum state contractive controller is proposed. At each time instant, two linear programming problems are solved on-line. Proofs of recursive feasibility and asymptotic stability are given.

Published
2014

10. Control with constraints for linear stationary systems: An interpolation approach

Author

Hoai-Nam Nguyen, Morten Hovd, Sorin Olaru, P.-O. Gutman, Technion - Israel Institute of Technology [Haifa], Dynamical Interconnected Systems in COmplex Environments (DISCO), Laboratoire des signaux et systèmes (L2S), Université Paris-Sud - Paris 11 (UP11)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS)-Université Paris-Sud - Paris 11 (UP11)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS)-Inria Saclay - Ile de France, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Supélec Sciences des Systèmes (E3S), Ecole Supérieure d'Electricité - SUPELEC (FRANCE), Norwegian University of Science and Technology [Trondheim] (NTNU), and Norwegian University of Science and Technology (NTNU)

Subjects
0209 industrial biotechnology, Mathematical optimization, Linear programming, 020101 civil engineering, 02 engineering and technology, State (functional analysis), 16. Peace & justice, 0201 civil engineering, [SPI.AUTO]Engineering Sciences [physics]/Automatic, Constraint (information theory), Moment (mathematics), Model predictive control, 020901 industrial engineering & automation, Exponential stability, Control and Systems Engineering, Realizability, Applied mathematics, Electrical and Electronic Engineering, Mathematics, Interpolation
Abstract

International audience; We propose a new approach to controlling a discrete linear stationary system with a polyhedral constraint on the state and input. The basic idea is to use interpolation. The control law has both explicit and implicit forms. In the implicit form, at any moment of time, at most two linear programming problems are solved online. In the explicit form, the control law contains piecewise affine and continuous functions of state. This method can be viewed as an alternative to predictive control. We show proofs of recursive realizability and asymptotic stability.

Published
2014
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11. Constrained Decomposition Based Control Approach for Linear Parameter Varying Systems

Author

Hoai-Nam Nguyen, Sorin Olaru, P.-O. Gutman, Technion - Israel Institute of Technology [Haifa], Supélec Sciences des Systèmes (E3S), and Ecole Supérieure d'Electricité - SUPELEC (FRANCE)

Subjects
Lyapunov function, 0209 industrial biotechnology, Mathematical optimization, 020208 electrical & electronic engineering, Linear system, 02 engineering and technology, System of linear equations, Linear-fractional programming, [SPI.AUTO]Engineering Sciences [physics]/Automatic, symbols.namesake, 020901 industrial engineering & automation, Exponential stability, 0202 electrical engineering, electronic engineering, information engineering, symbols, Second-order cone programming, Lyapunov equation, Quadratic programming, Mathematics
Abstract

International audience; Considering a constrained discrete-time linear time-varying system, this paper proposes a novel approach which aims at achieving high performance and enlarging the domain of attraction with respect to any particular linear controller. The main idea of the paper is to use a linear decomposition principle together with a parameter dependent Lyapunov function. At each time instant a quadratic programming problem is solved on-line. Proofs of recursive feasibility and asymptotic stability are given.

Published
2013
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12. One-Step Receding Horizon Control for LPV Systems in Presence of Constraints

Author

P.-O. Gutman, Hoai-Nam Nguyen, Sorin Olaru, Supélec Sciences des Systèmes (E3S), Ecole Supérieure d'Electricité - SUPELEC (FRANCE), and Technion - Israel Institute of Technology [Haifa]

Subjects
Lyapunov function, 0209 industrial biotechnology, Mathematical optimization, Inverse quadratic interpolation, Horizon, 020208 electrical & electronic engineering, Linear system, 02 engineering and technology, [SPI.AUTO]Engineering Sciences [physics]/Automatic, symbols.namesake, 020901 industrial engineering & automation, Exponential stability, Control theory, Computer Science::Systems and Control, 0202 electrical engineering, electronic engineering, information engineering, symbols, Quadratic programming, Mathematics, Interpolation
Abstract

International audience; This paper proposes a novel receding horizon based controller for LPV discrete-time systems. The main idea exploited in the proposed algorithm is to use a parameter-dependent Lyapunov function together with an interpolation based control approach. At each time instant, the solution is obtained by means of a quadratic programming algorithm. Proofs of recursive feasibility and asymptotic stability are given.

Published
2013
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13. Hybrid modelling and constrained control of juggling systems

Author

Hoai-Nam Nguyen, Sorin Olaru, Supélec Sciences des Systèmes (E3S), and Ecole Supérieure d'Electricité - SUPELEC (FRANCE)

Subjects
0209 industrial biotechnology, Engineering, business.industry, Absolute time and space, Control engineering, 02 engineering and technology, Computer Science Applications, Theoretical Computer Science, Two degrees of freedom, [SPI.AUTO]Engineering Sciences [physics]/Automatic, Model predictive control, 020901 industrial engineering & automation, Control and Systems Engineering, Control theory, 0202 electrical engineering, electronic engineering, information engineering, Ball (bearing), Robot, 020201 artificial intelligence & image processing, business
Abstract

International audience; The goal of this article is to review the modelling framework for juggling systems by stressing the particularities of switching dynamics and to design a controller for the systems based on a reformulation of the model predictive control design. The main idea is to catch an impact during the prediction window at the desired level. One of the particularities is the on-line adaptation of the optimisation problem such that the receding prediction window assures the existence of an impact at a certain moment in absolute time. A constraints softening technique will be used to avoid the in-feasibility problems. In a first stage, the basic juggling system which consists of a ball and a juggling robot in one-dimensional case is detailed and subsequently the study is extended to the case of multiple balls juggling with two degrees of freedom. The simulation results demonstrate the performance of the presented approach.

Published
2013
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14. A patchy approximation of explicit model predictive control

Author

Sorin Olaru, Hoai-Nam Nguyen, Morten Hovd, Supélec Sciences des Systèmes (E3S), Ecole Supérieure d'Electricité - SUPELEC (FRANCE), Norwegian University of Science and Technology [Trondheim] (NTNU), and Norwegian University of Science and Technology (NTNU)

Subjects
0209 industrial biotechnology, Mathematical optimization, 020208 electrical & electronic engineering, Context (language use), Linear prediction, 02 engineering and technology, Linear interpolation, Optimal control, Computer Science Applications, System dynamics, [SPI.AUTO]Engineering Sciences [physics]/Automatic, Piecewise linear function, Model predictive control, 020901 industrial engineering & automation, Control and Systems Engineering, 0202 electrical engineering, electronic engineering, information engineering, State space, Mathematics
Abstract

The explicit solution of multi-parametric optimisation problems (MPOP) has been used to construct an off-line solution to relatively small- and medium-sized constrained control problems. The control design principles are based on receding horizon optimisation and generally use linear prediction models for the system dynamics. In this context, it can be shown that the optimal control law is a piecewise linear (PWL) state feedback defined over polytopic cells of the state space. However, as the complexity of the related optimisation problems increases, the memory footprint and implementation of such explicit optimal solution may be burdensome for the available hardware, principally due to the high number of polytopic cells in the state-space partition. In this article we provide a solution to this problem by proposing a patchy PWL feedback control law, which intend to approximate the optimal control law. The construction is based on the linear interpolation of the exact solution at the vertices of a feasible set and the solution of an unconstrained linear quadratic regulator (LQR) problem. With a hybrid patchy control implementation, we show that closed-loop stability is preserved in the presence of additive measurement noise despite the existence of discontinuities at the switch between the overlapping regions in the state-space partition.

Published
2012
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15. Improved vertex control for time-varying and uncertain linear discrete-time systems with control and state constraints

Author

Sorin Olaru, Hoai-Nam Nguyen, Frederic Colledani, P.-O. Gutman, Morten Hovd, Supélec Sciences des Systèmes (E3S), Ecole Supérieure d'Electricité - SUPELEC (FRANCE), and Dartron, Josiane

Subjects
0209 industrial biotechnology, Mathematical optimization, 020208 electrical & electronic engineering, Linear system, Uncertain systems, 02 engineering and technology, [SPI.AUTO]Engineering Sciences [physics]/Automatic, 020901 industrial engineering & automation, [SPI.AUTO] Engineering Sciences [physics]/Automatic, Discrete time and continuous time, Exponential stability, Control theory, Stability theory, 0202 electrical engineering, electronic engineering, information engineering, Piecewise affine, Mathematics
Abstract

This paper addresses the problem of regulating a discrete-time linear uncertain and time-varying system to the origin. It is shown that, based on an interpolation technique, by minimizing an appropriate objective function, how feasibility and a robustly and asymptotically stable closed-loop behavior can be achieved. It is shown that the control is a piecewise affine and continuous function of the state. Several simulations demonstrate the performance of our results.

Published
2011

16. Explicit constraint control based on interpolation techniques for time-varying and uncertain linear discrete-time systems

Author

Sorin Olaru, Morten Hovd, Per-Olof Gutman, Hoai-Nam Nguyen, Dartron, Josiane, Supélec Sciences des Systèmes (E3S), and Ecole Supérieure d'Electricité - SUPELEC (FRANCE)

Subjects
050210 logistics & transportation, 0209 industrial biotechnology, Mathematical optimization, Continuous function, 05 social sciences, Trilinear interpolation, Bilinear interpolation, 02 engineering and technology, Linear interpolation, [SPI.AUTO]Engineering Sciences [physics]/Automatic, Model predictive control, 020901 industrial engineering & automation, [SPI.AUTO] Engineering Sciences [physics]/Automatic, Discrete time and continuous time, Control theory, 0502 economics and business, Spline interpolation, ComputingMilieux_MISCELLANEOUS, Mathematics, Interpolation
Abstract

In this paper we consider the problem of regulating a time-varying and uncertain linear discrete-time system to the origin. It is shown how, by applying an interpolation technique and minimizing an appropriate objective function, one can achieve feasibility and a robustly and asymptotically stable closed-loop behavior. Moreover, we show that the control is a piecewise affine and continuous function of state. A simulation result demonstrates the performance of our approach.

Published
2011

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