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13 results on '"Inria Lille - Nord Europe"'

1. Homogeneity Based Uniform Stability Analysis for Time-Varying Systems

Author

Wilfrid Perruquetti, Leonid Fridman, Denis Efimov, Hector Rios, Jaime A. Moreno, Non-Asymptotic estimation for online systems (NON-A), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS), Departamento de Ingenieria de Control y Robotica, Universidad Nacional Autónoma de México = National Autonomous University of Mexico (UNAM)-Universidad Nacional Autónoma de México = National Autonomous University of Mexico (UNAM), Universidad Nacional Autónoma de México = National Autonomous University of Mexico (UNAM), The authors gratefully acknowledge the financial support from CONACyT (209731) - CNRS (222629) Bilateral Cooperation Project Mexico-France, and Fondo de Colaboración de Facultad de Ingeniería e Instituto de Ingeniería de la UNAM IGSBAS-122-2014. This work was also supported in part by the Government of Russian Federation (Grant 074-U01) and the Ministry of Education and Science of Russian Federation (Project 14.Z50.31.0031)., Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Universidad Nacional Autónoma de México (UNAM)-Universidad Nacional Autónoma de México (UNAM), and Universidad Nacional Autónoma de México (UNAM)

Subjects
0209 industrial biotechnology, Adaptive control, 02 engineering and technology, Time-varying systems, 01 natural sciences, [SPI.AUTO]Engineering Sciences [physics]/Automatic, 020901 industrial engineering & automation, Exponential stability, Control theory, Applied mathematics, Circle criterion, 0101 mathematics, Electrical and Electronic Engineering, Mathematics, Homogeneity (statistics), 010102 general mathematics, Linear system, 16. Peace & justice, Computer Science Applications, Nonlinear system, Control and Systems Engineering, Homogeneous, [INFO.INFO-IR]Computer Science [cs]/Information Retrieval [cs.IR], Stability of nonlinear systems, Numerical stability
Abstract

International audience; The uniform stability notion for a class of nonlinear time-varying systems is studied using the homogeneity framework. It is assumed that the system is weighted homogeneous considering the time variable as a constant parameter, then several conditions of uniform stability for such a class of systems are formulated. The results are applied to the problem of adaptive estimation for a linear system.

Published
2016

2. Hyperexponential and Fixed-Time Stability of Time-Delay Systems: Lyapunov–Razumikhin Method

Author

Artem N. Nekhoroshikh, Denis Efimov, Andrey Polyakov, Wilfrid Perruquetti, Igor B. Furtat, National Research University of Information Technologies, Mechanics and Optics [St. Petersburg] (ITMO), Finite-time control and estimation for distributed systems (VALSE), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS), Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS), Institute of Mechanical Engineering Problems [St. Petersburg] (IPME), Russian Academy of Sciences [Moscow] (RAS), and The results of Section IV are supported by the Russian Science Foundation under grant no. 18-79-10104 (https://rscf.ru/en/project/18-79-10104/) at IPME RAS. The results of Section V are supported by the Russian Science Foundation under grant no. 21-71-10032 at ITMO University.

Subjects
implicit theorem, Lyapunov-Razumikhin theorem, Control and Systems Engineering, Fixed-time and hyperexponential stability, ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION, Electrical and Electronic Engineering, linear matrix inequalities, time-delay systems, [SPI.AUTO]Engineering Sciences [physics]/Automatic, Computer Science Applications
Abstract

International audience; Razumikhin-like theorems on hyperexponential and fixed-time stability of time-delay systems are proposed for both explicitly and implicitly defined Lyapunov functions. While the former method is useful for stability analysis, the latter approach is more suitable for control synthesis. Examples of systems that can be stabilized hyperexponentially and in fixed time are given. The control parameters tuning algorithm is presented in the form of linear matrix inequalities. The numerical simulations illustrate the theoretical results.

Published
2023

3. Observation of Nonlinear Differential-Algebraic Systems With Unknown Inputs

Author

Wilfrid Perruquetti, Thierry Floquet, Francisco Javier Bejarano, Gang Zheng, Escuela Superior de Ingeniería Mecánica y Eléctrica - Unidad Profesional Ticomán (ESIME-UPT), Instituto Politecnico Nacional [Mexico] (IPN), Systèmes Non Linéaires et à Retards (SyNeR), Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS), Centrale Lille, Non-Asymptotic estimation for online systems (NON-A), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), F.J. Bejarano acknowledges INRIA Lille-Nord Europe, where he held a Post-doctoral position with Non-A team, and the support of Proyecto SIP 20141364 from IPN., Inria Lille - Nord Europe, and Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL)

Subjects
Differential equation, sliding mode high order differentiation, observer design, Computer Science Applications, Nonlinear system, Control and Systems Engineering, Control theory, Distributed parameter system, [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, State space, [INFO]Computer Science [cs], State observer, Observability, Electrical and Electronic Engineering, Differential algebraic geometry, Differential algebraic equation, Differential-Algebraic systems, Mathematics
Abstract

International audience; A method to carried out the state estimation is proposed for a class of nonlinear systems with unknown inputs whose dynamics is governed by differential-algebraic equations (DAE). We achieve, under suitable conditions, to replace the original DAE for a system with differential equations only by using a zeroing manifold algorithm inducing a state space dimension reduction. Observability conditions can be checked using the original system parameters. The state estimation is done using a sliding mode high order differentiator.

Published
2015

4. Energetically optimal finite-time stabilization of generalized homogeneous linear systems

Author

Andrey Polyakov, Denis Efimov, Xubin Ping, Finite-time control and estimation for distributed systems [VALSE], Xidian University, Finite-time control and estimation for distributed systems (VALSE), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), and Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)

Subjects
nonlinear control, stability of nonlinear systems, optimal control, Control and Systems Engineering, [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, Electrical and Electronic Engineering, Computer Science Applications
Abstract

International audience; The problem of finite-time stabilization of a linear plant with an optimization of both a settling time and an averaged/weighted control energy is studied using the concept of generalized homogeneity. It is shown that the optimal finite-time stabilizing control in this case can be designed by means of solving a simple linear algebraic equation. Robustness of the obtained control law is studied.

Published
2023

5. Observer Design for Nonlinear Systems Under Unknown Time-Varying Delays

Author

J-P. Barbot, J. De Leon, Malek Ghanes, Électronique et Commande des Systèmes Laboratoire (ECS-Lab), Ecole Nationale Supérieure de l'Electronique et de ses Applications, Instituto de Ingeniería [Mexico], Universidad Nacional Autónoma de México (UNAM), Non-Asymptotic estimation for online systems (NON-A), Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), CONACYT Estancias Sabaticas. SEP CASEP-CA-232 UANL., Universidad Nacional Autónoma de México = National Autonomous University of Mexico (UNAM), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), and Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)

Subjects
0209 industrial biotechnology, Observer (quantum physics), Open problem, 02 engineering and technology, Function (mathematics), Upper and lower bounds, Computer Science Applications, Nonlinear system, 020901 industrial engineering & automation, Control and Systems Engineering, Control theory, [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, Bounded function, Convergence (routing), 0202 electrical engineering, electronic engineering, information engineering, 020201 artificial intelligence & image processing, Electrical and Electronic Engineering, Constant (mathematics), Mathematics
Abstract

International audience; The design of observers for nonlinear systems with unknown, time-varying, bounded delays, on both state and input, still constitutes an open problem. In this paper, we show how to solve it for a class of nonlinear systems by combining the high gain observer approach with a Lyapunov-Krasovskii functional suitable choice. Sufficient conditions are provided to prove the practical stability of the observer. It is shown that the observation error is bounded and depends on the size of two parameters: the known upper bound delay of the unknown time-varying function delay and the instantaneous state dynamic variation. Furthermore, for the particular case of constant known time delay, the convergence of the proposed observer becomes exponential. The feasibility of the proposed strategy is illustrated by a numerical example.

Published
2013

6. Robust Output Feedback MPC for LPV Systems Using Interval Observers

Author

Alex dos Reis de Souza, Tarek Raïssi, Denis Efimov, Finite-time control and estimation for distributed systems (VALSE), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS), Centre d'études et de recherche en informatique et communications (CEDRIC), Ecole Nationale Supérieure d'Informatique pour l'Industrie et l'Entreprise (ENSIIE)-Conservatoire National des Arts et Métiers [CNAM] (CNAM), HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université (HESAM)-HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université (HESAM), and This work was partially supported by the IPL COSY, and by the Ministry of Science and Higher Education of Russian Federation, passport of goszadanie n° 2019-0898.

Subjects
0209 industrial biotechnology, output feedback, Observer (quantum physics), Computer science, Stability (learning theory), 02 engineering and technology, Interval (mathematics), Constraint satisfaction, [SPI.AUTO]Engineering Sciences [physics]/Automatic, Computer Science Applications, Model predictive control, 020901 industrial engineering & automation, Control and Systems Engineering, Control theory, Bounded function, Predictive control, Electrical and Electronic Engineering, Robust control, robust control
Abstract

International audience; This work addresses the problem of robust output feedback model predictive control for discrete-time, constrained, linear parameter-varying systems subject to (bounded) state and measurement disturbances. The vector of scheduling parameters is assumed to be an unmeasurable signal taking values in a given compact set. The proposed controller incorporates an interval observer, that uses the available measurement to update the setmembership estimation of the states, and an interval predictor, used in the prediction step of the MPC algorithm. The resulting MPC scheme offers guarantees on recursive feasibility, constraint satisfaction, and input-to-state stability in the terminal set. Furthermore, this novel algorithm shows low computation complexity and ease of implementation (similar to conventional MPC schemes).

Published
2022

7. A Robust Nonlinear Model Reference Adaptive Control for Disturbed Linear Systems: An LMI Approach

Author

Roberto Franco, Alejandra Ferreira de Loza, Denis Efimov, Hector Rios, Tecnológico Nacional de México (TecNM), Instituto Politecnico Nacional [Mexico] (IPN), Consejo Nacional de Ciencia y Tecnología [Mexico] (CONACYT), Finite-time control and estimation for distributed systems (VALSE), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS), National Research University of Information Technologies, Mechanics and Optics [St. Petersburg] (ITMO), Roberto Franco, Héctor Ríos and Alejandra Ferreira de Loza thank the financial support from CONACYT CVU 772057, Cátedras CONACYT CVU 270504 project 922, and Cátedras CONACYT CVU 166403 project 1537, respectively, and and from TecNM projects.

Subjects
0209 industrial biotechnology, Adaptive control, Computer science, Linear system, MathematicsofComputing_NUMERICALANALYSIS, 02 engineering and technology, Nonlinear control, Model Reference Adaptive Control, [SPI.AUTO]Engineering Sciences [physics]/Automatic, Computer Science Applications, Tracking error, Nonlinear system, 020901 industrial engineering & automation, Rate of convergence, Control and Systems Engineering, Control theory, Uncertain Linear Systems, Electrical and Electronic Engineering, Robust control, Robust Control, Nonlinear Control
Abstract

International audience; In this paper a robust nonlinear Model Reference Adaptive Control (MRAC) is proposed for disturbed linear systems, i.e., linear systems with parameter uncertainties, and external time-dependent perturbations or nonlinear unmodeled dynamics matched with the control input. The proposed nonlinear control law is composed of two nonlinear adaptive gains. Such adaptive gains allow the control to counteract the effects of some perturbations and nonlinear unmodeled dynamics ensuring asymptotic convergence of the tracking error to zero, and the boundedness of the adaptive gains. The nonlinear controller synthesis is given by a constructive method based on the solution of Linear Matrix Inequalities (LMIs). Besides, the simulation results show that, due to the nonlinearities, the rate of convergence of the proposed algorithm is faster than the provided by a classic MRAC.

Published
2022

8. A Switching Controller for a Class of MIMO Bilinear Systems With Time Delay

Author

Emilia Fridman, Tonametl Sanchez, Andrey Polyakov, Laurentiu Hetel, Universidad Nacional Autónoma de México (UNAM), Finite-time control and estimation for distributed systems (VALSE), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS), Department of Electrical Engineering, Tel Aviv University [Tel Aviv], Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS), Universidad Nacional Autónoma de México = National Autonomous University of Mexico (UNAM), Tel Aviv University (TAU), and ANR-18-CE40-0008,DIGITSLID,Différentiateurs et commandes homogènes par modes glissants multivalués en temps discret: l'approche implicite(2018)

Subjects
0209 industrial biotechnology, Computer science, switched control, MIMO, 02 engineering and technology, State (functional analysis), Stability (probability), Computer Science Applications, Nonlinear system, 020901 industrial engineering & automation, Control and Systems Engineering, Control theory, [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, bilinear systems, Trajectory, Electrical and Electronic Engineering, Constant (mathematics), Finite set, time-delay systems
Abstract

In this paper, we propose a state-dependent switching controller for multiple-input multiple-output (MIMO) bilinear systems with constant delays in both the state and the input. The control input is assumed to be restricted to take only a finite number of values. The stability analysis of the closed loop is based on a Lyapunov–Krasovskii functional, and the design is reduced to solve a system of linear matrix inequalities. The controller can be designed by considering (state) delay-dependent or delay-independent conditions.

Published
2020

9. Distributed observers with time-varying delays

Author

Jean-Pierre Richard, Wim Michiels, Denis Efimov, Haik Silm, Emilia Fridman, Rosane Ushirobira, Department of Computer Science - K.U.Leuven, Catholic University of Leuven - Katholieke Universiteit Leuven (KU Leuven), Finite-time control and estimation for distributed systems (VALSE), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS), Tel Aviv University (TAU), This work has been partially supported by the project UCoCoS, funded by the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie Grant Agreement N° 675080., European Project: 675080,H2020,H2020-MSCA-ITN-2015,UCoCoS(2016), and Tel Aviv University [Tel Aviv]

Subjects
Observer (quantum physics), Computer science, Network packet, Networked control systems, Telecommunications network, Distributed estimation problem, Time-varying delay, Synchronization, Computer Science Applications, [SPI.AUTO]Engineering Sciences [physics]/Automatic, Transmission (telecommunications), Exponential stability, Rate of convergence, Control and Systems Engineering, Control theory, Convergence (routing), ComputingMilieux_COMPUTERSANDSOCIETY, Electrical and Electronic Engineering, GeneralLiterature_REFERENCE(e.g.,dictionaries,encyclopedias,glossaries)
Abstract

International audience; The distributed estimation problem is solved for continuous-time observer nodes that obtain real-time measurements but communicate with their neighbors over a communication network. To this end, the digital communication between the observer nodes is modeled by the time-delay approach where variable sampling intervals, transmission delays and packet dropouts are taken into account. An LMI for the design of the observer gains is derived using Halanay’s inequality, the feasibility of which guarantees exponential stability with a selected convergence rate up to a maximum total delay. A comparison of the maximal delay on a numerical example shows the advantage of a distributed observer over a centralized one.

Published
2021
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10. Realization and Discretization of Asymptotically Stable Homogeneous Systems

Author

Wilfrid Perruquetti, Andrey Polyakov, Arie Levant, Denis Efimov, Non-Asymptotic estimation for online systems (NON-A-POST), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), School of Mathematical Sciences [Tel Aviv], Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University [Tel Aviv]-Tel Aviv University [Tel Aviv], Systèmes Non Linéaires et à Retards (SyNeR), Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS), This work was partially supported by ANR-15-CE23-0007 (Project Finite4SoS), the Government of Russian Federation (Grant 074-U01) andthe Ministry of Education and Science of Russian Federation (Project 14.Z50.31.0031)., ANR-15-CE23-0007,Finite4SoS,Commande et estimation en temps fini pour les Systèmes de Systèmes(2015), School of Mathematical Sciences [Tel Aviv] (TAU), Raymond and Beverly Sackler Faculty of Exact Sciences [Tel Aviv] (TAU), and Tel Aviv University (TAU)-Tel Aviv University (TAU)

Subjects
0209 industrial biotechnology, Discretization, Differential equation, 020208 electrical & electronic engineering, Mathematical analysis, Linear system, Explicit and implicit methods, 02 engineering and technology, Backward Euler method, [SPI.AUTO]Engineering Sciences [physics]/Automatic, Computer Science Applications, Euler method, symbols.namesake, 020901 industrial engineering & automation, Exponential stability, Control and Systems Engineering, Stability theory, 0202 electrical engineering, electronic engineering, information engineering, symbols, Electrical and Electronic Engineering, Mathematics
Abstract

International audience; Sufficient conditions for the existence and convergence to zero of numeric approximations to solutions of asymptotically stable homogeneous systems are obtained for the explicit and implicit Euler integration schemes. It is shown that the explicit Euler method has certain drawbacks for the global approximation of homogeneous systems with non-zero degrees, whereas the implicit Euler scheme ensures convergence of the approximating solutions to zero. Properties of absolute and relative errors of the respective discretizations are investigated.

Published
2017

11. Nonlinear Feedback Design for Fixed-Time Stabilization of Linear Control Systems

Author

Andrey Polyakov, Non-Asymptotic estimation for online systems (NON-A), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), and Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)

Subjects
0209 industrial biotechnology, Polynomial, Mathematical optimization, Variable structure control, Settling time, 02 engineering and technology, Nonlinear control, Sliding mode control, Stability (probability), Computer Science Applications, Nonlinear system, 020901 industrial engineering & automation, Control and Systems Engineering, Control theory, [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, Convergence (routing), 0202 electrical engineering, electronic engineering, information engineering, 020201 artificial intelligence & image processing, Electrical and Electronic Engineering, Mathematics
Abstract

International audience; Nonlinear control algorithms of two types are presented for uncertain linear plants. Controllers of the first type are stabilizing polynomial feedbacks that allow to adjust a guaranteed convergence time of system trajectories into selected neighborhood of the origin independently on initial conditions. The control design procedure uses block control principles and finite-time attractivity properties of polynomial feedbacks. Controllers of the second type are modifications of the second order sliding mode control algorithms. They provide global finite-time stability of the closed-loop system and allow to adjust a guaranteed settling time independently on initial conditions. Control algorithms are presented for both single-input and multi-input systems. Theoretical results are supported by numerical simulations.

Published
2012

12. Connectivity Preservation and Coverage Schemes for Wireless Sensor Networks

Author

Tahiry Razafindralambo, David Simplot-Ryl, System and Networking for Portable Objects Proved to be Safe (POPS), Laboratoire d'Informatique Fondamentale de Lille (LIFL), Université de Lille, Sciences et Technologies-Institut National de Recherche en Informatique et en Automatique (Inria)-Université de Lille, Sciences Humaines et Sociales-Centre National de la Recherche Scientifique (CNRS)-Université de Lille, Sciences et Technologies-Institut National de Recherche en Informatique et en Automatique (Inria)-Université de Lille, Sciences Humaines et Sociales-Centre National de la Recherche Scientifique (CNRS)-Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria), Université de Lille, Sciences et Technologies-Institut National de Recherche en Informatique et en Automatique (Inria)-Université de Lille, Sciences Humaines et Sociales-Centre National de la Recherche Scientifique (CNRS), ARC MISSION, and Institut National de Recherche en Informatique et en Automatique (Inria)-IRCICA

Subjects
0209 industrial biotechnology, Coverage, Computer science, Distributed computing, Deployment, 02 engineering and technology, [INFO.INFO-NI]Computer Science [cs]/Networking and Internet Architecture [cs.NI], 020901 industrial engineering & automation, Computer Science::Networking and Internet Architecture, 0202 electrical engineering, electronic engineering, information engineering, Wireless, Electrical and Electronic Engineering, Connectivity, business.industry, Node (networking), 020206 networking & telecommunications, Graph theory, Autonomous systems, Computer Science Applications, Key distribution in wireless sensor networks, Control and Systems Engineering, Mobile telephony, Wireless Sensor Networks, business, Wireless sensor network, Computer network
Abstract

International audience; In this paper, we consider the self-deployment of wireless sensor networks. We present a mechanism which allows to preserve network connectivity during the deployment of mobile wireless sensors. Our algorithm is localized and is based on a subset of neighbors for motion decision. Our algorithm maintains a connected topology regardless of the direction chosen by each sensor. To preserve connectivity, the distance covered by the mobile nodes is constrained by the connectivity of the node to its neighbors in a connected subgraph like the relative neighborhood graph (RNG). We show the connectivity preservation property of our algorithm through analysis and present some simulation results on different deployment schemes such as full coverage, point of interest coverage or barrier coverage.

Published
2011

13. On Observation of Time-Delay Systems With Unknown Inputs

Author

Driss Boutat, Gang Zheng, Thierry Floquet, J-P Richard, J-P. Barbot, Non-Asymptotic estimation for online systems (NON-A), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS), Électronique et Commande des Systèmes Laboratoire (ECS-Lab), Ecole Nationale Supérieure de l'Electronique et de ses Applications, Laboratoire Pluridisciplinaire de Recherche en Ingénierie des Systèmes, Mécanique et Energétique (PRISME), Université d'Orléans (UO)-Ecole Nationale Supérieure d'Ingénieurs de Bourges (ENSI Bourges), Systèmes Non Linéaires et à Retards (SyNeR), and Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL)

Subjects
Time-delay systems, 0209 industrial biotechnology, Observability, Canonical form, Technical note, 02 engineering and technology, 16. Peace & justice, Computer Science Applications, Causality, Causality (physics), Nonlinear system, 020901 industrial engineering & automation, Control and Systems Engineering, Control theory, [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, 0202 electrical engineering, electronic engineering, information engineering, 020201 artificial intelligence & image processing, Electrical and Electronic Engineering, Algebraic number, Algebra over a field, Mathematics
Abstract

International audience; Causal and non-causal observability are discussed in this paper for nonlinear time-delay systems with unknown inputs. Using the theory of non-commutative rings and the algebraic framework introduced by Xia et al, the nonlinear time-delay system is transformed into a suitable canonical form to solve the problem. A necessary and sufficient condition is given to guarantee the existence of a change of coordinates leading to such a form.

Published
2011

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