257documents trouvés
Robust control analysis and synthesis for LPV systems under affine uncertainty structure
N.AOUANI, S.SALHI, G.GARCIA, M.KSOURI
MAC, ENIT
Manifestation avec acte : 6th International Multi-Conference Systems, Signals and Design, Djerba (Tunisie), 23-26 Mars 2009, 5p. , N° 09132
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116999Finite time stabilization of linear time-varying continuous systems
G.GARCIA, S.TARBOURIECH, J.BERNUSSOU
MAC
Revue Scientifique : IEEE Transactions on Automatic Control, Vol.54, N°2, pp.364-369, Février 2009 , N° 08721
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Abstract
In this technical note, the problem of finite time stabilization of linear time-varying continuous systems is considered. Necessary and sufficient conditions, based upon the solution to some Lyapunov differential matrix equations, are proposed for particular cases of interest. From these conditions, the design of time-varying state feedback controller guaranteeing the finite time closed-loop stability is presented. Numerical experiments illustrate the potentialities of the approach.
Analyse de stabilité pour un système soumis à des saturations et avec des dynamiques négligées
G.VALMORBIDA, S.TARBOURIECH, G.GARCIA
MAC
Revue Scientifique : Journal Européen des Systèmes Automatisés , Vol.43, N°1-2, pp.1-24, Janvier 2009 , N° 07631
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Mots-Clés / Keywords
Dynamiques négligées; Saturations en entrée et en sortie; Région de stabilité;
Necessary and sufficient numerical conditions for uniform asymptotic stability of time-varying systems
G.GARCIA, P.L.D.PERES, S.TARBOURIECH
MAC, Campinas
Manifestation avec acte : 47th IEEE Conference on Decision and Control (CDC 2008), Cancun (Mexique), 9-11 Décembre 2008, pp.5146-5151 , N° 08147
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Abstract
In this paper, necessary and sufficient numerical conditions for stability and for asymptotic stability of linear continuous time-varying systems are derived. For a given set of initial conditions, a tube containing all the trajectories of the system is constructed in the state space. At each instant of time, there exists an initial condition inside the set such that the resulting trajectory attains the border of the tube. Based on the above formulation, necessary and sufficient conditions for stability and for asymptotic stability are expressed through the solution of a linear differential Lyapunov equation. The conditions can deal with the stability of periodic systems as well. One of the main characteristics of the proposed necessary and sufficient conditions is that the only assumption on the dynamical matrix of the linear time-varying system is continuity. Examples from the literature illustrate the superiority of the proposed conditions when compared to other methods.
Stability and performance analysis for linear systems with actuator and sensor saturations subject to unmodeled dynamics
S.TARBOURIECH, G.VALMORBIDA, G.GARCIA, J.M.BIANNIC
MAC, ONERA
Manifestation avec acte : American Control Conference (ACC 2008), Seattle (USA), 11-13 Juin 2008, pp.401-406 , N° 07517
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Abstract
This paper considers linear systems subject to sensor and actuator saturations, for which a dynamic output feedback controller has been a priori designed. The effects of unmodeled dynamics appearing as additive uncertainties are studied with respect to the regional (local) stability of the closed-loop system. Constructive conditions based on matrix inequalities, or at least linear matrix inequalities (LMI) are proposed in order to minimize the influence of these unmodeled dynamics on both the estimate of the closed-loop system basin of attraction and on the performance.
H2 and Hinfinite robust control for continuous-time linear systems
G.GARCIA, S.SALHI
MAC, LACS-ENIT
Rapport LAAS N°08146, Mars 2008, 6p.
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113339Stability and performance analysis for input and output-constrained linear systems subject to multiplicative neglected flexible modes
G.VALMORBIDA, S.TARBOURIECH, G.GARCIA, J.M.BIANNIC
MAC, ONERA
Rapport LAAS N°08149, Mars 2008, 8p.
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113342New algorithms for the approximation of the maximal lyapunov exponent: an almost sure stabilization approach
Y.B.CHEIKH, J.EZZINE, G.GARCIA
ENIT, MAC
Rapport LAAS N°08140, Mars 2008, 6p.
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Mots-Clés / Keywords
Almost sure stability; Lyapunov exponent; Bilinear matrix inequality;
H2 and Hinfinite robust control for continuous-time uncertain linear systems
S.SALHI, G.GARCIA
LACS-ENIT, MAC
Rapport LAAS N°08019, Janvier 2008, 14p.
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112739Anti-windup and its use for PIO alleviation. Part on " Anti-windup for stability region maximisation"
I.QUEINNEC, S.TARBOURIECH, G.GARCIA
MAC
Rapport de Contrat : Contrat GARTEUR FM (AG15), Décembre 2007, 40p. , N° 07715
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