Dissipativity-based Framework for Stability ...
Document type :
Compte-rendu et recension critique d'ouvrage
Title :
Dissipativity-based Framework for Stability Analysis of Aperiodically Sampled Nonlinear Systems with Time-varying Delay
Author(s) :
Thomas, Jijju [Auteur correspondant]
Eindhoven University of Technology [Eindhoven] [TU/e]
Finite-time control and estimation for distributed systems [VALSE]
Fiter, Christophe [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Hetel, Laurentiu [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
van de Wouw, Nathan [Auteur]
Eindhoven University of Technology [Eindhoven] [TU/e]
Department of Civil, Environmental and Geo-Engineering [Minneapolis]
Richard, Jean-Pierre [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Eindhoven University of Technology [Eindhoven] [TU/e]
Finite-time control and estimation for distributed systems [VALSE]
Fiter, Christophe [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Hetel, Laurentiu [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
van de Wouw, Nathan [Auteur]
Eindhoven University of Technology [Eindhoven] [TU/e]
Department of Civil, Environmental and Geo-Engineering [Minneapolis]
Richard, Jean-Pierre [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Journal title :
Automatica
Publisher :
Elsevier
Publication date :
2021
ISSN :
0005-1098
English keyword(s) :
Nonlinear sampled-data systems
Dissipativity
Time-varying delay
Stability analysis
Dissipativity
Time-varying delay
Stability analysis
HAL domain(s) :
Informatique [cs]/Systèmes et contrôle [cs.SY]
English abstract : [en]
In this paper, we provide novel conditions for stability analysis of aperiodically sampled nonlinear control systems subjected to time-varying delay. The proposed approach can also deal with cases in which delay is larger ...
Show more >In this paper, we provide novel conditions for stability analysis of aperiodically sampled nonlinear control systems subjected to time-varying delay. The proposed approach can also deal with cases in which delay is larger than the sampling interval. It is applicable to a general class of nonlinear systems and provides sufficient criteria for stability that aid in making trade-offs between control performance and the bounds on sampling interval and delay. As a stepping stone, a preliminary and generic result based on dissipativity, is introduced to analyse the exponential stability of a class of feedback-interconnected systems. The nonlinear sampled-data system is remodelled to consider the effects of sampling and delay in the dissipativity framework, as perturbations to the nominal closed-loop system. This leads to constructive stability conditions for a continuous time closed-loop system given by the feedback interconnection of the nominal closed-loop system and an operator(s) that captures the effects of sampling and delay. For Linear Time-Invariant (LTI) systems, we recover simple Linear Matrix Inequality (LMI) and frequency domain conditions previously proposed in the robust control framework.Show less >
Show more >In this paper, we provide novel conditions for stability analysis of aperiodically sampled nonlinear control systems subjected to time-varying delay. The proposed approach can also deal with cases in which delay is larger than the sampling interval. It is applicable to a general class of nonlinear systems and provides sufficient criteria for stability that aid in making trade-offs between control performance and the bounds on sampling interval and delay. As a stepping stone, a preliminary and generic result based on dissipativity, is introduced to analyse the exponential stability of a class of feedback-interconnected systems. The nonlinear sampled-data system is remodelled to consider the effects of sampling and delay in the dissipativity framework, as perturbations to the nominal closed-loop system. This leads to constructive stability conditions for a continuous time closed-loop system given by the feedback interconnection of the nominal closed-loop system and an operator(s) that captures the effects of sampling and delay. For Linear Time-Invariant (LTI) systems, we recover simple Linear Matrix Inequality (LMI) and frequency domain conditions previously proposed in the robust control framework.Show less >
Language :
Anglais
Popular science :
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