Switching controller for stabilization of linear systems with switched time-varying delays

Wenjuan Jiang 1 Emilia Fridman 2 Alexandre Kruszewski 1 Jean-Pierre Richard 3, 4
3 ALIEN - Algebra for Digital Identification and Estimation
Inria Lille - Nord Europe, Inria Saclay - Ile de France, Ecole Centrale de Lille, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR8146
4 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : This paper considers interval time-varying delay systems with delayed estimation of the delay. This case is often encountered in the Networked Control Systems (NCS) field. Based on Lyapunov-Krasovskii functional methods and linear matrix inequality (LMI) techniques, a switching state feedback controller is designed to guarantee the exponential stability. The controller switches according to the measured time-delay which is itself delayed. The global stability of the switching closed loop is guaranteed if some dwell time conditions are satisfied.
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https://hal.inria.fr/inria-00419360
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Submitted on : Wednesday, December 23, 2009 - 7:00:05 AM
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Wenjuan Jiang, Emilia Fridman, Alexandre Kruszewski, Jean-Pierre Richard. Switching controller for stabilization of linear systems with switched time-varying delays. CDC'09, 48th IEEE Conf. on Decision and Control, Dec 2009, Shanghai, China. ⟨inria-00419360⟩

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