Systems with both constant and time-varying delays: a switched systems approach and application to observer-controller co-design - LAAS - Laboratoire d'Analyse et d'Architecture des Systèmes Access content directly
Conference Papers Year : 2022

Systems with both constant and time-varying delays: a switched systems approach and application to observer-controller co-design

Abstract

In this paper, we study the application of switched systems stability criteria to derive delay-dependent conditions for systems affected by both a constant and a time-varying delay. The main novelty of our approach lies on the use of path-complete Lyapunov techniques along with the proposition of a new modified functional to obtain convex analysis conditions while avoiding the need of computing a dwell time for each mode in a switched system representation, as usual in the switched approach for time-delay systems. Furthermore, we leverage the developed analysis to obtain LMIs for the closedloop stabilization of systems with time-varying sensor delays by means of an observer-based compensator. A numerical example illustrates the proposed methods.
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Dates and versions

hal-03774650 , version 1 (11-09-2022)

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Thiago Alves Lima, Matteo Della Rossa, Frédéric Gouaisbaut, Raphaël Jungers, Sophie Tarbouriech. Systems with both constant and time-varying delays: a switched systems approach and application to observer-controller co-design. 61st IEEE Conference on Decision and Control (CDC 2022), Dec 2022, Cancun, Mexico. ⟨10.1109/CDC51059.2022.9993298⟩. ⟨hal-03774650⟩
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