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

Autor:	Lima, Thiago Alves, Della Rossa, Matteo, Gouaisbaut, Frédéric, Jungers, Raphaël, Tarbouriech, Sophie
Rok vydání:	2022
Předmět:	Mathematics - Optimization and Control Electrical Engineering and Systems Science - Systems and Control
Druh dokumentu:	Working Paper
Popis:	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 \textit{switched approach} for time-delay systems. Furthermore, we leverage the developed analysis to obtain LMIs for the closed-loop stabilization of systems with time-varying sensor delays by means of an observer-based compensator. A numerical example illustrates the proposed methods. Comment: Accepted for presentation at the 61st Conference on Decision and Control (CDC) 2022, Cancun, Mexico
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2209.04869 Zobrazit plný text záznamu View this record from Arxiv