Skip to Main content Skip to Navigation
New interface
Conference papers

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.
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-03774650
Contributor : Thiago Alves Lima Connect in order to contact the contributor
Submitted on : Sunday, September 11, 2022 - 5:43:52 PM
Last modification on : Tuesday, October 25, 2022 - 11:58:11 AM

File

CDC_2022_Extended_version.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-03774650, version 1

Citation

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. ⟨hal-03774650⟩

Share

Metrics

Record views

22

Files downloads

5