Systems with both constant and time-varying delays: a switched systems approach and application to observer-controller co-design
(2022) 61st IEEE Conference on Decision and Control — Location: Cancún, Mexico (6.December.2022)
Files
CDC_2022_A_switched_systems_approach_for_time_delay_systems.pdf
Open Access - Adobe PDF
- 408.07 KB
Details
- Authors
- 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.
- Affiliations
Citations
Alves Lima, T., Della Rossa, M., Gouaisbaut, F., Jungers, R., & Tarbouriech, S. (2022). 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, Cancún, Mexico. https://hdl.handle.net/2078.5/252341