Omega-limit sets and robust stability for switched systems with distinct equilibria⁎Research supported in part by AFOSR grant FA9550-18-1-0246 and NSF grant ECCS-1508757. Issue 2 (2020)

• Record Type: Journal Article
• Authors: Baradaran, Matina; Teel, Andrew R.
• Is Part Of: IFAC-PapersOnLine. Volume 53:Issue 2(2020)
• Page Start: 2039
• Page End: 2044
• Publication Date: 2020
• Subjects: Switched systems -- Stability -- Hybrid systems -- Practical asymptotic stability; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2020.12.2515
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: This work characterizes the asymptotic behavior that results from switching among asymptotically stable systems with distinct equilibria when the switching frequency satisfies an average dwell-time constraint with a small average rate. The asymptotic characterization is in terms of the Ω-limit set of an associated ideal hybrid system containing an average dwell-time automaton with the rate parameter set equal to zero. This set is globally asymptotically stable for the ideal system. The actual switched system, including small disturbances, constitutes a small perturbation of this ideal system, resulting in semi-global, practical asymptotic stability.