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Stability, l2-gain and Asynchronous H-infinity control of discrete-time switched systems with average dwell time

Zhang, Lixian and Shi, Peng (2009) Stability, l2-gain and Asynchronous H-infinity control of discrete-time switched systems with average dwell time. IEEE Transactions on Automatic Control, 54 (9). pp. 2193-2200. ISSN 0018-9286

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Abstract

This paper first investigates the stability and l 2-gain problems for a class of discrete-time switched systems with average dwell time (ADT) switching by allowing the Lyapunov-like functions to increase during the running time of subsystems. The obtained results then facilitate the studies on the issue of asynchronous control, where "asynchronous" means the switching of the controllers has a lag to the switching of system modes. In light of the proposed Lyapunov-like functions, the desired mode-dependent controllers can be designed since the unmatched controllers are allowed to perform in the interval of asynchronous switching before the matched ones are applied. The problem of asynchronous H infin control for the underlying systems in linear cases is then formulated. The conditions of the existence of admissible asynchronous H infin controllers are derived, and a numerical example is provided to show the potential of the developed results.

Item Type: Article
Uncontrolled Keywords: ResPubID17502, H-infinity control , Lyapunov methods, discrete time systems, stability, time-varying systems
Subjects: SEO Classification > 970109 Expanding Knowledge in Engineering
Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
FOR Classification > 0199 Other Mathematical Sciences Information Systems
Depositing User: VUIR
Date Deposited: 10 Jun 2011 05:40
Last Modified: 01 May 2012 02:24
URI: http://vuir.vu.edu.au/id/eprint/4736
DOI: 10.1109/TAC.2009.2026841
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Citations in Scopus: 54 - View on Scopus

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