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Type: Journal article
Title: Stability, l₂-gain and asynchronous H∞ control of discrete-time switched systems with average dwell time
Other Titles: Stability, l(2)-gain and asynchronous H-infinity control of discrete-time switched systems with average dwell time
Author: Zhang, L.
Shi, P.
Citation: IEEE Transactions on Automatic Control, 2009; 54(9):2192-2199
Publisher: IEEE
Issue Date: 2009
ISSN: 0018-9286
Statement of
Lixian Zhang and Peng Shi
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.
Keywords: Asynchronous switching
average dwell time
H-infinity control
switched systems
Rights: © 2009 IEEE
DOI: 10.1109/TAC.2009.2026841
Appears in Collections:Aurora harvest 7
Electrical and Electronic Engineering publications

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