DocumentCode :
1407962
Title :
Asynchronous Filtering of Discrete-Time Switched Linear Systems With Average Dwell Time
Author :
Zhang, Lixian ; Cui, Naigang ; Liu, Ming ; Zhao, Ye
Author_Institution :
Sch. of Astronaut., Harbin Inst. of Technol., Harbin, China
Volume :
58
Issue :
5
fYear :
2011
fDate :
5/1/2011 12:00:00 AM
Firstpage :
1109
Lastpage :
1118
Abstract :
Switched dynamical systems can be found in many practical electronic circuits, such as various kinds of power converters, chaos generators, etc. This paper is concerned with the filter design problem for a class of switched system with average dwell time switching. Mode-dependent full-order filters are designed taking a more practical phenomenon, the asynchronous switching into account, where “asynchronous” means that the switching of the filters to be designed has a lag to the switching of the system modes. New results on the stability and l2-gain analyses for the systems are first given where the Lyapunov-like functions during the running time of subsystems are allowed to increase. In light of the proposed Lyapunov-like functions, the desired mode-dependent filters can be designed in that the unmatched filters are allowed to perform in the interval of the asynchronous switching before the matched ones are applied. In H sense, the problem of asynchronous filtering for the underlying systems in linear cases is formulated and the conditions of the existence of admissible asynchronous filters are obtained. Two examples are provided to show the potential of the developed results.
Keywords :
Lyapunov matrix equations; discrete time filters; switched filters; Lyapunov-like functions; asynchronous filtering; asynchronous switching; average dwell time; discrete-time switched linear systems; Circuit stability; Filtering; Linear systems; Stability analysis; Switched systems; Switches; $H_{infty}$ filtering; Asynchronous switching; average dwell time; switched systems;
fLanguage :
English
Journal_Title :
Circuits and Systems I: Regular Papers, IEEE Transactions on
Publisher :
ieee
ISSN :
1549-8328
Type :
jour
DOI :
10.1109/TCSI.2010.2092151
Filename :
5672394
Link To Document :
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