Stability, L2-gain and asynchronous H ∞  control for continuous-time switched systems

SummaryThis paper is concerned with the stability and L2‐gain problems for a class of continuous‐time linear switched systems with the existed asynchronous behaviors, where ‘asynchronous’ means that the switching of the controllers to be designed has a lag to the switching of the system modes. First...

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Published in:International journal of robust and nonlinear control 2015-03, Vol.25 (4), p.575-587
Main Authors: Zhang, Hongbin, Wang, Bo, Xie, Dehua, Xu, Shengyuan, Dang, Chuangyin
Format: Article
Language:English
Subjects:
asymptotic stability
asynchronous switching
average dwell time
H ∞  control
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container_title International journal of robust and nonlinear control
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creator Zhang, Hongbin
Wang, Bo
Xie, Dehua
Xu, Shengyuan
Dang, Chuangyin
description SummaryThis paper is concerned with the stability and L2‐gain problems for a class of continuous‐time linear switched systems with the existed asynchronous behaviors, where ‘asynchronous’ means that the switching of the controllers to be designed has a lag to the switching of the system modes. Firstly, a new sufficient condition on the asymptotic stability and weighted L2‐gain analysis is obtained by using multiple Lyapunov functions combined with the average dwell time technique. Moreover, a result that is formulated in form of linear matrix inequalities is derived for the problem of asynchronous H ∞  control. Based on the result, the mode‐dependent controllers can be designed. Finally, an illustrative numerical example is presented to show the effectiveness of the obtained results.Copyright © 2013 John Wiley & Sons, Ltd.
doi_str_mv 10.1002/rnc.3107
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subjects asymptotic stability
asynchronous switching
average dwell time
H ∞  control
title Stability, L2-gain and asynchronous H ∞  control for continuous-time switched systems
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