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...

Full description

Saved in:
Bibliographic Details
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
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1049-8923
1099-1239
DOI:10.1002/rnc.3107