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LiminWANG,ChengSHAO
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(Institute of Advanced Control Technology, Dalian University of Technology; College of Sciences, Liaoning Shihua University)
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Received:December 09, 2008Revised:February 08, 2010
基金项目:This work was supported by the National Basic Research Program of China (No. 2007CB714006), and the National Natural Science Foundation (No. 61074020).
Robust stability analysis of switched uncertain systems with multiple time-varying delays and actuator failures
Limin WANG,Cheng SHAO
(Institute of Advanced Control Technology, Dalian University of Technology; College of Sciences, Liaoning Shihua University)
Abstract:
In this paper, the robust stability issue of switched uncertain multidelay systems resulting from actuator failures is considered. Based on the average dwell time approach, a set of suitable switching signals is designed by using the total activation time ratio between the stable subsystem and the unstable one. It is first proven that the resulting closed-loop system is robustly exponentially stable for some allowable upper bound of delays if the nominal system with zero delay is exponentially stable under these switching laws. Particularly, the maximal upper bound of delays can be obtained from the linear matrix inequalities. At last, the effectiveness of the proposed method is demonstrated by a simulation example.
Key words:  Robustly exponential stability  Actuator failures  Average dwell time  Switched systems  Linear matrix inequalities  Multiple time-varying delays