Robust stability analysis of switched uncertain systems with multiple time-varying delays and actuator failures  

作　　者：Wang, Limin  Shao, Cheng 

机构地区：[1] Institute of Advanced Control Technology, Dalian University of Technology, Dalian Liaoning 116024, China [2] College of Sciences, Liaoning Shihua University, Fushun Liaoning 113001, China

出　　处：《控制理论与应用（英文版）》2011年第2期267-272,共6页

基　　金：supported by the National Basic Research Program of China (No. 2007CB714006);the National Natural Science Foundation(No. 61074020)

摘　　要：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.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.

关 键 词：Robustly exponential stability Actuator failures Average dwell time Switched systems Linear matrix inequalities Multiple time-varying delays 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]