Robust fault estimation for uncertain switched linear systems withtime-varying delay
来源期刊：中南大学学报(英文版)2015年第11期
论文作者：ZHONG Yan-ke CHEN Te-fang CHEN Chun-yang
文章页码：4254 - 4262
Key words：fault estimation; switched linear system; time-varying delay; model uncertainty; average dwell-time
Abstract: The problem of fault estimation is investigated for a class of uncertain switched systems with time-varying delay. A robust observer-based fault estimator is designed such that the augment error system is exponentially stable and the H∞ performance index meets the predefined requirements. Based on the multiple Lyapunov-Krasovskii functions and the average dwell-time method, the delay dependent sufficient conditions on the existence of desired fault estimator are established. However, since these conditions are not linear matrix inequalities (LMIS), they can not be solved by MATLAB. By using a novel method, these conditions are presented in terms of LMIS. Finally, a numerical example is carried out. The designed fault estimator could tract the fault signal timely. Besides, the error between estimation and fault is very small. Therefore, the validity of the obtained results is illustrated.
ZHONG Yan-ke(钟燕科)1, 2, CHEN Te-fang(陈特放)1, CHEN Chun-yang(陈春阳)1
(1. School of Information Science and Engineering, Central South University, Changsha 410075, China;
2. School of Electrical and Electronic Engineering, East China Jiaotong University, Nanchang 310013, China)
Abstract:The problem of fault estimation is investigated for a class of uncertain switched systems with time-varying delay. A robust observer-based fault estimator is designed such that the augment error system is exponentially stable and the H∞ performance index meets the predefined requirements. Based on the multiple Lyapunov-Krasovskii functions and the average dwell-time method, the delay dependent sufficient conditions on the existence of desired fault estimator are established. However, since these conditions are not linear matrix inequalities (LMIS), they can not be solved by MATLAB. By using a novel method, these conditions are presented in terms of LMIS. Finally, a numerical example is carried out. The designed fault estimator could tract the fault signal timely. Besides, the error between estimation and fault is very small. Therefore, the validity of the obtained results is illustrated.
Key words:fault estimation; switched linear system; time-varying delay; model uncertainty; average dwell-time
