Fault-tolerant synchronization for nonlinear switching systems with time-varying delay

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• 作者：Xinzhi Liu ; ^{xzliu@uwaterloo.ca} ; Cong Wu ^{c76wu@uwaterloo.ca}
• 关键词：Fault-tolerant synchronization ; Switching system ; Time-varying delay ; Impulsive feedback control ; Fault model ; Fault estimator
• 刊名：Nonlinear Analysis: Hybrid Systems
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：23
• 期：Complete
• 页码：91-110
• 全文大小：1686 K
• 卷排序：23

文摘

This paper studies fault-tolerant synchronization for nonlinear switching systems with time-varying delay using impulsive feedback control. Both faults and disturbances in the drive system are taken into account. In order to deal with these faults, we adopt an input–output fault model by which faults are regarded as outputs corresponding to inputs that approach zero as time goes to infinity. Based on this principle, by using an observer-based fault estimator with output feedback controllers and impulsive state feedback controllers, we design a fault-tolerant synchronization scheme, by which the synchronization can be eventually reached no matter whether there are faults, disturbances in the drive system or not. The problem of design is formulated so as to find control gain matrices in the controllers such that the trivial solution of the error system is globally attractive and the L2L2 norm of the error between fault and its estimation is bounded by that of the vector consisting of the fault input and disturbance. Several criteria for this problem are derived in terms of linear matrix inequalities. Finally, a hybrid Chua’s circuit is used to illustrate the effectiveness of the proposed method.