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论文类型：期刊论文

发表时间：2015-07-16

发表刊物：IET CONTROL THEORY AND APPLICATIONS

收录刊物：SCIE

卷号：9

期号：11

页面范围：1717-1722

ISSN号：1751-8644

摘要：This study investigates the input-to-state stability issue and the Lyapunov-Krasovskii functional construction for a class of switched non-linear systems with time-varying input delay under mode-dependent average dwell-time scheme. The authors assume that an exponential stabilising state feedback controller has been predesigned for the nominal system and the Lyapunov function for the nominal closed-loop system is available. When input delay and disturbance are involved, the closed-loop system may be unstable under the average dwell time for the nominal system. In allusion to this instance, by introducing a positive definite relaxation matrix and constructing a novel piecewise Lyapunov-Krasovskii functional based on the known Lyapunov function, they provide sufficient conditions and the upper bound of the input delay such that the closed-loop system is input-to-state stable with respect to the disturbance. Finally, numerical examples are given to illustrate the effective of the proposed method.