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发布时间：2019-03-12

论文类型：期刊论文

发表时间：2018-05-22

发表刊物：IET CONTROL THEORY AND APPLICATIONS

收录刊物：SCIE

卷号：12

期号：8

页面范围：1141-1147

ISSN号：1751-8644

关键字：stability; discrete time systems; switching systems (control); Lyapunov methods; stability criteria; control system analysis; control system synthesis; H control; discrete-time switched systems; one-step ahead Lyapunov function; one-step ahead LF; design objectives; stability criterion; arbitrarily switched systems; disturbance attenuation capability; structural constraint; synthesis criteria; analysis criteria; nonmonotonic method

摘要：This study concerns the problems of stability and H-infinity control for a class of discrete-time switched systems by introducing a one-step ahead Lyapunov function (LF) approach. The one-step ahead LF is a function of future states. The design objectives are to reduce the conservatism of the stability criterion developed for arbitrarily switched systems and further get a better disturbance attenuation capability. The distinguishing feature is that the one-step ahead LF has no structural constraint, such as, diagonal structure, and the resulting analysis and synthesis criteria can cover the non-monotonic method considering two samples variation, i.e. V-k+2(2) - V-k(2) + V-k+1(1) - V-k(1) < 0 or Vk+2 - V-k < 0 as a special case. The obtained results can be easily extended to the multi-step ahead case. Numerical examples are included to demonstrate the effectiveness of the developed method.