Title of Paper:Stability and H-infinity control of discrete-time switched systems via one-step ahead Lyapunov function approach

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Date of Publication:2018-05-22

Journal:IET CONTROL THEORY AND APPLICATIONS

Included Journals:SCIE

Volume:12

Issue:8

Page Number:1141-1147

ISSN No.:1751-8644

Key Words: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

Abstract: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.