H_∞Control for Discrete-Time Uncertain Singular Systems with Interval Time-Varying State and Input Delays

【摘要】：正This study focuses on the H_∞control problem of a class of discrete-time uncertain singular systems with interval time-varying state and input delays.A sufficient condition,in the form of linear matrix inequality(LMI) with nonlinear constraints, for the existence of H_∞state feedback controller is given by combining Lyapunov approach and LMI technique.In order to solve the nonlinear problem,a cone complementarity linearization algorithm is offered.As a medium step,a new bounded real lemma for discrete-time singular systems with a pair of interval time-varying state delays is obtained.Two numerical examples are provided to show the applicability of the proposed approach.