Robust H_∞ Control for Uncertain Singular Perturbed Systems With Time Delay

This paper studies the robust H_∞ control problem for a class of uncertain singularly perturbed systems with state delay.Based on linear matrix inequalities and Lyapunov method,a sufficient condition for asymptotic stability of the closed-loop systems is derived,in which the criterion presented is independent of the small parameter.Meanwhile,the controller is designed.In addition,the upper bound for the systems with the given H_∞ performance is obtained by solving a generalized eigenvalue problem(GEVP).Finally,two numerical examples are presented to illustrate the effectiveness of the proposed method.