Mixed H/sub 2//H/sub /spl infin// control of time-varying delay systems

Abstract

This paper describes the mixed H/sub 2//H/sub /spl infin// controller design method of linear systems with time-varying delays in both state and control input. More specifically, the proposed mixed H/sub 2//H/sub /spl infin// controller minimizes the H/sub 2/ norm of a closed loop system under satisfying a prescribed H/sub /spl infin// norm bound on some other closed loop system. The sufficient condition for the existence of controller, the mixed H/sub 2//H/sub /spl infin// controller design method, and the upper bound of performance measure are presented using LMI (linear matrix inequality) technique. Also, all solutions including controller gain and the upper bound of performance measure are obtained simultaneously.