Delay-dependent robust H/sub /spl infin// control for uncertain systems with time-varying state-delay

Abstract

The paper concerns a problem of robust H/sub /spl infin// control for uncertain systems with time-varying state-delay. A delay-dependent robust H/sub /spl infin// controller is presented in terms of matrix inequalities. An algorithm involving convex optimization is proposed to find a suboptimal maximal delay such that the closed-loop system with the designed controller is asymptotically stable and guarantees the H/sub /spl infin// norm bound for all admissible uncertainties.