Robust stability of linear sampled-data control systems with time-varying delay

Abstract

This paper is concerned with robust stability of linear sampled-data control systems with time-varying delay. Through using an input-delay approach, the system is transformed into a continuous time-delay system within a sampling period. A delay-dependent robust stability criteria is presented and sufficient conditions for the existence of state-feedback controller are obtained in the form of linear matrix inequalities (LMIs). Finally, the numerical example is given to illustrated the effectiveness of the proposed method.