Delay-dependent H∞ control for Lurie type singular time-delay systems

Abstract

In this paper, the design of delay-dependent H∞ controller for a class of singular Lurie systems with state-delay is studied. Delay-dependent sufficient condition is obtained in terms of matrix inequalities to ensure the resultant closed-loop system regularity, free of impulses, global uniform asymptotically stable and a prescribed H∞ performance. Furthermore, an LMI based state feedback H∞ control law is developed to guarantee robust stability for the resulting closed-loop system. Numerical example demonstrates that the proposed method is effective.