Robust H-infinity controller design for time-delayed systems with uncertainty

This paper concerns a problem of robust H. control for uncertain systems with time-varying delay, and the time-delay is time-varying and unknown but is norm-bounded. A new delay-dependent robust H. controller is presented in terms of matrix inequalities (LMI). In this paper, the H. control law is assumed to be a memoryless state feedback and is on the size of time-derivative. The close-loop system with the designed controller is asymptotically stable and guarantees the H. norm-bound for all the admissible uncertainties.