Delay-Dependent Robust H_(infinity) Control for Time-Delay Systems with Polytopic Uncertainty

摘要

In this paper, the delay-dependent H_(infinity) performance criterion which possesses decoupling structure is derived for systems with time-varying delay. It can reduce conservatism inherent in the classical quadratic method by providing a parameter-dependent Lyapunov function. Then the robust H_(infinity) controller is designed for time-delay systems with polytopic uncertainty. All the conditions are given in terms of the linear matrix inequalities (LMIs). A numerical example illustrates the effectiveness of our solutions as compared to results obtained by other methods.