Delay-dependent robust H∞ control for time-delay systems with polytopic uncertainty

In this paper, the delay-dependent H_∞ 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_∞ 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.