Nonlinear guaranteed cost control for a class of uncertain time-delay singular system

For a class of uncertain singular time-delay systems, the problem of designing a nonlinear guaranteed cost state controller is considered. Based on LMI approach and Lyapunov stability theory, a sufficient condition for the existence of nonlinear guaranteed cost controller is derived. When these LMIs are feasible, an explicit expression of guaranteed cost controller is obtained. Finally, the availability of the proposed method is showed by numerical example.