A Method of hybrid state-feedback guaranteed cost control and optimization design for uncertain linear time-delay system

This paper focuses on the hybrid statefeedback guaranteed cost control and optimization design problem for a class of uncertain linear time-delay systems.Suppose that there exist finite candidate controllers with known controller gain matrices and none of the controllers can make the system satisfy guaranteed cost control,based on single-Lyapunov function method we obtained the sufficient conditions and optimization scheme for the hybrid state-feedback guaranteed cost control.When the controller gain matrices are unknown,by means of multiple function technique,a sufficient condition and optimization scheme are also presented for hybrid state-feedback guaranteed cost control.The simulation demonstrates the effectiveness of the method proposed in this paper.