Robust Stabilization Of Singular Uncertain Time-delay System With Guaranteed Cost Control

This note mainly considers the problems of robust stability and robust guaranteed cost control for uncertain continuous singular systems with state delay. At first, the sliding-mode control problem for uncertain singular system with state delay ,which satisfied matched condition ,is discussed . With making a system equivalent decomposition, designing a switching function and according to arrival condition to find control law, the system is stabilized by sliding-mode control. At last, the guaranteed cost control for uncertain continuous singular systems with state delay is considered .with amending the robust stability certain for uncertain singular systems with state delay in relative articles and combining linear matrix inequality and theory of optimizing control ,1 design a feedback control law and give a estimation of super limitation for the guaranteed cost index on the base of stability for the closed-loop system.