Memory State Feedback Non-fragile H∞ Control for a Class of Stochastic Delay System

Abstract:

Based on Lyapunov function method together with linear matrix inequality (LMI),the non-fragile stabilization and H∞ control problems for a class of stochastic delay system are investigated.The time-delay exists not only in the system state but also in the system control input.Under the two kind of controller gain disturbance,the memory state feedback non-fragile H∞ controller of stochastic delay system is designed by solving LMI.Finally,a numerical simulation is given to show the effectiveness of the proposed approach and the validity of the results.

Key words:stochastic systems; time delay; memory state feedback; non-fragile H∞ control