随机时滞系统的记忆状态反馈非脆弱H_∞控制

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

基于Lyapunov泛函方法,结合线性矩阵不等式(LMI),研究了一类随机时滞系统的非脆弱镇定和H∞控制问题.时滞不仅存在于系统的状态,而且存在于系统的控制输入.在2种不同的控制器增益扰动下,通过求解LMI,设计了随机时滞系统的记忆状态反馈非脆弱H∞控制器.最后,通过数值仿真说明了方法的有效性和结论的正确性.

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.