基于均方指数稳定的一类随机不确定系统的可靠控制

Reliable Control of Uncertain Stochastic Systems Based on the Mean Square Exponential Stability

本文在均方指数稳定意义下,研究了一类带连续故障模型的范数有界不确定随机系统的可靠控制问题。借助于Lyapunov稳定性定理和线性矩阵不等式方法,获得了可靠控制器存在的充分条件,以及可靠控制器的设计表达式。同时,借助于数值例子验证了结果的有效性。

Based on the mean square exponential stability,the reliable control problem for uncertain stochastic systems is studied.The parameter uncertainties are time-varying and unknown but are norm-bounded,and the fault model is a more general continuous one.By the Lyapunov stability theory and the linear matrix inequality（LMI） approach,the sufficient condition for existence of desired reliable controller is obtained,meanwhile the state feedback reliable controller is designed.Finally,the applicability and effectiveness of our method is illustrated through a numerical example.