具有输出时滞的随机系统的非脆弱保成本控制

Non-fragile Guaranteed Cost Control for a Class of Stochastic System with Output Delay

以一类状态和控制输出多时滞的不确定随机系统为研究对象,综合考虑非脆弱和保成本两种控制方法的优点,研究系统的非脆弱保成本控制和非脆弱H∞保成本控制问题.运用LyapunovKrasovskii泛函方法,设计了有记忆时滞的状态反馈控制器,以线性矩阵不等式(LMI)形式给出控制器存在的充分条件,并给出有记忆控制器的设计方法;最后通过数值算例验证了结论的有效性.

This paper takes a kind of non-fragile H∞guaranteed cost control for stochastic systems with state and output delay as the object,focuses on the design of a linear state feedback controller which ensures the closed-loop system to be mean-square asymptotically stable.A sufficient condition of this problem is given by a linear matrix inequality（LMI）.Finally,a numerical example is provided to show the effectiveness of the proposed method.