一类时滞系统的鲁棒H_∞保代价控制

Robust H_∞ Guaranteed Cost Control for Time-delay Systems with Stochastic Perturbation

研究一类带随机扰动的时滞系统的鲁棒H∞保代价控制问题.基于线性矩阵不等式给出状态反馈鲁棒H∞保代价控制器存在的充分条件,并设计了满足H∞代价指标的鲁棒H∞保代价控制器,且给定的代价函数存在上界.最后,通过数值算例说明方法的有效性和可行性.

In this paper,the problem of robust H∞ guaranteed cost control for time-delay systems with stochastic perturbations was investigated.A sufficient condition for the existence of robust H∞ guaranteed cost controller was presented in terms of linear matrix inequality.Secondly,a robust H∞ guaranteed cost controller,which renders the closed-loop system asymptotically stable and has an upper bound of the cost function,was obtained.Finally,an example was provided to demonstrate the effectiveness of the proposed model and corresponding results.