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

作　　者：厉筱峰[1] 

机构地区：[1]淮阴工学院数理学院,江苏淮安223003

出　　处：《佳木斯大学学报（自然科学版）》2011年第6期921-925,共5页Journal of Jiamusi University：Natural Science Edition

基　　金：淮阴工学院青年科研基金资助(HGC1013)

摘　　要：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.

关 键 词：随机扰动 时滞系统 鲁棒H∞保代价控制 线性矩阵不等式(LMI) 

分 类 号：O231[理学—运筹学与控制论]