一类时变时滞不确定系统的鲁棒保性能控制  

Robust guaranteed cost control for a class of uncertain systems with time-varying delay

作　　者：王玉芬[1] 张高民[1] 王中凤[1] 

机构地区：[1]中国石油大学(华东)数学与计算科学学院,山东东营257061

出　　处：《山东理工大学学报（自然科学版）》2008年第6期26-29,33,共5页Journal of Shandong University of Technology:Natural Science Edition

摘　　要：针对一类线性时变时滞不确定系统,运用Lyapunov稳定性理论和线性矩阵不等式方法,讨论了系统的鲁棒保性能控制问题.给出了系统鲁棒稳定性条件,将结果表示成线性矩阵不等式的形式,并进一步给出了系统状态反馈控制器的设计方法.最后给出数值算例,说明了该方法的有效性.The robust guaranteed cost control problem for a class of uncertain linear systems with time-varying delay was discussed.Based on Lyapunov stability theory and linear matrix inequality,a condition for robust asymptotic stability was derived.Then the robust state feedback controller design method was given.Finally,a numerical example was presented to illustrate the efficiency of this method.

关 键 词：不确定性 时变时滞 鲁棒稳定 线性矩阵不等式 

分 类 号：O231.1[理学—运筹学与控制论]