一类带有非线性摄动的时滞系统的鲁棒H_∞控制  

Robust Control for a Class of Time-delay Systems with Nonlinear Perturbation

作　　者：谭伟冰[1] 莫玉忠[2] 李洁坤[2] 

机构地区：[1]广西师范学院数学与计算机科学系,广西南宁530001 [2]柳州师范高等专科学校数学与计算机科学系,广西柳州545004

出　　处：《广西师范学院学报（自然科学版）》2007年第2期7-11,共5页Journal of Guangxi Teachers Education University(Natural Science Edition)

基　　金：2004年广西百名学科带头人资助项目

摘　　要：基于稳定性理论,该文研究了一类带有非线性摄动的时滞系统的H∞性能问题.通过构造Lyapunov函数推导出一个线性矩阵不等式,从而得到该系统具有H∞性能的充分条件;同时,通过求解这个线性矩阵不等式,即可获得鲁棒H∞控制器.给出系统具有H∞性能的两类时滞相关鲁棒稳定控制器.Based on Lyapunov stability theory, control for a class of time - delay systems with nonlinear perturbation is researched in this paper. A linearity matrix inequality is derived by constructing a Lyapunov function, so that a sufficient condition for such system to be property is presented; furthermore, by solving the linearity matrix inequality, the robust controller is obtained. Two delay- dependent robust stabilizing controllers for such system to be property are presented in this paper.

关 键 词：非线性摄动 时滞系统 线性矩阵不等式 H∞控制 

分 类 号：O231[理学—运筹学与控制论]