基于增广Lyapunov泛函的不确定时滞系统的时滞相关鲁棒H_∞控制  

Delay-dependent Robust H_∞ Control of Uncertain Systems with Time-Delay Based on Augmented Lyapunov Functional

作　　者：刘小梅[1] 王天成[1] 李圣涛[1] 

机构地区：[1]鲁东大学数学与信息学院,山东烟台264025

出　　处：《鲁东大学学报（自然科学版）》2009年第4期308-314,共7页Journal of Ludong University:Natural Science Edition

基　　金：国家自然科学基金(10771122;60774016)

摘　　要：研究了一类不确定时滞系统的鲁棒H∞控制问题.利用增广Lyapunov泛函并结合自由权矩阵方法,得到使得闭环系统鲁棒渐近稳定且具有给定的H∞性能的时滞相关充分条件.基于相应的线性矩阵不等式的可行解,给出了不确定时滞系统的状态反馈鲁棒H∞控制律.仿真实例表明了本文方法的有效性.The problem of H∞ control for a class of uncertain systems with time-delay is considered.By means of augmented Lyapunov functional and free-weighting matrix approach,a delay-dependent sufficient condition is presented,which can make the resulting closed-loop systems asymptotically stable and satisfy a prescribed H∞ norm-bounded constraint.In terms of solutions of the linear matrix inequality（LMI）,the robust H∞ state feedback control law of the considered systems is obtained.Finally,numerical examples show the validity of the proposed approach.

关 键 词：H∞控制 增广Lyapunov泛函 时滞相关 线性矩阵不等式(LMI) 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]