不确定多时滞广义系统的鲁棒H_∞控制  

Robust H_∞ Control for Uncertain Generalized Systems with Multiple Time-delays

作　　者：王中凤[1] 张高民[1] 王玉芬[1] 

机构地区：[1]中国石油大学数学与计算科学学院,山东东营257061

出　　处：《山东科技大学学报（自然科学版）》2009年第2期106-110,共5页Journal of Shandong University of Science and Technology(Natural Science)

基　　金：中国石油大学基础研究资助项目(不确定时滞系统的鲁棒稳定性分析与综合)

摘　　要：研究了一类具有范数有界不确定性和多状态滞后的广义系统的鲁棒H∞控制问题。利用Lyapunov函数方法和线性矩阵不等式工具,首先得到广义闭环系统渐近稳定且具有H∞范数界γ的时滞相关充分条件,然后基于相应的线性矩阵不等式,给出了无记忆H∞状态反馈控制器的设计方法,进一步,通过求解一个凸优化问题得到最优H∞状态反馈控制器。最后,用数值例子说明了该方法的有效性。The problem of robust H∞ control for a class of uncertain generalized systems with multiple time-delays is discussed. Firstly, based on Lyapunov functional method and linear matrix inequality technique, a delay-dependent sufficient condition is obtained, which ensures that the closed-loop system is asymptotic stable and with H∞ norm bound. Then, a design method for the memoryless state feedback H∞ controller of the system is presented. Furthermore,a design method of the optimal state feedback H∞ controller is obtained by solving a convex optimization problem. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

关 键 词：多时滞广义系统 不确定性 H∞控制 线性矩阵不等式 

分 类 号：O231[理学—运筹学与控制论]