具有控制器增益摄动的非脆弱H_2控制  

Non-fragile H_2 control for linear systems with controller gain variation

作　　者：王武[1] 杨富文[1] 

机构地区：[1]福州大学电气工程与自动化学院,福建福州350002

出　　处：《福州大学学报（自然科学版）》2005年第3期293-297,304,共6页Journal of Fuzhou University(Natural Science Edition)

基　　金：福建省自然科学基金计划资助项目(项目编号:A0410012);福建省教育厅科技项目(项目编号:JB04004);福州大学科技发展基金资助项目(项目编号:2004-XQ-03)

摘　　要：针对控制器增益存在加性控制器增益摄动,研究了线性连续系统的非脆弱状态反馈H2控制问题.基于线性矩阵不等式方法,给出了非脆弱状态反馈H2控制器存在的充要条件.此外,采用相同的方法还研究了不确定系统的鲁棒非脆弱状态反馈H2控制问题,并给出了鲁棒非脆弱状态反馈H2控制器存在的充要条件.实例表明设计方法的有效性.The problem of non-fragile H_2 control for linear systems is concerned in the presence of controller gain variation. The controller to be designed is assumed to have norm-bounded additive controller gain variations. The sufficient and necessary condition for the existence of non-fragile controller is presented via linear matrix inequality(LMI). In addition, the robust and non-fragile H_2 control problem for linear uncertain systems is also studied by the same method. And a sufficient and necessary condition is proposed to solve the above problem. A numerical example is given to illustrate the design procedure and its effectiveness.

关 键 词：非脆弱控制 H2控制 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]