线性区间系统的鲁棒非脆弱H_∞控制  

Robust and Non-fragile H_∞ Control for Linear In terval System

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：《集美大学学报（自然科学版）》2005年第2期109-113,共5页Journal of Jimei University：Natural Science

基　　金：国家自然科学基金项目(60474049);福建省自然科学基金项目(A0410012);福建省教育厅科技项目(JB04004);福州大学科研基金项目(2004-XQ-03;2004-XJY-0401)

摘　　要：讨论了一类区间系统的鲁棒非脆弱H∞状态反馈控制问题.考虑的非脆弱控制器其控制器参数在未知的区间内波动但波动幅度已知,该形式的控制器等效描述类似于范数有界摄动形式的非脆弱控制器.基于线性矩阵不等式方法,给出了鲁棒非脆弱H∞状态反馈控制方案.所设计的控制器在给定区间内波动时保证闭环系统稳定且满足给定的H∞性能指标.数值例子表明了H∞上述设计方法的有效性.The problem of robust and non-fragileH∞control via state feedback for a class of linear inter- val systems is d iscussed. The non-fragile controller under consideration varies in an unknown interval, but its offset is known, whose equivalent description is sim ilar to the one with norm-bounded gain variation. The suf- ficient and necessary cond ition for the existence of solutions to the problem is presented in terms of linearma- trix inequality (LM I). The designed controller can stabilize the closed-loop systems and guarantee a pre- scribedH∞performance. A numerical example is provided to demonstrate the valid ity of the proposed design approach.

关 键 词：非脆弱控制 鲁棒控制 区间系统 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]