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参数不确定性模糊大系统的保性能控制:LMI方法
引用本文:张友刚,胥布工,候晓丽. 参数不确定性模糊大系统的保性能控制:LMI方法[J]. 华南理工大学学报(自然科学版), 2006, 34(1): 66-72
作者姓名:张友刚  胥布工  候晓丽
作者单位:华南理工大学,自动化科学与工程学院,广东,广州,510640
基金项目:中国科学院资助项目;广东省博士启动基金
摘    要:研究了一类具有参数不确定性的关联模糊大系统的保性能控制问题,基于线性矩阵不等式(LMI)方法给出了该不确定性模糊大系统分散状态反馈保性能控制器的设计方案,所设计的分散状态反馈保性能控制器不但使得该不确定性模糊大系统闭环渐近稳定,而且使得其二次型性能指标的上界最小.最后通过一个数值例子说明了所提出方法的有效性.

关 键 词:参数不确定性  关联模糊大系统  保性能控制  线性矩阵不等式
文章编号:1000-565X(2006)01-0066-07
收稿时间:2005-03-11
修稿时间:2005-03-11

LMI Approach to Guaranteed Cost Control of Fuzzy Large-Scale Systems with Parametric Uncertainty
Zhang You-gang,Xu Bu-gong,Hou Xiao-li. LMI Approach to Guaranteed Cost Control of Fuzzy Large-Scale Systems with Parametric Uncertainty[J]. Journal of South China University of Technology(Natural Science Edition), 2006, 34(1): 66-72
Authors:Zhang You-gang  Xu Bu-gong  Hou Xiao-li
Affiliation:College of Automatic Science and Engineering, South China Univ. of Tech. , Guangzhou 510640, Guangdong, China
Abstract:A practical system should possess stability and other performances.This paper describes the guaranteed cost control of interconnected fuzzy large-scale systems with parametric uncertainty and proposes a design scheme of the guaranteed-cost controller with decentralized state feedback via LMI(Linear Matrix Inequality) technology.The proposed controller not only ensures the asymptotic stability of the closed-loop uncertain fuzzy large-scale system but also minimizes the upper bound of the quadratic performance measure of the system.A numerical example is finally provided to reveal the validity of the proposed approach.
Keywords:parametric uncertainty   interconnected fuzzy large-scale system   guaranteed cost control   linear matrix inequality
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