引用本文:沃松林,史国栋,邹云.不确定广义大系统分散鲁棒H∞保性能控制[J].控制理论与应用,2009,26(9):1035~1040.[点击复制]
WO Song-lin,SHI Guo-dong,ZOU Yun.Decentralized robust H-infinity and cost-guaranteed control for uncertain singular large-scale systems[J].Control Theory and Technology,2009,26(9):1035~1040.[点击复制]
不确定广义大系统分散鲁棒H∞保性能控制
Decentralized robust H-infinity and cost-guaranteed control for uncertain singular large-scale systems
摘要点击 1703  全文点击 1094  投稿时间:2008-04-15  修订日期:2008-12-09
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DOI编号  10.7641/j.issn.1000-8152.2009.9.CCTA080346
  2009,26(9):1035-1040
中文关键词  分散鲁棒H∞控制  不确定性  保性能控制  线性矩阵不等式.
英文关键词  decentralized H-infinity control  uncertainty  guaranteed cost control  linear matrix inequality (LMI)
基金项目  国家自然科学基金资助项目(60474078).
作者单位E-mail
沃松林* 江苏技术师范学院电气信息工程学院 wosonglin2000@yahoo.com.cn 
史国栋 江苏技术师范学院电气信息工程学院  
邹云 南京理工大学自动化学院  
中文摘要
      针对一类状态矩阵和控制矩阵存在参数不确定的广义大系统, 研究其分散鲁棒H∞保性能控制问题, 系统中不确定项具有数值界, 可不满足匹配条件. 基于广义系统的有界实引理, 应用线性矩阵不等式(LMI)方法, 给出了不确定广义大系统存在分散鲁棒H∞保性能控制器的一个LMI条件, 并用这个线性矩阵不等式系统的可行解提供了一组分散鲁棒H∞保性能控制律的参数化表示, 最后用例子说明该方法的应用.
英文摘要
      The decentralized robust H-infinity and cost-guaranteed control problem for singular large-scale systems with uncertainty in states and control matrices is considered. The uncertainty is magnitude-bounded, but may violate the so-called matching conditions. Based on the bounded real lemma of singular systems, a sufficient condition for the existence of decentralized robust H-infinity and cost-guaranteed controller for uncertain singular large-scale systems is presented in terms of the solvability to a certain system of linear matrix inequalities (LMI). The feasible solutions to this system of LMIs provide a parameterized expression for the set of decentralized robust H-infinity and cost-guaranteed controller. The given example shows the application of the method.