引用本文:胡中骥,施颂椒,翁正新.积分二次约束线性系统的H∞控制器设计:一种LMI方法[J].控制理论与应用,2002,19(4):647~649.[点击复制]
HU Zhong-ji,SHI Song-jiao,WENG Zheng-xin.H-infinity controller design for linear systems with integral quadratic constraints: an LMI approach[J].Control Theory and Technology,2002,19(4):647~649.[点击复制]
积分二次约束线性系统的H∞控制器设计:一种LMI方法
H-infinity controller design for linear systems with integral quadratic constraints: an LMI approach
摘要点击 1963  全文点击 1282  投稿时间：2000-08-14  修订日期：2001-03-13
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DOI编号  10.7641/j.issn.1000-8152.2002.4.036
  2002,19(4):647-649
中文关键词  H∞控制  积分二次型约束  线性矩阵不等式  状态反馈  输出反馈
英文关键词  H-infinity control  integral quadratic constraints (IQC)  linear matrix inequality (LMI)  state feedback  output feedback
基金项目  
作者单位
胡中骥 上海交通大学 自动化研究所, 上海 200030 
施颂椒 上海交通大学 自动化研究所, 上海 200030 
翁正新 上海交通大学 自动化研究所, 上海 200030 
中文摘要
      基于动态耗散理论, 给出了具有积分二次约束线性系统稳定和具有L2有限增益的充分条件. 导出了积分二次约束线性系统H∞ 状态反馈和动态输出反馈降阶控制器的设计方法, 并转化为多个线性矩阵不等式, 利用LMI工具箱求解.
英文摘要
      Based on dissipativity theory, sufficient conditions for stability and bounded- L-two-gain of linear systems with integral quadratic constraints were presented. The design methods of static state feedback controller and dynamic reduced_order output feedback controller for linear systems with integral quadratic constraints were derived. All the problems were converted to linear matrix inequalities that can be solved by the LMI toolbox in Matlab.