引用本文:陈芳信,汪秉文,姜 新.离散广义区间系统的保成本控制[J].控制理论与应用,2005,22(4):673~676.[点击复制]
CHEN Fang-xin, WANG Bing-wen, JIANG Xin.Guaranteed cost control for the discrete time singular interval systems[J].Control Theory and Technology,2005,22(4):673~676.[点击复制]
离散广义区间系统的保成本控制
Guaranteed cost control for the discrete time singular interval systems
摘要点击 2164  全文点击 1055  投稿时间:2003-11-25  修订日期:2004-11-03
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DOI编号  10.7641/j.issn.1000-8152.2005.4.032
  2005,22(4):673-676
中文关键词  广义区间系统  保成本控制  Schur补  线性矩阵不等式
英文关键词  singular interval systems  guaranteed-cost control  Schur complement  linear matrix inequality(LMI)
基金项目  
作者单位
陈芳信,汪秉文,姜 新 华中科技大学控制科学与工程系,湖北武汉430074 
中文摘要
      分析了离散广义区间系统的保成本控制问题.当系统参数在某一确定区间变化时,控制器能保证闭环系统稳定和一定的线性二次型性能指标上界.基于Lyapunov稳定性理论,该控制器的设计可转化为线性矩阵不等式的可解性问题.数值仿真也验证了所给方法的有效性.
英文摘要
      The problem of guaranteed cost control for the discrete-time singular interval systems was analyzed.When the system parameters vary within a certain interval matrices,the stability of closed-loop system and a certain upper bound of the linear quadratic cost function are both guaranteed by the controller.Based on Lyapunov stability theory,the design of controller can be transformed to a linear matrix inequality (LMI) feasibility problem.The numerical simulation result was provided to demonstrate the effectiveness of the presented method.