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线性系统静态输出反馈镇定的LMI方法
引用本文:王金枝,张纪峰.线性系统静态输出反馈镇定的LMI方法[J].控制理论与应用,2001,18(6):843-846.
作者姓名:王金枝  张纪峰
作者单位:中国科学院数学与系统科学研究院系统科学研究所,
基金项目:supported by the National Natural Science Foundation of China and the National Key Project of China.
摘    要:利用无约束条件的线性矩阵不等式(LMI)研究了W-问题和P-问题,而后者的解可用来设计静态输出反馈(SOF)镇定控制,作为一个应用考虑了不确定系统的静态输出反馈问题,给出了依赖于LMI条件的SOF设计方法。

关 键 词:线性矩阵不等式  静态输出反馈  不确定性  线性系统  镇定
文章编号:1000-8152(2001)06-0843-04
收稿时间:5/8/2000 12:00:00 AM
修稿时间:2000年5月8日

An LMI Approach to Static Output Feedback Stabilization of Linear Systems
WANG Jin-zhi and ZHANG Ji-feng.An LMI Approach to Static Output Feedback Stabilization of Linear Systems[J].Control Theory & Applications,2001,18(6):843-846.
Authors:WANG Jin-zhi and ZHANG Ji-feng
Affiliation:Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, P.R.China;Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, P.R.China
Abstract:In this paper, a linear matrix inequality (LMI) approach without constraints is developed to solve W and P problems, which are related to designing static output feedback (SOF) stabilization controls for linear systems. As an application, the SOF stabilization problem of uncertain systems is considered. Some LMI based sufficient and necessary conditions and design approaches are presented.
Keywords:LMI  static output feedback  uncertainty
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