引用本文:曹永岩 ， 孙优贤.同时镇定：逆LQ方法[J].控制理论与应用,1999,16(6):807~810.[点击复制]
Cao Yongyan ，Sun Youxian.Simultaneous Stabilization:lnverse LQ Approach*[J].Control Theory and Technology,1999,16(6):807~810.[点击复制]
同时镇定：逆LQ方法
Simultaneous Stabilization:lnverse LQ Approach*
摘要点击 1029  全文点击 491  投稿时间：1997-01-14  修订日期：1999-05-05
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DOI编号  
  1999,16(6):807-810
中文关键词  同时镇定  代数Riccati不等式  静态输出反馈  状态反馈  线性系统
英文关键词  simultaneous stabilization  algebraic Riccatiinequality(ARI)  static output feedback  state feedback  linear systems
基金项目  
作者单位
曹永岩 ， 孙优贤  
中文摘要
      本文使用逆LQ方法研究了同时镇定问题，首先得到r个正则MIMO对象可静态输出反馈同时镇定的充要条件，然后给出了状态反馈同时镇定的一种解．这些条件均以一组耦合Riccati方程和Riccati不等式的形式给出．本文证明，任一同时镇定反馈增益均可描述为一组具有合适交叉项的耦合LQ控制问题的解．
英文摘要
      In this paper,the simultaneous stabilization problem is addressed using the inverse IQ approach.A necessary and sufficient condition for simultaneous stabilizability of r strictly proper MIMO plants via static output feedback is obtained, and a solution of the simultaneous stabilization via state feedback is presented.The condition is described by some coupled alge-braic Riccati inequalities.lt is shown that any such stabilizing feedback gain is the solution of some coupled linear quadratic con-trol problems where every cost functional has a suitable cross term.