| 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] |
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| 同时镇定：逆LQ方法 |
| Simultaneous Stabilization:lnverse LQ Approach* |
| 摘要点击 1025 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 |
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| 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. |