| 引用本文: | 黄守东，张嗣瀛.具有对称循环结构的大系统Riccati方程的求解[J].控制理论与应用,1998,15(1):75~81.[点击复制] |
| HUANG Shoudong and ZHANG Siying.The Solving of Riccati Equations for Large-Scale Systems with Symmetric Circulant Structure*[J].Control Theory & Applications,1998,15(1):75~81.[点击复制] |
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| 具有对称循环结构的大系统Riccati方程的求解 |
| The Solving of Riccati Equations for Large-Scale Systems with Symmetric Circulant Structure* |
| 摘要点击 1565 全文点击 583 投稿时间：1996-05-13 修订日期：1997-03-12 |
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| DOI编号 |
| 1998,15(1):75-81 |
| 中文关键词 大系统 对称循环结构 Riccati方程 二次型最优控制 鲁棒控制 |
| 英文关键词 large-scale svstems symmetric circulant structure Riccati equation linear quadratic optimal control robust control |
| 基金项目 |
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| 中文摘要 |
| 本文研究了具有对称循环结构的大系统的代数Riccati方程和Lyapunov矩阵方程的求解问题. 结果表明， 这类系统的代数Riccati方程和Lyapunov矩阵方程的求解问题可以简化为求解N+l个独立的低阶方程， 做为一个应用， 这类系统的二次型最优控制问题和鲁棒二次型最优控制问题也可以简化. |
| 英文摘要 |
| This paper discusses the solving of the algebraic Riccati equations and the Lyapunov matrix equations for large-scale svstems with symmetric circulant structure. It is shown that the solving of the algebraic Riccati equations and the Lyapunov matrix equations for such a system can be simplified by solving N/2+1 independent equations of dimension N times smaller than the origi-nal equations. As an application,the problems of the linear quadratic optimal control and the robust linear quadratic optimal control for such a system can also be simplified. |