| 一类多输入定常系统LQ最优控制的研究 |
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| 引用本文： | 刘孝锋,金朝永.一类多输入定常系统LQ最优控制的研究[J].汕头大学学报(自然科学版),2003,18(4):1-5. |
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| 作者姓名： | 刘孝锋 金朝永 |
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| 作者单位： | 汕头大学数学系,汕头,515063 |
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| 摘 要： | 基于求解 Riccati方程 ,研究了一类定常多输入系统的 LQ最优控制问题 ,给出了当加权矩阵 R具有某种形式时 ,其最优控制律可转化为求解单输入系统的 LQ最优控制律而获得 .
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| 关 键 词： | LQ最优控制 代数Riccati方程 最优控制律 |
| 文章编号： | 1001-4217(2003)04-0001-05 |
| 修稿时间： | 2003年1月3日 |
On the LQ Optimal Control for a Class of Multi-Input Time-Unvariable Systems |
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| LIU Xiao feng,JIN Chao yong.On the LQ Optimal Control for a Class of Multi-Input Time-Unvariable Systems[J].Journal of Shantou University(Natural Science Edition),2003,18(4):1-5. |
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| Authors: | LIU Xiao feng JIN Chao yong |
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| Abstract: | The LQ optimal control problem could be solved directly by solving the Riccati equation. It could be solved according to the frequency equality also. This paper studied the LQ optimal control problem of a class of multi input time unvariable systems. Based on solving Ricaati equation, when the weight matrix R has some special structures, the optimal control law of multi input time unvariable systems could be obtained by solving the LQ optimal control problem of single input systems. Because the way of solving the LQ optimal control problem of single input systems is more easier than solving the multi input systems, so there are some value of theory and application for the results presented in this paper. |
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| Keywords: | LQ optimal control algebraic Riccati equation optimal control law |
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