| 一类离散线性切换系统的最优控制 |
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| 引用本文： | 向峥嵘,王春芳. 一类离散线性切换系统的最优控制[J]. 动力学与控制学报, 2008, 6(1): 9-11 |
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| 作者姓名： | 向峥嵘 王春芳 |
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| 作者单位： | 南京理工大学自动化学院,南京,210094;南京理工大学自动化学院,南京,210094 |
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| 基金项目： | 江苏省自然科学基金 , 南京理工大学校科研和教改项目 |
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| 摘 要： | 研究了一类离散线性切换系统在切换时间、切换次数固定的情况下的二次最优控制问题.利用离散动态规划的方法,将多级决策过程分解成一系列易于求解的单级决策过程,求出最优控制序列和最优切换序列,并给出算法.最后通过一个数值例子来说明所提出的方法的有效性.
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| 关 键 词： | 切换系统 最优控制 动态规划 |
| 文章编号： | 1672-6533/2008/06(l)/009-03 |
| 收稿时间： | 2007-06-27 |
| 修稿时间： | 2007-06-27 |
Optimal control for a class of discrete linear switched systems |
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| Xiang Zhengrong and Wang Chunfang. Optimal control for a class of discrete linear switched systems[J]. Journal of Dynamics and Control, 2008, 6(1): 9-11 |
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| Authors: | Xiang Zhengrong and Wang Chunfang |
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| Affiliation: | School of Automation;Nanjing University of Science and Technology;Nanjing 210094;China |
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| Abstract: | This paper studied the quadratic optimal control for a class of discrete linear switched systems with switched time and fixed switched number.By using the discrete dynamic programming principle,a multistage decision process was disintegrated into a series of single decision processes,which was easy to find feasible solutions,and the optimal control sequence and the optimal switched sequence were given.Finally,a numerical example was given to illustrate the effectiveness of the proposed approach. |
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| Keywords: | switched systems optimal control dynamic programming |
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