| 基于广义和局部化法则的时间离散控制系统的改进算法 |
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| 引用本文： | O. V. Fesko,I. V. Rasin,倪明康.基于广义和局部化法则的时间离散控制系统的改进算法[J].上海师范大学学报(自然科学版),2017,46(3):333-342. |
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| 作者姓名： | O. V. Fesko I. V. Rasin 倪明康 |
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| 作者单位： | 华东师范大学 数学系, 上海 200241;俄罗斯科学院 系统规划研究所, 俄罗斯, Pereslavl-Zalessky 152021,俄罗斯科学院 系统规划研究所, 俄罗斯, Pereslavl-Zalessky 152021,华东师范大学 数学系, 上海 200241 |
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| 基金项目： | This research was supported by the Russian Foundation for Basic Research (15-01-01915 A, 15-01-01923 A) and the National Science Foundation of China (11471118) |
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| 摘 要： | 分别讨论了右端自由和右端固定的时间离散控制系统的改进算法.这些算法是基于广义和局部化法则，对右端固定的情景，提出了一种基于允许集的逼近方法.并用实例说明了算法的有效性.
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| 关 键 词： | 最优控制 离散系统 广义法则 局部法则 容许集 迭代优化 |
| 收稿时间： | 2017/3/6 0:00:00 |
Improvement algorithms for discrete-time control systems based on the extension and localization principles |
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| O. V. Fesko,I. V. Rasina and Ni Mingkang.Improvement algorithms for discrete-time control systems based on the extension and localization principles[J].Journal of Shanghai Normal University(Natural Sciences),2017,46(3):333-342. |
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| Authors: | O V Fesko I V Rasina and Ni Mingkang |
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| Institution: | Department of Mathematics, East China Normal University, Shanghai 200241, China;Ailamazyan Program Systems Institute, Russian Academy of Sciences, Pereslavl-Zalessky 152021, Russia,Ailamazyan Program Systems Institute, Russian Academy of Sciences, Pereslavl-Zalessky 152021, Russia and Department of Mathematics, East China Normal University, Shanghai 200241, China |
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| Abstract: | In this paper, we present iterative improvement algorithms for free-end and constrained discrete-time systems. These algorithms are based on the extension and localization principles. In the case of constrained end problem, a method based on approximation of reachable set is proposed. Algorithm procedures are illustrated with examples. |
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| Keywords: | optimal control discrete system extension principle localization principle reachable set iterative optimization |
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