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. |
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 |
DOI:10.3969/J.ISSN.100-5137.2017.03.001 |
分类号: |
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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Improvement algorithms for discrete-time control systems based on the extension and localization principles |
O. V. Fesko1,2, I. V. Rasina2, Ni Mingkang1
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1.Department of Mathematics, East China Normal University, Shanghai 200241, China;2.Ailamazyan Program Systems Institute, Russian Academy of Sciences, Pereslavl-Zalessky 152021, Russia
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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. |
Key words: optimal control discrete system extension principle localization principle reachable set iterative optimization |