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基于广义和局部化法则的时间离散控制系统的改进算法
O. V. Fesko1,2, I. V. Rasina2, 倪明康1
1.华东师范大学 数学系, 上海 200241;2.俄罗斯科学院 系统规划研究所, 俄罗斯, Pereslavl-Zalessky 152021
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)
Improvement algorithms for discrete-time control systems based on the extension and localization principles
O. V. Fesko1,2, I. V. Rasina2, Ni Mingkang1
1.Department of Mathematics, East China Normal University, Shanghai 200241, China;2.Ailamazyan Program Systems Institute, Russian Academy of Sciences, Pereslavl-Zalessky 152021, Russia
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