最优控制的计算原理: 评论最小值原理
The computational principle of optimal control: comments on minimum principle
摘要点击 138  全文点击 139  投稿时间:2018-04-11  修订日期:2018-10-12
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DOI编号  10.7641/CTA.2018.80254
  2019,36(8):1189-1196
中文关键词  最优控制,计算原理,数值优化,最小值原理,凸性
英文关键词  optimal control, computational principle, numerical optimization, minimum principle, convexsity
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吴受章 西安交通大学 710049
中文摘要
      提出连续最优控制计算原理和离散最优控制计算原理,两者都可用于最优控制的数值优化。Pontryagin最小值原理和离散最小值原理,由于其含有的信息不完整,形式特殊,所以都不能用于最优控制的数值优化。此外,Pontryagin最小值原理和离散最小值原理分别为连续最优控制计算原理和离散最优控制计算原理的特殊情况。
英文摘要
      The computational principles of continuous optimal control and discrete optimal control are proposed. Both of them can be used for numerical optimization of optimal control. Pontryagin’s minimum principle and discrete minimum principle can not be used for numerical optimization of optimal control because of their incomplete information and special form. Furthermore, Pontryagin’s minimum principle and discrete minimum principle are the special cases of continuous computational principle and discrete computational principle of optimal control respectively.