文章基本信息

标题：Sub-optimal Control Design for Second Order Non-linear Systems using Krotov Sufficient Conditions
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作者：Avinash Kumar ; Tushar Jain
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2020
卷号：53
期号：1
页码：272-276
DOI：10.1016/j.ifacol.2020.06.046
语种：English
出版社：Elsevier
摘要：This article considers the problem of sub-optimal control design problem for second order non-linear systems. Traditionally, the computation of optimal control law(s) for non-linear systems is usually done using the iterative methods based on the standard tools of optimal control theory which viz. Calculus of Variations (CoV), Hamilton-Jacobi-Bellman equation, Pontryagin’s principle, etc. This work utilizes the rather less explored technique, namely the Krotov framework to obtain the non-iterative solutions. These conditions are derived by transforming the optimal control problem into another equivalent optimization problem. This translation is done via an ad-hoc selection of the so-called Krotov function. In this article, the Krotov function is chosen such that the equivalent optimization problem can be solved non-iteratively to obtain sub-optimal control laws for the original optimal control problem. The proposed methodology is demonstrated by a numerical example.
关键词：Sub-optimal control design;linear Krotov functions;second order non-linear systems