求解Hamilton-Jacobi-Bellman方程形式最优控制问题的几种方法

Q4 Mathematics

AIUB Journal of Science and Engineering Pub Date : 2021-12-31 DOI:10.3126/jsce.v9i9.46290

Bhimsen Khadka, Durga Jang K.c.

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引用次数: 0

摘要

非线性最优控制问题出现在许多不同的领域，如工程、医学、经济、工业等。Hamilton-Jacobi-Bellman方程的解与非线性最优控制问题相联系。本文利用非线性最优控制问题，建立了Hamilton-Jacobi-Bellman方程。用Adomian分解法、拉普拉斯变换-同伦摄动法和变分迭代法讨论了其解。

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A Few Methods of Solving Optimal Control Problem in Hamilton-Jacobi-Bellman Equation Form

Non-linear optimal control problem arises in many different areas, for example, engineering, medical sciences, economics, industries, etc. The solution of Hamilton-Jacobi-Bellman equation is connected with the non -linear optimal control problem. In this paper, we formulate the Hamilton-Jacobi-Bellman equation using nonlinear optimal control problem. We also discuss its solutions using Adomian decomposition method, Laplace transform-Homotopy perturbation method and variational iteration method.

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来源期刊

AIUB Journal of Science and Engineering Mathematics-Mathematics (miscellaneous)

CiteScore

1.00

自引率

0.00%

发文量