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

Authors

  • Bhimsen Khadka Department of Science and Humanities, Khwopa college of Engineering, Bhaktapur, Nepal Author
  • Durga Jang K.C. Central Department of Mathematics, Tribhuvan University, Kirtipur, Nepal Author

DOI:

https://doi.org/10.3126/jsce.v9i9.46290

Keywords:

Optimal control system, Hamilton-Jacobi_Bellman equation, Adomian Decomposition, Laplace transofrm-Homotopy perturbation, Variational Iteration

Abstract

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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Published

2021-12-31

Issue

Vol. 9 (2021)

Section

Research Papers

Categories

License

Copyright (c) 2021 Khwopa Engineering College and Khwopa College of Engineering

Creative Commons License

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How to Cite

Khadka, B., & K.C., D. J. (2021). A Few Methods of Solving Optimal Control Problem in Hamilton - Jacobi - Bellman Equation Form. Journal of Science and Engineering (JScE), 9, 8-15. https://doi.org/10.3126/jsce.v9i9.46290