Solving The Optimal Control Problems Using Homotopy Perturbation Transform Method

In this paper, we solve Hamilton-Jacobi-Bellman (HJB) equations arising in optimal control problems using Homotopy Perturbation Transform Method (HPTM). The proposed method is a combined form of the Laplace Transformation Method with the Homotopy Perturbation Method to produce a highly effective method to handle many problems. Applying the HPTM, the solution procedure becomes easier, simpler and more straightforward. Some illustrative examples are given to demonstrate the simplicity and efficiency of the proposed method.

کلیدواژه ها:

Homotopy Perturbation Transform Method (HPTM) ، Homotopy Perturbation Method (HPM) ، Laplace transformation ، Optimal control problems(OCP) ، Hamilton-Jocobi-Bellman(HJB)