Solving The Optimal Control Problems Using Homotopy Perturbation Transform Method

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