Solving a class of fractional optimal control problems by Homotopy Perturbation Method

In this paper, the Homotopy Perturbation method (HPM) has been applied for a class of frac tional optimal control problems. In this approach, rst, the original fractional optimal control problem is transformed into a fractional problem via the Pontryagins maximum principle, and then, we apply Homotopy perturbation method for solving the fractional problem. Solving this system, in a recursive manner leads to the optimal control law and the optimal trajectory in the form of rapid convergent series.