TITLE:
Solving the Optimal Control of Linear Systems via Homotopy Perturbation Method
AUTHORS:
Fateme Ghomanjani, Sara Ghaderi, Mohammad Hadi Farahi
KEYWORDS:
Homotopy Perturbation Method; Optimal Control Problem; Hamilton System
JOURNAL NAME:
Intelligent Control and Automation,
Vol.3 No.1,
February
28,
2012
ABSTRACT: In this paper, Homotopy perturbation method is used to find the approximate solution of the optimal control of linear systems. In this method the initial approximations are freely chosen, and a Homotopy is constructed with an embedding parameter , which is considered as a “small parameter”. Some examples are given in order to find the approximate solution and verify the efficiency of the proposed method.