Solving the Optimal Control of Linear Systems via Homotopy Perturbation Method

• 作者: Fateme Ghomanjani Mohammad Hadi Farahi Sara Ghaderi
• 来源期刊: 智能控制与自动化(英文)
• 学科: 数学
• 关键词: HOMOTOPY PERTURBATION Method Optimal Control Problem HAMILTON System
• 年，卷（期）: 2012,（1）
• 页码范围: 26-33
• 页数: 8页
• 分类号: O1

摘要

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.