The Use of the Differential Transform Method to Solve Time-Invariant State-Feedback Optimal Control Problems

作     者：Nik, H. Saberi 

作者机构：Islamic Azad Univ Neyshabur Branch Dept Math Neyshabur Iran 

出 版 物：《JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME》 (J Dyn Syst Meas Control Trans ASME)

年 卷 期：2013年第135卷第4期

页      面：041005-1-041005-5页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 08[工学] 0804[工学-仪器科学与技术] 0811[工学-控制科学与工程] 

主　　题：differential transform method optimal control problems Hamilton-Jacobi-Bellman equation 

摘      要：In this paper, the differential transform method (DTM) is applied for solving time-invariant state-feedback control problems. The optimal equations are obtained using the Pontryagin s maximum principle (PMP) and Bellman s Dynamic Programming. We present the closed-loop optimal control of linear plants with quadratic performance index. The results reveal that the proposed methods are very effective and simple. Comparisons are made between the results of two proposed methods and the exact solutions.