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

被引：0

作者：

Nik, H. Saberi ^{[1
]}

机构：

[1] Islamic Azad Univ, Neyshabur Branch, Dept Math, Neyshabur, Iran

来源：

JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME | 2013年 / 135卷 / 04期

关键词：

differential transform method; optimal control problems; Hamilton-Jacobi-Bellman equation; ADOMIAN DECOMPOSITION METHOD; EQUATIONS;

D O I：

10.1115/1.4023974

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

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.

引用

页数：5

共 17 条

[11]

Pinch E.R., 1993, OPTIMAL CONTROL CALC

[12]

Pontryagin L.S., 1985, Selected Works, V4

[13]

Saberi Nik H., 2013, MATH PROBL ENG, V2013

[14] The numerical solutions of differential transform method and the Laplace transform method for a system of differential equations [J].

Thongmoon, Montri ;

Pusjuso, Sasitorn .

NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2010, 4 (03) :425-431

[15] Finding the optimal control of linear systems via He's variational iteration method [J].

Yousefi, S. A. ;

Dehghan, Mehdi ;

Lotfi, A. .

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2010, 87 (05) :1042-1050

[16] New exact solutions to the perturbed nonlinear Schrodinger's equation with Kerr law nonlinearity via modified trigonometric function series method [J].

Zhang, Zai-yun ;

Li, Yun-xiang ;

Liu, Zhen-hai ;

Miao, Xiu-jin .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (08) :3097-3106

[17]

Zhou J., 1986, DIFFERENTIAL TRANSFO

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