Optimal control applications and Methods, ( ISI ), Volume (2), No (2), Year (2013-1) , Pages (2-2)

Title : ( An approximate method for solving a class of nonlinear optimal control problems )

Authors: Hassan Saberi Nik , Sohrab Effati ,

Access to full-text not allowed by authors

Citation: BibTeX | EndNote

This paper presents a novel computational approach to generate the suboptimal solutions for a class of nonlinear optimal control problems (OCP’s) with a quadratic performance index. Our method is based on the one-dimensional differential transform method (DTM) and new polynomials that are called DT’s polynomials. This method simplifies the difficulties and massive computational work for calculating the differential transform of nonlinear function. The convergence of proposed method are discussed in detail. This method consists of a new modified version of the DTM together with a shooting method such as procedure, for solving the extreme conditions obtained from the Pontryagin’s maximum principle. The results reveal that the proposed methods are very effective and simple. Comparisons are made between new DTM generated results, results from literature, and MATLAB bvp4c generated results, and good agreement is observed.

Keywords

differential transform method; DT’s polynomials; nonlinear optimal control problems; Pontryagin’s maximum
برای دانلود از شناسه و رمز عبور پرتال پویا استفاده کنید.

@article{paperid:1035407,
author = {Saberi Nik, Hassan and Effati, Sohrab},
title = {An approximate method for solving a class of nonlinear optimal control problems},
journal = {Optimal control applications and Methods},
year = {2013},
volume = {2},
number = {2},
month = {January},
issn = {0143-2087},
pages = {2--2},
numpages = {0},
keywords = {differential transform method; DT’s polynomials; nonlinear optimal control problems; Pontryagin’s maximum principle},
}

[Download]

%0 Journal Article
%T An approximate method for solving a class of nonlinear optimal control problems
%A Saberi Nik, Hassan
%A Effati, Sohrab
%J Optimal control applications and Methods
%@ 0143-2087
%D 2013

[Download]