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A hybrid optimization method for constrained optimal control problem

A new hybrid algorithm by integrating a nested partitions (NP) method with successive quadratic programming (SQP) is presented for global optimization of general optimal control problems involving lumped parameter system. The control parameterization technique first employed to reduce the control pr...

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Main Authors: Banitalebi, Akbar, Abd. Aziz, Mohd. Ismail, Ahmad, Rohanin
Format: Article
Published: IOSR Journals 2012
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/30396/
http://dx.doi.org/10.9790/5728-0213741
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id my.utm.30396
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spelling my.utm.303962019-07-25T05:25:10Z http://eprints.utm.my/id/eprint/30396/ A hybrid optimization method for constrained optimal control problem Banitalebi, Akbar Abd. Aziz, Mohd. Ismail Ahmad, Rohanin QA Mathematics A new hybrid algorithm by integrating a nested partitions (NP) method with successive quadratic programming (SQP) is presented for global optimization of general optimal control problems involving lumped parameter system. The control parameterization technique first employed to reduce the control problem into a parameter selection problem. Then, in the global phase a vicinity of global optimizer is approximated by an appropriate NP method. Subsequently, the SQP algorithm in the local phase promotes the accuracy of final solution. The effectiveness of the hybrid NP–SQP algorithm is also illustrated by means of numerical simulations. IOSR Journals 2012-05 Article PeerReviewed Banitalebi, Akbar and Abd. Aziz, Mohd. Ismail and Ahmad, Rohanin (2012) A hybrid optimization method for constrained optimal control problem. IOSR Journal of Mathematics (IOSRJM), 1 (2). pp. 38-41. ISSN 2278-5728 http://dx.doi.org/10.9790/5728-0213741 DOI:10.9790/5728-0213741
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic QA Mathematics
spellingShingle QA Mathematics
Banitalebi, Akbar
Abd. Aziz, Mohd. Ismail
Ahmad, Rohanin
A hybrid optimization method for constrained optimal control problem
description A new hybrid algorithm by integrating a nested partitions (NP) method with successive quadratic programming (SQP) is presented for global optimization of general optimal control problems involving lumped parameter system. The control parameterization technique first employed to reduce the control problem into a parameter selection problem. Then, in the global phase a vicinity of global optimizer is approximated by an appropriate NP method. Subsequently, the SQP algorithm in the local phase promotes the accuracy of final solution. The effectiveness of the hybrid NP–SQP algorithm is also illustrated by means of numerical simulations.
format Article
author Banitalebi, Akbar
Abd. Aziz, Mohd. Ismail
Ahmad, Rohanin
author_facet Banitalebi, Akbar
Abd. Aziz, Mohd. Ismail
Ahmad, Rohanin
author_sort Banitalebi, Akbar
title A hybrid optimization method for constrained optimal control problem
title_short A hybrid optimization method for constrained optimal control problem
title_full A hybrid optimization method for constrained optimal control problem
title_fullStr A hybrid optimization method for constrained optimal control problem
title_full_unstemmed A hybrid optimization method for constrained optimal control problem
title_sort hybrid optimization method for constrained optimal control problem
publisher IOSR Journals
publishDate 2012
url http://eprints.utm.my/id/eprint/30396/
http://dx.doi.org/10.9790/5728-0213741
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score 13.1890135

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