Haar wavelet method for constrained nonlinear optimal control problems with application to production inventory model

A new numerical method was proposed in this paper to address the nonlinear quadratic optimal control problems, with state and control inequality constraints. This method used the quasilinearization technique and Haar wavelet operational matrix to convert the nonlinear optimal control problem into...

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Main Authors:	Waleeda Swaidan, Amran Hussin
Format:	Article
Language:	English
Published:	Universiti Kebangsaan Malaysia 2016
Online Access:	http://journalarticle.ukm.my/9686/ http://journalarticle.ukm.my/9686/ http://journalarticle.ukm.my/9686/1/19_Waleeda.pdf

id	ukm-9686
recordtype	eprints
spelling	ukm-96862016-12-14T06:50:33Z http://journalarticle.ukm.my/9686/ Haar wavelet method for constrained nonlinear optimal control problems with application to production inventory model Waleeda Swaidan, Amran Hussin, A new numerical method was proposed in this paper to address the nonlinear quadratic optimal control problems, with state and control inequality constraints. This method used the quasilinearization technique and Haar wavelet operational matrix to convert the nonlinear optimal control problem into a sequence of quadratic programming problems. The inequality constraints for trajectory variables were transformed into quadratic programming constraints using the Haar wavelet collocation method. The proposed method was applied to optimize the control of the multi-item inventory model with linear demand rates. By enhancing the resolution of the Haar wavelet, we can improve the accuracy of the states, controls and cost. Simulation results were also compared with other researchers’ work. Universiti Kebangsaan Malaysia 2016-02 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/9686/1/19_Waleeda.pdf Waleeda Swaidan, and Amran Hussin, (2016) Haar wavelet method for constrained nonlinear optimal control problems with application to production inventory model. Sains Malaysiana, 45 (2). pp. 305-313. ISSN 0126-6039 http://www.ukm.my/jsm/malay_journals/jilid45bil2_2016/KandunganJilid45Bil2_2016.html
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Kebangasaan Malaysia
building	UKM Institutional Repository
collection	Online Access
language	English
description	A new numerical method was proposed in this paper to address the nonlinear quadratic optimal control problems, with state and control inequality constraints. This method used the quasilinearization technique and Haar wavelet operational matrix to convert the nonlinear optimal control problem into a sequence of quadratic programming problems. The inequality constraints for trajectory variables were transformed into quadratic programming constraints using the Haar wavelet collocation method. The proposed method was applied to optimize the control of the multi-item inventory model with linear demand rates. By enhancing the resolution of the Haar wavelet, we can improve the accuracy of the states, controls and cost. Simulation results were also compared with other researchers’ work.
format	Article
author	Waleeda Swaidan, Amran Hussin,
spellingShingle	Waleeda Swaidan, Amran Hussin, Haar wavelet method for constrained nonlinear optimal control problems with application to production inventory model
author_facet	Waleeda Swaidan, Amran Hussin,
author_sort	Waleeda Swaidan,
title	Haar wavelet method for constrained nonlinear optimal control problems with application to production inventory model
title_short	Haar wavelet method for constrained nonlinear optimal control problems with application to production inventory model
title_full	Haar wavelet method for constrained nonlinear optimal control problems with application to production inventory model
title_fullStr	Haar wavelet method for constrained nonlinear optimal control problems with application to production inventory model
title_full_unstemmed	Haar wavelet method for constrained nonlinear optimal control problems with application to production inventory model
title_sort	haar wavelet method for constrained nonlinear optimal control problems with application to production inventory model
publisher	Universiti Kebangsaan Malaysia
publishDate	2016
url	http://journalarticle.ukm.my/9686/ http://journalarticle.ukm.my/9686/ http://journalarticle.ukm.my/9686/1/19_Waleeda.pdf
first_indexed	2023-09-18T19:55:25Z
last_indexed	2023-09-18T19:55:25Z
_version_	1777406496469942272

Haar wavelet method for constrained nonlinear optimal control problems with application to production inventory model

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