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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Universiti Kebangsaan Malaysia
2016
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| Online Access: | http://journalarticle.ukm.my/9686/ http://journalarticle.ukm.my/9686/1/19_Waleeda.pdf |
| _version_ | 1848812151365435392 |
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| author | Waleeda Swaidan, Amran Hussin, |
| author_facet | Waleeda Swaidan, Amran Hussin, |
| author_sort | Waleeda Swaidan, |
| building | UKM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T23:57:44Z |
| format | Article |
| id | oai:generic.eprints.org:9686 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T23:57:44Z |
| publishDate | 2016 |
| publisher | Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org: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 |
| spellingShingle | Waleeda Swaidan, Amran Hussin, Haar wavelet method for constrained nonlinear optimal control problems with application to production inventory model |
| title | 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_short | 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 |
| url | http://journalarticle.ukm.my/9686/ http://journalarticle.ukm.my/9686/ http://journalarticle.ukm.my/9686/1/19_Waleeda.pdf |