On the Solution of a Nonlinear Semidefinite Program Arising in Discrete-Time Feedback Control Design
A sequential quadratic programming method with line search is analyzed and studied for finding the local solution of a nonlinear semidefinite programming problem resulting from the discrete-time output feedback problem. The method requires an initial feasible point with respect to two positive defin...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/683797 |
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| author | El-Sayed M. E. Mostafa |
| author_facet | El-Sayed M. E. Mostafa |
| author_sort | El-Sayed M. E. Mostafa |
| collection | DOAJ |
| description | A sequential quadratic programming method with line search is analyzed and studied for finding the local solution of a nonlinear semidefinite programming problem resulting from the discrete-time output feedback problem. The method requires an initial feasible point with respect to two positive definite constraints. By parameterizing the optimization problem we ease that requirement. The method is tested numerically on several test problems chosen from the benchmark
collection (Leibfritz, 2004). |
| format | Article |
| id | doaj-art-880e60e1b81b469e8fb314e6bed0a1a1 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-880e60e1b81b469e8fb314e6bed0a1a12025-02-03T01:20:41ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/683797683797On the Solution of a Nonlinear Semidefinite Program Arising in Discrete-Time Feedback Control DesignEl-Sayed M. E. Mostafa0Department of Mathematics, Faculty of Science, Alexandria University, Moharam Bey, Alexandria 21511, EgyptA sequential quadratic programming method with line search is analyzed and studied for finding the local solution of a nonlinear semidefinite programming problem resulting from the discrete-time output feedback problem. The method requires an initial feasible point with respect to two positive definite constraints. By parameterizing the optimization problem we ease that requirement. The method is tested numerically on several test problems chosen from the benchmark collection (Leibfritz, 2004).http://dx.doi.org/10.1155/2014/683797 |
| spellingShingle | El-Sayed M. E. Mostafa On the Solution of a Nonlinear Semidefinite Program Arising in Discrete-Time Feedback Control Design Journal of Applied Mathematics |
| title | On the Solution of a Nonlinear Semidefinite Program Arising in Discrete-Time Feedback Control Design |
| title_full | On the Solution of a Nonlinear Semidefinite Program Arising in Discrete-Time Feedback Control Design |
| title_fullStr | On the Solution of a Nonlinear Semidefinite Program Arising in Discrete-Time Feedback Control Design |
| title_full_unstemmed | On the Solution of a Nonlinear Semidefinite Program Arising in Discrete-Time Feedback Control Design |
| title_short | On the Solution of a Nonlinear Semidefinite Program Arising in Discrete-Time Feedback Control Design |
| title_sort | on the solution of a nonlinear semidefinite program arising in discrete time feedback control design |
| url | http://dx.doi.org/10.1155/2014/683797 |
| work_keys_str_mv | AT elsayedmemostafa onthesolutionofanonlinearsemidefiniteprogramarisingindiscretetimefeedbackcontroldesign |