Sliding mode regulator as solution to optimal control problem for non-linear polynomial systems
This paper presents the optimal control problem for a nonlinear polynomial system with respect to a BolzaMeyer criterion with a non-quadratic non-integral term. The optimal solution is obtained as a sliding mode control, whereas the conventional polynomial-quadratic regulator does not lead to a cau...
| Autores principales: | , |
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| Formato: | Artículo |
| Lenguaje: | inglés |
| Publicado: |
Franklin Institute
2010
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| Materias: | |
| Acceso en línea: | http://eprints.uanl.mx/27399/1/273.pdf |
| _version_ | 1824420728436424704 |
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| author | Basin, Michael Calderón Álvarez, Darío |
| author_facet | Basin, Michael Calderón Álvarez, Darío |
| author_sort | Basin, Michael |
| collection | Repositorio Institucional |
| description | This paper presents the optimal control problem for a nonlinear polynomial system with respect to a BolzaMeyer criterion with a non-quadratic non-integral term. The
optimal solution is obtained as a sliding mode control, whereas the conventional polynomial-quadratic regulator does not lead to a causal solution and, therefore, fails. Performance of the obtained optimal controller is verified in the illustrative example against the conventional polynomial-quadratic regulator that is optimal for the quadratic Bolza-Meyer criterion. The simulation results confirm an advantage in favor of the designed sliding
mode control. |
| format | Article |
| id | eprints-27399 |
| institution | UANL |
| language | English |
| publishDate | 2010 |
| publisher | Franklin Institute |
| record_format | eprints |
| spelling | eprints-273992024-05-02T13:51:24Z http://eprints.uanl.mx/27399/ Sliding mode regulator as solution to optimal control problem for non-linear polynomial systems Basin, Michael Calderón Álvarez, Darío QA Matemáticas, Ciencias computacionales This paper presents the optimal control problem for a nonlinear polynomial system with respect to a BolzaMeyer criterion with a non-quadratic non-integral term. The optimal solution is obtained as a sliding mode control, whereas the conventional polynomial-quadratic regulator does not lead to a causal solution and, therefore, fails. Performance of the obtained optimal controller is verified in the illustrative example against the conventional polynomial-quadratic regulator that is optimal for the quadratic Bolza-Meyer criterion. The simulation results confirm an advantage in favor of the designed sliding mode control. Franklin Institute 2010 Article PeerReviewed text en cc_by_nc_nd http://eprints.uanl.mx/27399/1/273.pdf http://eprints.uanl.mx/27399/1.haspreviewThumbnailVersion/273.pdf Basin, Michael y Calderón Álvarez, Darío (2010) Sliding mode regulator as solution to optimal control problem for non-linear polynomial systems. Journal of the Franklin Institute, 347 (6). pp. 910-922. ISSN 00160032 http://doi.org/10.1016/j.jfranklin.2009.11.001 doi:10.1016/j.jfranklin.2009.11.001 |
| spellingShingle | QA Matemáticas, Ciencias computacionales Basin, Michael Calderón Álvarez, Darío Sliding mode regulator as solution to optimal control problem for non-linear polynomial systems |
| thumbnail | https://rediab.uanl.mx/themes/sandal5/images/online.png |
| title | Sliding mode regulator as solution to optimal control problem for non-linear polynomial systems |
| title_full | Sliding mode regulator as solution to optimal control problem for non-linear polynomial systems |
| title_fullStr | Sliding mode regulator as solution to optimal control problem for non-linear polynomial systems |
| title_full_unstemmed | Sliding mode regulator as solution to optimal control problem for non-linear polynomial systems |
| title_short | Sliding mode regulator as solution to optimal control problem for non-linear polynomial systems |
| title_sort | sliding mode regulator as solution to optimal control problem for non linear polynomial systems |
| topic | QA Matemáticas, Ciencias computacionales |
| url | http://eprints.uanl.mx/27399/1/273.pdf |
| work_keys_str_mv | AT basinmichael slidingmoderegulatorassolutiontooptimalcontrolproblemfornonlinearpolynomialsystems AT calderonalvarezdario slidingmoderegulatorassolutiontooptimalcontrolproblemfornonlinearpolynomialsystems |