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 |
| Sumario: | 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. |
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