Sliding mode regulator as solution to optimal control problem for nonlinear polynomial systems

This paper presents the optimal control problem for a nonlinear polynomial system with respect to a Bolza-Meyer 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...

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Bibliographic Details
Main Authors: Basin, M., Calderon-Alvarez, D.
Format: Conference Proceeding
Language:English
Subjects:
Algorithm design and analysis
Control systems
Filtering
Frequency domain analysis
Nonlinear control systems
Optimal control
Polynomials
Regulators
Sliding mode control
Stochastic systems
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Summary:This paper presents the optimal control problem for a nonlinear polynomial system with respect to a Bolza-Meyer 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.
ISSN:0743-1619
2378-5861
DOI:10.1109/ACC.2009.5160205