Sliding mode regulator as solution to optimal control problem

This paper presents the optimal control problem for a linear 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 linear feedback control fails to provide a causal solution. Perform...

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Bibliographic Details
Main Authors: Basin, M., Calderon-Alvarez, D., Ferrara, A.
Format: Conference Proceeding
Language:English
Subjects:
Algorithm design and analysis
Control systems
Feedback control
Filtering
Frequency domain analysis
Linear systems
Optimal control
Regulators
Sliding mode control
Stochastic systems
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Summary:This paper presents the optimal control problem for a linear 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 linear feedback control fails to provide a causal solution. Performance of the obtained optimal controller is verified in the illustrative example against the conventional LQ 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:0191-2216
DOI:10.1109/CDC.2008.4739114