Sliding mode regulator as solution to optimal control problem for non-linear polynomial systems

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

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Resumen

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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