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

Abstract

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… (More)
DOI: 10.1016/j.jfranklin.2009.11.001

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