Optimal control for a polynomial system with a quadratic criterion over infinite horizon

Michael Basin, Manuel Jimenez-Lizarraga, Pablo Rodriguez-Ramirez and Celeste Rodriguez-Carreon

International Journal of Systems Science, 2015, vol. 46, issue 8, 1498-1509

Abstract: This paper proposes an optimal control algorithm for a polynomial system with a quadratic criterion over infinite horizon. The designed regulator gives a closed-form solution to the infinite horizon optimal control problem for a polynomial system with a quadratic criterion. The obtained solution consists of a feedback control law obtained by solving a Riccati algebraic equation dependent on the state. Numerical simulations in the example show advantages of the developed algorithm.

Date: 2015
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DOI: 10.1080/00207721.2013.823528

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