Optimal control for a polynomial system with a quadratic criterion over infinite horizon |
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| Authors: | Michael Basin Manuel Jimenez-Lizarraga Celeste Rodriguez-Carreon |
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| Affiliation: | Department of Physical and Mathematical Sciences, Autonomous University of Nuevo Leon, San Nicolas de los Garza, Nuevo Leon, Mexico |
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| 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. |
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| Keywords: | robust control nonlinear systems |
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