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

Author

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

Author_Institution

Dept. of Phys. & Math. Sci., Autonomous Univ. of Nuevo Leon, San Nicolas de los Garza, Mexico

fYear

2013

fDate

17-19 June 2013

Firstpage

4987

Lastpage

4992

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 in 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.

Keywords

Riccati equations; control system synthesis; feedback; infinite horizon; optimal control; polynomial approximation; Riccati algebraic equation; closed form solution; feedback control law; infinite horizon optimal control problem; numerical simulation; optimal control algorithm; polynomial system; quadratic criterion; regulator design; Feedback control; Mathematical model; Numerical simulation; Optimal control; Polynomials; Regulators;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference (ACC), 2013

Conference_Location

Washington, DC

ISSN

0743-1619

Print_ISBN

978-1-4799-0177-7

Type

conf

DOI

10.1109/ACC.2013.6580612

Filename

6580612