Optimal regulator for third degree polynomial systems

Author

Basin, Michael V. ; Aracelia, Maria ; Garcia, Alcorta

Author_Institution

Dept. of Phys. & Math. Sci., Autonomous Univ. of Nuevo Leon, Mexico

Volume

1

fYear

2002

fDate

2002

Firstpage

617

Abstract

This paper presents the optimal regulator for a nonlinear system state given by a polynomial equation of degree 3 with linear control input and quadratic cost criterion. The optimal regulator equations are obtained using the duality principle, which is applied to the optimal filter for a polynomial system state of degree 3 over linear observations. The obtained results are applied to solution of the optimal control problem for a nonlinear automotive system. Simulation results are compared for the optimal regulator for third degree polynomial systems given in this paper and the best regulator existing for the linearized model.

Keywords

duality (mathematics); nonlinear control systems; optimal control; polynomials; duality; linear control input; linearized model; nonlinear automotive system; nonlinear system state; optimal control; optimal regulator; polynomial equation; quadratic cost criterion; third-degree polynomial systems; Automotive engineering; Control systems; Cost function; Nonlinear control systems; Nonlinear equations; Nonlinear filters; Nonlinear systems; Optimal control; Polynomials; Regulators;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Applications, 2002. Proceedings of the 2002 International Conference on

Print_ISBN

0-7803-7386-3

Type

conf

DOI

10.1109/CCA.2002.1040256

Filename

1040256