Optimal controller for third degree polynomial system

Author

Basin, Michael ; Alcorta-garcia, Aracelia

Author_Institution

Autonomous Univ. of Nuevo Leon, Mexico

Volume

1

fYear

2003

fDate

9-12 Dec. 2003

Firstpage

709

Abstract

This paper presents the solution to the optimal controller problem for a stochastic system given by a polynomial equation of third degree, linear observations confused with white Gaussian noises, and a quadratic cost function. The obtained controller equations are applied to solution of the state controlling problem for a nonlinear automotive system. Simulation results are compared for the optimal polynomial controller given in this paper and the best linear controller available for the linearized system.

Keywords

Gaussian noise; nonlinear systems; optimal control; polynomials; stochastic systems; Gaussian noises; controller equations; linear controller; linear observations; linearized system; nonlinear automotive system; optimal polynomial controller; polynomial equation; quadratic cost function; state controlling problem; stochastic system; third degree polynomial system; Automotive engineering; Control systems; Filtering; Gaussian noise; Nonlinear control systems; Nonlinear equations; Nonlinear filters; Optimal control; Polynomials; Regulators;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2003. Proceedings. 42nd IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-7924-1

Type

conf

DOI

10.1109/CDC.2003.1272647

Filename

1272647