On infinite-time nonlinear quadratic optimal control

Author

Chen, Yue ; Edgar, Thomas ; Manousiouthakis, Vasilios

Author_Institution

Dept. of Chem. Eng., California Univ., Los Angeles, CA, USA

Volume

1

fYear

2003

fDate

9-12 Dec. 2003

Firstpage

221

Abstract

This work presents an approximate solution method for the infinite-time nonlinear quadratic optimal control problem. The method is applicable to a large class of nonlinear systems and involves solving a Riccati equation and a series of linear algebraic equations. Conditions for uniqueness and stability of the resulting feedback policy are established. It is shown that the proposed approximation method is useful in determining the region in which the constrained and unconstrained optimal control policies are identical. A reactor control problem is used to illustrate the method.

Keywords

Riccati equations; approximation theory; feedback; nonlinear control systems; stability; time optimal control; Riccati equation; approximation method; feedback; infinite time nonlinear quadratic optimal control; linear algebraic equations; nonlinear systems; reactor control problem; stability; Adaptive control; Aerospace control; Differential equations; Integral equations; Nonlinear equations; Nonlinear systems; Optimal control; Partial differential equations; Riccati equations; Stability;

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.2003.1272564

Filename

1272564