Optimal control of a particular class of singularly perturbed nonlinear discrete-time systems

Author

Bouyekhf, Rachid ; El Hami, Abdelkhalek ; El Moudni, Abdellah

Author_Institution

UTBM Lab., Univ. of Technol., Belfort, France

Volume

46

Issue

7

fYear

2001

fDate

7/1/2001 12:00:00 AM

Firstpage

1097

Lastpage

1101

Abstract

This note studies a class of discrete-time nonlinear systems which depend on a small parameter. Using the singular perturbation theory in a systematic way, we give a trajectory approximation result based on the decomposition of the model into reduced and boundary layer models. This decomposition is used to analyze optimal control via maximum principle of such systems. As a result, significant order reduction of optimal control problems is achieved

Keywords

control system analysis; discrete time systems; maximum principle; nonlinear control systems; optimal control; singularly perturbed systems; boundary layer models; maximum principle; model decomposition; optimal control analysis; order reduction; reduced models; singularly perturbed nonlinear discrete-time systems; trajectory approximation result; Control system analysis; Design methodology; Feedback control; Large-scale systems; Linear systems; Nonlinear systems; Optimal control; Perturbation methods; Reduced order systems; Sufficient conditions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.935063

Filename

935063