Stability analysis of singularly perturbed systems via vector Lyapunov methods

Author

Retchkiman, Z. ; Silva, Gerardo

Author_Institution

Centro de Investigacion en Matematicas Aplicadas, Univ. Autonoma de Coahuila, McAllen, TX, USA

Volume

1

fYear

1996

fDate

11-13 Dec 1996

Firstpage

580

Abstract

The aim of this paper consists of providing a more general and flexible methodology for the stability analysis of nonlinear singularly perturbed systems. Starting from slow and fast comparison principles, for each subsystem, a two-time scale comparison principle is constructed for the full-order singularly perturbed system to conclude its stability. The technique results natural and appropriate for studying stability for this class of systems and obtaining an upper bound for the singular perturbation parameter. To illustrate the procedure an example for the position control of a dc-motor with unmodelled dynamics is worked out

Keywords

Lyapunov methods; control system analysis; nonlinear control systems; singularly perturbed systems; stability; dc-motor; fast comparison principles; nonlinear singularly perturbed systems; position control; slow comparison principles; stability analysis; two-time scale comparison principle; unmodelled dynamics; vector Lyapunov methods; Design methodology; Feedback control; Lyapunov method; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Perturbation methods; Reduced order systems; Stability analysis; Upper bound;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1996., Proceedings of the 35th IEEE Conference on

Conference_Location

Kobe

ISSN

0191-2216

Print_ISBN

0-7803-3590-2

Type

conf

DOI

10.1109/CDC.1996.574384

Filename

574384