First harmonic analysis of linear control systems with high-gain saturating feedback

Author

Aguirre, Baltazar ; Alvarez-Ramírez, José ; Fernández, Guillermo ; Suárez, Rodolfo

Author_Institution

Dept. de Matematicas, Univ. Autonoma Metropolitana, Mexico City, Mexico

Volume

2

fYear

1997

fDate

10-12 Dec 1997

Firstpage

1170

Abstract

A first harmonic approach (describing function method) is used to study the behavior of linear control systems with a saturating high-gain linear feedback. It is shown that when the eigenvalues of the closed-loop system are located deeper in the left-half complex plane, several unstable periodic orbits shrink to the origin, thus leading to an unstable equilibrium point. This dynamical behavior is interpreted as the vanishing of the region of attraction of the origin when a saturating high-gain feedback is used

Keywords

asymptotic stability; closed loop systems; control system synthesis; describing functions; eigenvalues and eigenfunctions; feedback; harmonic analysis; linear systems; closed-loop system; describing function method; dynamical behavior; eigenvalues; first harmonic analysis; high-gain saturating feedback; left-half complex plane; linear control systems; unstable periodic orbits; Control nonlinearities; Control systems; Eigenvalues and eigenfunctions; Feedback control; Harmonic analysis; Linear feedback control systems; Linear systems; Nonlinear control systems; Orbits; Stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1997., Proceedings of the 36th IEEE Conference on

Conference_Location

San Diego, CA

ISSN

0191-2216

Print_ISBN

0-7803-4187-2

Type

conf

DOI

10.1109/CDC.1997.657608

Filename

657608