Identification of systems with limit cycles

Author

Lacy, Seth L. ; Bernstein, Dennis S.

Author_Institution

Dept. of Space Vehicles, Air Force Res. Lab., Kirtland AFB, NM, USA

Volume

5

fYear

2003

fDate

4-6 June 2003

Firstpage

3863

Abstract

Limit cycle oscillations occur in a wide range of electrical, mechanical, and aerospace applications. In this paper we present a method for constructing system models that are able to reproduce a periodic signal as a limiting trajectory. Our approach is based on continuous-time modeling of a scalar nth-order system whose dynamics are represented as a map of integrals and derivatives of the available signal. The method is demonstrated on the classical Van der Pol oscillator and a nonlinear oscillator with piecewise linear damping.

Keywords

continuous time systems; identification; limit cycles; piecewise linear techniques; relaxation oscillators; Van der Pol oscillator; aerospace application; continuous-time modeling; derivative map; electrical application; integral map; limit cycle oscillation; limiting trajectory; mechanical application; nonlinear oscillator; periodic signal; piecewise linear damping; system identification; Aerodynamics; Chaos; Damping; Fluid dynamics; Limit-cycles; Mathematics; Nonlinear dynamical systems; Oscillators; Space vehicles; Vehicle dynamics;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2003. Proceedings of the 2003

ISSN

0743-1619

Print_ISBN

0-7803-7896-2

Type

conf

DOI

10.1109/ACC.2003.1240438

Filename

1240438