Model reference control of regular and chaotic dynamics in the Duffing-Ueda oscillator

Author

Aguirre, Luis A. ; Billings, S.A.

Author_Institution

Dept. of Autom. Control & Syst. Eng., Sheffield Univ., UK

Volume

41

Issue

7

fYear

1994

fDate

7/1/1994 12:00:00 AM

Firstpage

477

Lastpage

480

Abstract

This paper investigates a control strategy which uses an identified reference model to produce appropriate chaotic and nonchaotic reference trajectories. Although it is possible to dispense with the reference model in many applications, it is often desirable to obtain a model of the system in order to guarantee that the reference signal is a genuine trajectory of the system to be controlled and to reduce the effects of transients and the control effort. The influence of measurement noise and the relation between the control effort and the dynamics of the uncontrolled system are also discussed. Examples which use the Duffing-Ueda system and a discrete reference model identified from input/output records with no a priori information, are included to illustrate the main points of the paper

Keywords

adaptive control; bifurcation; chaos; control system synthesis; model reference adaptive control systems; nonlinear control systems; nonlinear network analysis; oscillators; transients; Duffing-Ueda oscillator; Duffing-Ueda system; chaotic dynamics; chaotic reference trajectories; genuine trajectory; input/output records; measurement noise; model reference control; nonchaotic reference trajectories; reference signal; regular dynamics; system control; transients; Chaos; Control system synthesis; Control systems; Design methodology; Extraterrestrial measurements; Noise measurement; Nonlinear equations; Orbits; Oscillators; Signal design;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.298361

Filename

298361