Inducing periodic oscillations and chaos in continuous systems via time-delay controllers

Author

Alvarez, Joaquin

Author_Institution

Sci. Res. & Adv. Studies Center of Ensenada, San Diego, CA, USA

Volume

2

fYear

2000

fDate

2000

Firstpage

217

Abstract

A technique to produce periodic and chaotic oscillations in simple continuous-time systems that without control do not necessarily exhibit an oscillatory behavior, is proposed. First a fast dynamics is produced using a feedback linearization controller such that the closed-loop system can be given a singular perturbation structure. Then a second control term containing a nonlinear map of a delayed state is added. This map produces periodic oscillations and chaos in the sense of Li and Yorke (1975)

Keywords

chaos; closed loop systems; continuous time systems; feedback; nonlinear control systems; oscillations; chaos; continuous-time systems; delayed state; fast dynamics; feedback linearization controller; nonlinear map; periodic oscillations; singular perturbation; time-delay controllers; Added delay; Chaos; Continuous time systems; Control systems; Delay effects; Displays; Linear feedback control systems; Multiaccess communication; Nonlinear dynamical systems; Systems engineering and theory;

fLanguage

English

Publisher

ieee

Conference_Titel

Control of Oscillations and Chaos, 2000. Proceedings. 2000 2nd International Conference

Conference_Location

St. Petersburg

Print_ISBN

0-7803-6434-1

Type

conf

DOI

10.1109/COC.2000.873956

Filename

873956