A simple and robust method for controlling chaotic systems

Author

Dedieu, Hervé ; Ogorzalek, Maciej

Author_Institution

Dept. of Electr. Eng., Swiss Federal Inst. of Technol., Lausanne, Switzerland

Volume

6

fYear

1994

fDate

30 May-2 Jun 1994

Firstpage

85

Abstract

We consider a class of autonomous, continuous time, chaotic dynamical systems, the state equations of which can be represented in so-called Lur´e form. It is shown that the dynamic behaviour of such a system can be influenced in such a way that its state will reproduce any chosen periodic orbit being a solution. This kind of control can be achieved via injection of a single continuous time signal representing the output of the system associated with an unstable periodic orbit embedded in the chaotic attractor. The method is applicable to any chaotic system of the Lur´e type with single nonlinearity

Keywords

chaos; continuous time systems; nonlinear dynamical systems; periodic control; robust control; state estimation; Lur´e form; autonomous systems; chaotic dynamical systems; continuous time systems; dynamic behaviour; robust method; single continuous time signal; single nonlinearity; state equations; unstable periodic orbit; Chaos; Circuit noise; Control systems; Electronic mail; Equations; Extraterrestrial measurements; Feedback control; Noise measurement; Open loop systems; Robust control;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1994. ISCAS '94., 1994 IEEE International Symposium on

Conference_Location

London

Print_ISBN

0-7803-1915-X

Type

conf

DOI

10.1109/ISCAS.1994.409531

Filename

409531