OPF chaos control in a circuit containing a feedback voltage pulse generator

Author

Inaba, Naohiko ; Nitanai, Takashi

Author_Institution

Dept. of Inf. Sci., Utsunomiya Univ., Japan

Volume

45

Issue

4

fYear

1998

fDate

4/1/1998 12:00:00 AM

Firstpage

473

Lastpage

480

Abstract

In this paper, we discuss occasional proportional feedback (OPF) chaos control in a circuit containing a feedback voltage pulse generator. First, we show that the Poincare map of this oscillator without the chaos control is derived rigorously as a one-dimensional mapping. This mapping satisfies Li-Yorke´s extended period three condition (1975). Hence, the mapping has an n-periodic point for any natural number n, and the appearance of chaos in Li-Yorke´s sense is explained. Furthermore, OPF for piecewise-linear systems is applied to this oscillator. Each unstable orbit can be stabilized, and periodic orbits with one to ten periods are successfully stabilized in circuit experiments

Keywords

chaos; circuit stability; feedback oscillators; nonlinear network analysis; piecewise-linear techniques; proportional control; pulse generators; Li-Yorke extended period three condition; OPF chaos control; Poincare map; circuit stabilization; feedback voltage pulse generator; n-periodic point; occasional proportional feedback; one-dimensional mapping; oscillator; piecewise-linear system; unstable periodic orbit; Chaos; Control systems; Feedback circuits; Logistics; Piecewise linear techniques; Proportional control; Pulse amplifiers; Pulse generation; Voltage control; Voltage-controlled oscillators;

fLanguage

English

Journal_Title

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

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.669071

Filename

669071