Title :
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
fDate :
4/1/1998 12:00:00 AM
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;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
