Notch Filter Feedback Control of a Chaotic System
Notch Filter Feedback Control of a Chaotic System1
Amit M. Athalye2
Walter J. Grantham
Department of Mechanical and Materials Engineering
Washington State University
Pullman, Washington 99164-2920
Abstract
A recent method for suppressing chaos uses time-varying perturbations in
accessible system parameters. A new method is presented here using a notch
filter output feedback, with fixed controller parameters and without
affecting the original system parameters. The motivation for using a notch
filter in the feedback is to disturb the balance of power dynamically at the
lower end of the participating frequencies in the power spectrum. To select
the controller parameters, both a harmonic balance method and a numerical
optimal parameter selection scheme are presented to choose the notch filter
parameters to achieve desired k-period motions. The procedures are tested
on Duffing's oscillator with a notch filter feedback. It is shown that not
only can chaotic motion be transformed into k-period motion, but also that
the resulting controller is robust with respect to changes in the forcing
amplitude.
1 -- Athalye, A.M., and Grantham, W.J., "Notch Filter Feedback Control of a Chaotic System," Proc. Amer. Control Conf.,
Seattle, WA, June 1995.
2 -- Currently at: Relsys Int'l., Inc., 2 Venture, Suite 400, Irvine, CA 92718
This article is available in Adobe .PDF: nf_acc95.pdf
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