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TECHNICAL BRIEFS

Experimental Evidence for Chaotic Response in a Feedback System

[+] Author and Article Information
M. F. Golnaraghi

Department of Mechanical Engineering, University of Waterloo, Waterloo, Ontario, Canada

F. C. Moon

Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, N.Y.

J. Dyn. Sys., Meas., Control 113(1), 183-187 (Mar 01, 1991) (5 pages) doi:10.1115/1.2896348 History: Received December 12, 1988; Revised January 18, 1989; Online March 17, 2008

Abstract

In this paper, the dynamics of a one-degree-of-freedom mechanical positioning device with nonlinear stiffness and linear feedback are described. Experimental results show that chaotic dynamics can result due to an increase in control gain or shuttle frequency. Adding sufficient damping through velocity feedback gain, however, eliminated the chaos. In some chaotic motions, a one-dimensional delay map was obtained from the experimental time samples. The map was modeled by a piecewise linear function, which suggested that the third-order system might be modeled by a lower dimensional equation.

Copyright © 1991 by The American Society of Mechanical Engineers
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