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TECHNICAL BRIEFS

Bifurcations and Chaos in a PD-Controlled Pendulum

[+] Author and Article Information
Joaquín Alvarez, Fernando Verduzco

Scientific Research and Advanced Studies Center of Ensenada, B.C., CICESE, Mexico

J. Dyn. Sys., Meas., Control 120(1), 146-149 (Mar 01, 1998) (4 pages) doi:10.1115/1.2801313 History: Received October 01, 1993; Online December 03, 2007

Abstract

The complex dynamics of a pendulum controlled by a Proportional-Derivative (PD) compensator are analyzed. A classification of equilibrium points and the characterization of their bifurcations is also presented. It is shown that the controlled pendulum may exhibit a chaotic behavior when the desired position is periodic and the proportional gain and total dissipation are small enough.

Copyright © 1998 by The American Society of Mechanical Engineers
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