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


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
Your Session has timed out. Please sign back in to continue.





Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In