Control of chaos: methods and applications in mechanics

Philos Trans A Math Phys Eng Sci. 2006 Sep 15;364(1846):2279-307. doi: 10.1098/rsta.2006.1826.


A survey of the field related to control of chaotic systems is presented. Several major branches of research that are discussed are feed-forward ('non-feedback') control (based on periodic excitation of the system), the 'Ott-Grebogi-Yorke method' (based on the linearization of the Poincaré map), the 'Pyragas method' (based on a time-delayed feedback), traditional for control-engineering methods including linear, nonlinear and adaptive control. Other areas of research such as control of distributed (spatio-temporal and delayed) systems, chaotic mixing are outlined. Applications to control of chaotic mechanical systems are discussed.

Publication types

  • Research Support, Non-U.S. Gov't
  • Review

MeSH terms

  • Algorithms*
  • Computer Simulation
  • Feedback*
  • Kinetics
  • Mechanics*
  • Nonlinear Dynamics*
  • Systems Theory*