Control of chaotic systems: Application to the Lorenz equations

S. Talwar, N. Namachchivaya Sri

Research output: Chapter in Book/Report/Conference proceedingConference contribution


The study of chaos and nonlinear dynamics has expanded greatly in recent years. In addition to understanding complicated chaotic dynamics, it is desirable to be able to control such chaotic behavior. Control of the Lorenz equations is studied using two distinct techniques based on nonlinear control theory and nonlinear dynamics. Feedback linearization yields an equivalent linear system by the use of a nonlinear coordinate change and a nonlinear feedback. The normal form technique also requires a nonlinear coordinate transformation and a nonlinear feedback, but results in an approximate equivalent system in which all the nonlinear terms are of higher order than the original system. These two methods along with standard linear control are applied to the Lorenz system. Computer simulations indicate the advantages of nonlinear control techniques over linear control.

Original languageEnglish (US)
Title of host publicationNonlinear Vibrations
PublisherPubl by ASME
Number of pages12
ISBN (Print)0791810925
StatePublished - Dec 1 1992
EventWinter Annual Meeting of the American Society of Mechanical Engineers - Anaheim, CA, USA
Duration: Nov 8 1992Nov 13 1992

Publication series

NameAmerican Society of Mechanical Engineers, Design Engineering Division (Publication) DE


OtherWinter Annual Meeting of the American Society of Mechanical Engineers
CityAnaheim, CA, USA

ASJC Scopus subject areas

  • Engineering(all)


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