Control of chaos: methods and applications in mechanics.
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.
Fradkov
Alexander L
AL
Institute for Problem of Mechanical Engineering, Russian Academy of Sciences, 61, Bolshoy, VO 199178 St Petersburg, Russia. alf@control.ipme.ru
Evans
Robin J
RJ
Andrievsky
Boris R
BR
D000465:Algorithms; D003198:Computer Simulation; D005246:Feedback; D007700:Kinetics; D019563:Mechanics; D017711:Nonlinear Dynamics; D013598:Systems Theory