TY - JOUR

T1 - Control of chaos

T2 - Methods and applications in mechanics

AU - Fradkov, Alexander L.

AU - Evans, Robin J.

AU - Andrievsky, Boris R.

PY - 2006/9/15

Y1 - 2006/9/15

N2 - 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.

AB - 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.

KW - Chaotic systems

KW - Mechanical systems

KW - Nonlinear control

UR - http://www.scopus.com/inward/record.url?scp=33748292843&partnerID=8YFLogxK

U2 - 10.1098/rsta.2006.1826

DO - 10.1098/rsta.2006.1826

M3 - Review article

C2 - 16893789

AN - SCOPUS:33748292843

VL - 364

SP - 2279

EP - 2307

JO - Philosophical transactions. Series A, Mathematical, physical, and engineering sciences

JF - Philosophical transactions. Series A, Mathematical, physical, and engineering sciences

SN - 0962-8428

IS - 1846

ER -