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Adaptive control of recurrent trajectories based on linearization of Poincaré map. / Fradkov, Alexander; Guzenko, Peter; Pavlov, Alexey.

в: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Том 10, № 3, 03.2000, стр. 621-637.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Fradkov, A, Guzenko, P & Pavlov, A 2000, 'Adaptive control of recurrent trajectories based on linearization of Poincaré map', International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Том. 10, № 3, стр. 621-637. https://doi.org/10.1142/S0218127400000438

APA

Fradkov, A., Guzenko, P., & Pavlov, A. (2000). Adaptive control of recurrent trajectories based on linearization of Poincaré map. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 10(3), 621-637. https://doi.org/10.1142/S0218127400000438

Vancouver

Fradkov A, Guzenko P, Pavlov A. Adaptive control of recurrent trajectories based on linearization of Poincaré map. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2000 Март;10(3):621-637. https://doi.org/10.1142/S0218127400000438

Author

Fradkov, Alexander ; Guzenko, Peter ; Pavlov, Alexey. / Adaptive control of recurrent trajectories based on linearization of Poincaré map. в: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2000 ; Том 10, № 3. стр. 621-637.

BibTeX

@article{1c04733bb686421db37dc81139918efc,
title = "Adaptive control of recurrent trajectories based on linearization of Poincar{\'e} map",
abstract = "The problem of adaptive output feedback control aimed at stabilization of a (periodic or chaotic) goal trajectory is considered. Advantages and drawbacks of chaos control method based on linearization of Poincar{\'e} map (first proposed by Ott, Grebogi and Yorke in 1990) are discussed. It is suggested that the recurrence of the goal trajectory is the key property for applicability of approach. Algorithms of adaptive control based on linearization of controlled Poincar{\'e} map and method of goal inequalities are proposed. It is shown that stabilization of recurrent trajectories is possible under additional controllability-like and observability-like conditions. Examples of stabilization of periodic and chaotic trajectories for forced brusselator and R{\"o}ssler systems are studied by computer simulations.",
author = "Alexander Fradkov and Peter Guzenko and Alexey Pavlov",
year = "2000",
month = mar,
doi = "10.1142/S0218127400000438",
language = "English",
volume = "10",
pages = "621--637",
journal = "International Journal of Bifurcation and Chaos in Applied Sciences and Engineering",
issn = "0218-1274",
publisher = "WORLD SCIENTIFIC PUBL CO PTE LTD",
number = "3",

}

RIS

TY - JOUR

T1 - Adaptive control of recurrent trajectories based on linearization of Poincaré map

AU - Fradkov, Alexander

AU - Guzenko, Peter

AU - Pavlov, Alexey

PY - 2000/3

Y1 - 2000/3

N2 - The problem of adaptive output feedback control aimed at stabilization of a (periodic or chaotic) goal trajectory is considered. Advantages and drawbacks of chaos control method based on linearization of Poincaré map (first proposed by Ott, Grebogi and Yorke in 1990) are discussed. It is suggested that the recurrence of the goal trajectory is the key property for applicability of approach. Algorithms of adaptive control based on linearization of controlled Poincaré map and method of goal inequalities are proposed. It is shown that stabilization of recurrent trajectories is possible under additional controllability-like and observability-like conditions. Examples of stabilization of periodic and chaotic trajectories for forced brusselator and Rössler systems are studied by computer simulations.

AB - The problem of adaptive output feedback control aimed at stabilization of a (periodic or chaotic) goal trajectory is considered. Advantages and drawbacks of chaos control method based on linearization of Poincaré map (first proposed by Ott, Grebogi and Yorke in 1990) are discussed. It is suggested that the recurrence of the goal trajectory is the key property for applicability of approach. Algorithms of adaptive control based on linearization of controlled Poincaré map and method of goal inequalities are proposed. It is shown that stabilization of recurrent trajectories is possible under additional controllability-like and observability-like conditions. Examples of stabilization of periodic and chaotic trajectories for forced brusselator and Rössler systems are studied by computer simulations.

UR - http://www.scopus.com/inward/record.url?scp=0039606534&partnerID=8YFLogxK

U2 - 10.1142/S0218127400000438

DO - 10.1142/S0218127400000438

M3 - Article

AN - SCOPUS:0039606534

VL - 10

SP - 621

EP - 637

JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

SN - 0218-1274

IS - 3

ER -

ID: 88361156