Adaptive finite-time synchronization of cross-strict feedback hyperchaotic systems with parameter uncertainties

Hai-Yan Li; Yun-An Hu; Rui-Qi Wang

Kybernetika (2013)

  • Volume: 49, Issue: 4, page 554-567
  • ISSN: 0023-5954

Abstract

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This paper is concerned with the finite-time synchronization problem for a class of cross-strict feedback underactuated hyperchaotic systems. Using finite-time control and backstepping control approaches, a new robust adaptive synchronization scheme is proposed to make the synchronization errors of the systems with parameter uncertainties zero in a finite time. Appropriate adaptive laws are derived to deal with the unknown parameters of the systems. The proposed method can be applied to a variety of chaotic systems which can be described by the so-called cross-strict feedback systems. Numerical simulations are given to demonstrate the efficiency of the proposed control scheme.

How to cite

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Li, Hai-Yan, Hu, Yun-An, and Wang, Rui-Qi. "Adaptive finite-time synchronization of cross-strict feedback hyperchaotic systems with parameter uncertainties." Kybernetika 49.4 (2013): 554-567. <http://eudml.org/doc/260744>.

@article{Li2013,
abstract = {This paper is concerned with the finite-time synchronization problem for a class of cross-strict feedback underactuated hyperchaotic systems. Using finite-time control and backstepping control approaches, a new robust adaptive synchronization scheme is proposed to make the synchronization errors of the systems with parameter uncertainties zero in a finite time. Appropriate adaptive laws are derived to deal with the unknown parameters of the systems. The proposed method can be applied to a variety of chaotic systems which can be described by the so-called cross-strict feedback systems. Numerical simulations are given to demonstrate the efficiency of the proposed control scheme.},
author = {Li, Hai-Yan, Hu, Yun-An, Wang, Rui-Qi},
journal = {Kybernetika},
keywords = {finite-time synchronization; cross-strict feedback hyperchaotic system; backstepping; adaptive control; finite-time synchronization; cross-strict feedback hyperchaotic system; backstepping; adaptive control},
language = {eng},
number = {4},
pages = {554-567},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Adaptive finite-time synchronization of cross-strict feedback hyperchaotic systems with parameter uncertainties},
url = {http://eudml.org/doc/260744},
volume = {49},
year = {2013},
}

TY - JOUR
AU - Li, Hai-Yan
AU - Hu, Yun-An
AU - Wang, Rui-Qi
TI - Adaptive finite-time synchronization of cross-strict feedback hyperchaotic systems with parameter uncertainties
JO - Kybernetika
PY - 2013
PB - Institute of Information Theory and Automation AS CR
VL - 49
IS - 4
SP - 554
EP - 567
AB - This paper is concerned with the finite-time synchronization problem for a class of cross-strict feedback underactuated hyperchaotic systems. Using finite-time control and backstepping control approaches, a new robust adaptive synchronization scheme is proposed to make the synchronization errors of the systems with parameter uncertainties zero in a finite time. Appropriate adaptive laws are derived to deal with the unknown parameters of the systems. The proposed method can be applied to a variety of chaotic systems which can be described by the so-called cross-strict feedback systems. Numerical simulations are given to demonstrate the efficiency of the proposed control scheme.
LA - eng
KW - finite-time synchronization; cross-strict feedback hyperchaotic system; backstepping; adaptive control; finite-time synchronization; cross-strict feedback hyperchaotic system; backstepping; adaptive control
UR - http://eudml.org/doc/260744
ER -

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