ADAPTIVE ℋ∞ SYNCHRONIZATION OF UNIFIED CHAOTIC SYSTEMS-Reference-Cited by-同舟云学术

ADAPTIVE ℋ∞ SYNCHRONIZATION OF UNIFIED CHAOTIC SYSTEMS

Published:2009-04-10 Issue:09 Volume:23 Page:1157-1169
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

PARK JU H.¹,JI D. H.²,WON S. C.²,LEE S. M.³

Affiliation:

1. Robust Control and Nonlinear Dynamics Laboratory, Department of Electrical Engineering, Yeungnam University, 214-1 Dae-Dong, Kyongsan 712-749, Korea

2. Department of Electronic and Electrical Engineering, Pohang University of Science and Technology, San 31 Hyoja-Dong Pohang 790-784, Korea

3. School of Electronics Engineering, Daegu University, Gyeongsan, Korea

Abstract

In this paper, the problem of adaptive ℋ∞ synchronization for unified chaotic systems with unknown parameter and external disturbance is studied. It is noticed that this unified chaotic system contains the noted Lorentz, Lü and Chen systems. Based on Lyapunov theory and linear matrix inequality (LMI) formulation, the novel feedback controller with adaptive law is established to not only guarantee stable synchronization of both master and slave systems but also reduce the effect of external disturbance to an ℋ∞ norm constraint. A criterion for existence of the controller is given in terms of LMIs. Finally, a numerical example shows the effectiveness of the proposed method.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021798490901934X

Reference22 articles.

1. Synchronization in chaotic systems

2. Controlling chaos

3. Chaos in an effective four-neuron neural network

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