Hybrid Synchronization of Uncertain Generalized Lorenz System by Adaptive Control

This paper investigates hybrid synchronization of the uncertain generalized Lorenz system. Several useful criteria are given for synchronization of two generalized Lorenz systems, and the adaptive control law and the parameter update law are used. In comparison with those of existing synchronization...

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Bibliographic Details
Published in:Journal of control science and engineering 2018-01, Vol.2018 (2018), p.1-5
Main Authors: Zhou, Xinlian, Xu, Yuhua
Format: Article
Language:English
Subjects:
Adaptive control
Chaos theory
Computer simulation
Control stability
Engineering
Fractals
Lorenz system
Mathematical problems
Methods
Model reduction
Neural networks
Parameter estimation
Synchronism
System effectiveness
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Summary:This paper investigates hybrid synchronization of the uncertain generalized Lorenz system. Several useful criteria are given for synchronization of two generalized Lorenz systems, and the adaptive control law and the parameter update law are used. In comparison with those of existing synchronization methods, hybrid synchronization includes full-order synchronization, reduced-order synchronization, and modified projective synchronization. What is more, control of the stability point, complete synchronization, and antisynchronization can coexist in the same system. Numerical simulations show the effectiveness of this method in a class of chaotic systems.
ISSN:1687-5249
1687-5257
DOI:10.1155/2018/5603639