Synchronization of different-order chaotic systems: Adaptive active vs. optimal control

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• 作者：Foroogh Motallebzadeh^a ; ^{fmotallebzadeh@ee.iust.ac.ir} ; ^{foroogh_mz@yahoo.com} ; Mohammad Reza Jahed Motlagh^a ; ¹ ; ^{jahedmr@iust.ac.ir} ; Zahra Rahmani Cherati^b ; ^{zrahmani@nit.ac.ir}
• 关键词：Nonlinear adaptive control ; Reduced-order synchronization ; Optimal control ; Neural system
• 刊名：Communications in Nonlinear Science and Numerical Simulation
• 出版年：2012
• 期刊代码：89_10075704
• 类别：ph
• 出版时间：September, 2012
• 卷：17
• 期：9
• 页码：3643-3657
• 文件大小：2101 K

摘要

In this paper, an adaptive algorithm is proposed for synchronization of chaotic systems with different orders. A modular adaptive control strategy is applied to make states of the slave system track those of the master, despite the unknown parameters. One of the most advantages of the modularity approach, which is applied for the first time in chaos synchronization, is its flexibility in choosing identification and control modules and designing them completely independently. In this paper, a modified recursive least square algorithm is used to identify the unknown parameters of the slave system, and the control module is designed by means of two different algorithms. First it is designed based on active control method, and then, in order to synchronize with a lower energy, we design an optimal controller. The two methods are applied on a practical case study, and the results are compared. Two different dimensional neuron models, the HR neuron model and the cable model of cylindrical cell, are considered as the master and slave systems, respectively. Simulation results confirm the effectiveness of the proposed method.