An adaptive method to parameter identification and synchronization of fractional-order chaotic systems with parameter uncertainty

作者：Behinfaraz Reza; Badamchizadeh Mohammadali^*; Ghiasi Amir Rikhtegar

来源：Applied Mathematical Modelling, 2016, 40(7-8): 4468-4479.

DOI：10.1016/j.apm.2015.11.033

• System identification
• Fractional-order chaotic system
• Recursive least square
• Synchronization

In this paper, parameters of a fractional-order chaotic system are identified via a robust recursive error prediction method in presence of uncertainty. A generalized ARX structure has obtained by discretization of a continuous fractional-order differential equation defines the identification model. After identifying parameters of system, we use concept of active control method to synchronize two identified fractional-order chaotic systems. The validity of results are demonstrated through an example and also compared with other method.

• 出版日期2016-4