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

• An adaptive method is proposed for identification of fractional-order chaotic systems.
• The proposed method can be used for the systems with parameter uncertainty.
• Two fractional-order chaotic systems are synchronized with active control method.
• Illustrative example is provided to show the effectiveness of purposed method.

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.