Fuzzy Synchronization Control for Fractional-Order Chaotic Systems With Different Structures

• Main Authors: Jin Xu, Ning Li, Xiulan Zhang, Xiaoli Qin
• Format: Article
• Language: English
• Published: Frontiers Media S.A. 2020-05-01
• Series: Frontiers in Physics
• Subjects: adaptive fuzzy control; fractional-order chaotic system; fractional-order adaptation; chaos synchronization; fuzzy logic system
• Online Access: https://www.frontiersin.org/article/10.3389/fphy.2020.00155/full

This paper discusses the synchronization problem for a class of unknown fractional-order chaotic systems (FOCSs) with indeterminate external disturbances and non-symmetrical control gain. A paralleled adaptive fuzzy synchronization controller is constructed in which indeterminate non-linear functions are approximated by the fuzzy logic systems depending on fractional-order Lyapunov stability criteria and the fractional-order parameter adaptive law is designed to regulate corresponding parameters of the fuzzy systems. The proposed method guarantees the boundedness of all of the signals in the closed-loop system, and at the same time, it ensures the convergence of the synchronization error between the master and slave FOCSs. Finally, the feasibility is demonstrated by simulation studies.