Chaos synchronization of multi-scroll Chua system via fractional order hybrid feedback controller

In this paper, a fractional order hybrid feedback controller has been proposed to synchronize the chaotic system. The fractional controller converts the system behavior with integer derivatives into a system with fractional derivatives. This increases the degree of freedom of the system by means of providing the stability. In addition, an integer hybrid feedback controller is used to decrease the time of synchronization. The proposed controller makes use of the good of both integer and fractional order controllers. The performance of the controller is shown via numerical simulation when it is used to synchronize the multi-scroll Chua system.