Fractional Order Controller Design for Fractional Order Chaotic Synchronization

Abstract

This paper describes the fractional order proportional integrated derivation (FOPID) controller for synchronization between two
fractional order chaotic systems. For performance test of the synchronization controller, controller was applied to chaotic communication
system. Chaotic masking that one of the chaotic communication methods has two chaotic systems, and the systems must be synchronized.
FOPID controller has some disadvantages that tuning of parameters and orders are difficult. For the disadvantage, FAPSO can used to tune
the parameters of FOPID. The FAPSO method utilizes fuzzy set theory, in order to determine acceleration coefficient adaptability in particle
swarm optimization. FAPSO is one of the fast optimization methods in literature. According to the results in the paper and the other papers in
the literature, FOPID control method and the algorithm are able to produce correct results. The advantage of the proposed method is provided
fast synchronization and recovery time.