Fuzzy generalized synchronization between non-smooth-air-gap and smooth-air-gap PMSM chaotic systems with channel delay

The generalized synchronization problem between non-smooth-air-gap and smooth-air-gap PMSM chaotic systems is studied in this paper. In addition, the channel delay is considered in the realization of the chaotic synchronization. Firstly, the non-smooth-air-gap PMSM chaotic system and the smooth-air-gap PMSM chaotic system are represented by the T-S fuzzy models without any modeling error. Then, a simple fuzzy state feedback controller is designed based on the parallel distributed compensation technique. By virtue of the definition of lag synchronization and fuzzy control idea, the asymptotical synchronization is realized by choosing appropriate controller gain matrices. Finally, an illustrative example is presented to demonstrate the effectiveness of the proposed fuzzy synchronization method.