Fuzzy sliding mode projective synchronization of HX-type hyperchaotic Liu system with disturbances

In this paper, we first give the HX-type hyperchaotic Liu system based on fuzzy inference modelling. Then for the switching system with disturbaces, we theoretically investigate the projective synchronization by using active sliding mode control. For weakening chattering phenomenon, a fuzzy system is introduced. Numerical simulations are provided to verify the effectiveness of the control methods. By comparison of the numerical results, the fuzzy sliding mode control can weaken chattering effectively.