We present a plasmonic switch based on anisotropic structure consisting of graphene and silicon layers, like one-dimensional photonic crystal. The plasmonic wave in this switch is propagated inside the MgF2 core surrounded by two periodic arrays of graphene / silicon. Changing the chemical potential of graphene leading to the change of permittivity of anisotropic array, we can adjust the propagation length of plasmonic wave. The obtained results show that, at the frequency of 30 THz with adjusting the chemical potential of graphene, the chemical potential of 0.4 eV and 0.2 eV can be obtained for the ON_state and OFF state, respectively. Also, the ON/OFF ratio is about 24.