Permanent magnet synchronous motors (PMSM) are widely used in industrial drives due to their simple structure, high efficiency and high factor. Variable speed system of PMSM based on vector has owed an important position where has seriously requirement for celerity and precision. Firstly, the controlling characteristics and working principles of PMSM are analyzed, and the PMSM precision mathematical models are established based on the dq reference coordinates by strict analysis and calculation. The fuzzy model reference adaptive control method uses the fuzzy basis function expansion to represent the unknown parameters and change the identification problem from identifying the original unknown parameters to identifying the coefficients of fuzzy basis function expansion. The stability and convergence properties of the controller are ensured. The results of the simulation based on Matlab and dSPACE experiment show the fuzzy adaptive speed controller has high control and parameter track performance