The invention discloses a control system and a control method for a permanent magnet synchronous motor, which belong to the field of motor control. A torque given value Te<*> and a flux linkage given value psis<*> are firstly calculated; through acquiring current and voltage at a stator end, the feedback torque Te, the stator flux linkage psis and the flux linkage angle thetas are calculated and obtained; the given value is then compared with the feedback value, the obtained torque error and the flux linkage error are inputted to a fuzzy controller for fuzzy processing, and a variable C is outputted; and finally, the outputted variable C and the stator flux linkage psis and the flux linkage angle thetas obtained through calculation are inputted to a neural network control module, an inverter circuit obtains a corresponding switch-on state, and the corresponding voltage value is outputted to control the motor. Fuzzy processing is firstly carried out on the inputted stator flux linkage and the electromagnetic torque, the neural network is then applied to table query, the harmonic component of stator current, the torque pulsation and the stator flux linkage pulsation quantity are reduced while quick and dynamic response is kept.