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To design a control system it is desirable to represent the actual system in mathematical form. So a mathematical representation of a permanent magnet synchronous motor is presented here. The inductances of a PMSM vary as a function of rotor position, the d-q model is commonly used to represent PMSM. The d-q model is obtained to implement the current control in rotor reference frame. A fuzzy logic based speed controller for permanent magnet synchronous motor is proposed and investigated. In the paper the dynamic response of PMSM drive with proposed controller is analyzed for different loading conditions and with various speed.