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A Fuzzy-PID controller design technique as an adaptive control is proposed here to control the speed of a permanent magnet stepper motor. This paper shows that the speed of stepper motor can be well controlled by multiplying the fuzzy parameters with the PID parameters instead of adding them. To determine the parameters of the Fuzzy-PID controller, trial and error method as well as the Zeigler-Nichols method is predominantly adopted which is time consuming and does not assure good performance of a system. In this research, computational optimization approach method is proposed to determine the parameters of the Fuzzy-PID controller. In this method, the optimum parameters of the Fuzzy-PID controller are obtained in a very short time with only two to three iterations. The modeling, control and simulation of the system have been done in MATLAB/SIMULINK. According to the simulation results, the performance of the system is found to be very good that is error is completely eliminated, overshoot is minimized to a standard level and the desired speed response of the system is achieved quickly only when the optimum parameters of the Fuzzy-PID controller are used instead of other parameters.