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Based on the nonlinear mathematical model of series connected DC motor (SCDM) system dynamics, the analysis and design of two speed controller presented, which are non linear PID and NARMA L-2 controllers. The speed response of motor is observed by giving reference inputs as speed and load torque in terms of step variation. The response of the system using NARMA L-2 Neuro Controller and conventional PID Controller are compared. It was observed that the NARMA L-2 Neuro Controller performance was better in terms of rising time, overshoot and steady state error over non linear PID Controller.