In comparison to traditional Proportional Integral Differential (PID) controllers, the Fractional Order Proportional Integral Differential (FOPID) controllers has attracted greater attention because it has two additional control parameters for tuning. Furthermore, the FOPID controller has a higher level of resilience, better tracking ability, is less susceptible to external disturbances, and has an ISO dampening feature of step response. Various tuning strategies for FOPID controller tuning have been proposed in the literature to improve faster response while minimising steady state error. This paper presents a thorough examination of several strategies for designing PID and FOPID controllers. The settings of a FOPID controller for regulating a field-controlled DC servo motor were estimated using the Genetic Algorithm (GA) technique. The transfer function of a field-controlled DC servo motor is used to evaluate the parameters. Unit step response has been used to evaluate the performance of a GA adjusted FOPID controller built for a field-controlled DC servo motor. The FOPID controller's parameters are also analysed utilising the Simulated Annealing (SA) optimization approach. By comparing the response of a typical PID controller adjusted using the Ziegler Nichols method with a FOPID controller designed using GA and SA techniques, the effectiveness of FOPID controller design using GA and SA approaches has been demonstrated.