Performances Analysis of Fractional System Using the Fractional Order Adaptive PID Controller

The applications of fractional order systems in a range of scientific fields have caught the attention of researchers, especially in control strategy. The current research work presents the use of the fractional adaptive PID controller approach, optimized by a genetic algorithm, to improve the performances (rise time, setting time, and overshoot) for fractional systems by introducing a fractional order integrator and differentiator in the classical feedback adaptive PID controller. To validate the arguments, the effectiveness and performance analysis of the proposed approach optimized by genetic algorithms have been studied in comparison to the classical adaptive PID controller. Numerical simulation and analysis are presented to verify the best controller. The fractional order adaptive PID gives the best result in terms of settling time, rise time, overshoot, and mean absolute error.