Trajectory Tracking for the Magnetic Ball Levitation System via Fuzzy PID Control Based on CS Algorithm

This study deals with the design of a magnetic levitation system based on PID type robust fuzzy logic controller (Fuzzy-PID) for improving system dynamics and stability. The proposed controller parameters are optimized with Cuckoo Search (CS) algorithm by minimizing a proposed objective function including the time domain response characteristics. The performance of the proposed controller is evaluated by means of extensive simulations for different conditions such as changes in references and load disturbance. Also, a comparison of this approach, CS based PID and CS based fractional order PID (FOPID) is introduced. The simulation results show that the CS based Fuzzy-PID controller has better performance in terms of overshoot, rise time, settling time and steady state error. Moreover, the disturbance rejection performance is investigated for the tuned controllers. The comparative results reveal that the proposed CS based Fuzzy-PID controller with least control effort performs better as compared to the PID and FOPID controllers.