Operating Frequency Enhancement of Magnetic levitation system using fractional order $PI^{\lambda}D^{\mu}$ Controller: Design and Tuning

Magnetic Levitation System (MLS) is a challenging system as it is an open loop unstable system, but it has varied applications in various fields. In this paper, a fractional order controller for operating frequency enhancement of such a system is proposed. First the mathematical model of MLS was derived for tuning of the FOPID controller. Using this a graphical tuning method using frequency domain specification has been proposed to tune the fractional parameters. In order to validate the superiority of the proposed controller scheme, the simulation was done for which the FOMCON toolbox in MATLAB was used. The comparative results showed a significant improvement in the operating frequency, maintaining a low steady-state error and peak overshoot with respect to a PID controller.