Eddy-Current Levitation Stabilization

Design and construct an active electromagnetic suspension system capable of maintaining a stable equilibrium for a conductive disk using only passive eddy-current damping and a feedback-controlled solenoid. You must characterize the magnetic field gradient and tune your PID controller parameters to minimize low-frequency oscillation within a 20mm air gap. The final validation requires demonstrating sustained levitation while applying a controlled mechanical perturbation to the disk.