Adapting H-infinity controller for the desired reference tracking of the sphere position in the maglev process

The Maglev process consists in a magnetic field geerated by the modulation of a coil current which yields the sphere levitation. Foucault current is the current transmitted from the coil to a sphere in the Maglev process which yields the undesired sphere vibrations. In this study, an adapting H-infinity controller is introduced as the combination of the adapting and H-infinity strategies for the desired reference tracking of the sphere position in the Maglev process. The adapting strategy is used for the unknown dynamics estimation, and the H-infinity strategy is used for the desired reference tracking. The Lyapunov technique is used to satisfy the error convergence and the H-infinity criterion. Two simulations show the effectiveness of the considered method for the desired reference tracking of the sphere position in the Maglev process.