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. (c) 2021 Elsevier Inc. All rights reserved.

Automated summary

In this study, an adapting H-infinity controller is introduced to combine adapting and H-infinity strategies for the desired reference tracking of the sphere position in the Maglev process. The adapting strategy is used for unknown dynamics estimation, while the H-infinity strategy is used for desired reference tracking, satisfying error convergence and H-infinity criterion using Lyapunov technique. Two simulations demonstrate the effectiveness of the method for desired reference tracking of the sphere position in the Maglev process.