2017/11/07 by Alexey Bobtsov, Bobtsov, Alexey, Anton A. Pyrkin +5 · 1 citation
Engineering · #Adaptive Control of Nonlinear Systems #FOS: Electrical engineering #Inertial Sensor and Navigation #Magnetic Bearings and Levitation Dynamics #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1711.02733
openalex publication_date 2017/11/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
In this paper we address the problem of state observation for sensorless control of nonlinear magnetic levitation systems, that is, the regulation of the position of a levitated object measuring only the voltage and current of the electrical supply. Instrumental for the development of the theory is the use of parameter estimation-based observers, which combined with the dynamic regressor extension and mixing parameter estimation technique, allow the reconstruction of the magnetic flux. With the knowledge of the latter it is shown that the mechanical coordinates can be estimated with suitably tailored nonlinear observers. Replacing the observed states, in a certainty equivalent manner, with a full information globally stabilising law completes the sensorless controller design. We consider one and two-degrees-of-freedom systems that, interestingly, demand totally different mathematical approaches for their solutions. Simulation results are used to illustrate the performance of the proposed schemes.