Explicit Parametric Solution to Observer-Based Control of Self-Sensing Magnetic Bearings

Abstract

This paper is concerned with the control of a position-sensorless, voltage-controlled active magnetic bearing system using a full-order observer-based state feedback controller. Using the eigenstructure assignment technique, explicit parametric formulae in direct closed forms are proposed for the state feedback gain K and the observer gain L, as well as the eigenvectors of the state feedback control system and the observer system. These formulae are in terms of the system physical parameters and the controller and observer poles. Applications of these formulae in some robustness issues are discussed.