Designing Two-Dimensional Magnetic Levitation Control System

Abstract

This thesis presents the design of two-dimensional axis magnetic lavitation control system. An object should be able to levitate purely with magnetics fields. In order to produce a stable output and allwo movement of the levitated object between two solenoids around, a two-dimensional classical feedback control may be utilized. This is accomplished by developingstate space equations to model one- and two-dimensional magnetic lavitation. Since the system is nonlinear and open-loop unstable, it should be linearized around a set point.The stability is analyzed around possible equilibrium point in the sense of the qualitative behavior of the system and Lyapunov stability. A control startagy is developed for levitating the object purely in the vertical components with magnetic fields and allows movement in the horizontal components between two solenoids around a two-dimensional space. Negative feedback and lead compensators based on the linearized model of the two dimensional magnetic levitation system are designed to stablize the system. MATLAB is used in designing and simulating the system.