Abstract:
In this thesis, a non- linear mathematical model of the Magnetic Levitation System has been presented. This modelling consists of the electromagnetic and the mechanical subsystems. The complete system consists of a ferromagnetic ball suspended in a voltage controlled magnetic field. First of all in this thesis, the state space model has been derived from the system equations. It is found that this non-linear model is inherently an unstable one. Therefore, the linear and non-linear state space controllers have been proposed in order to stabilise the system. In this, linear controller has been designed by linearizing the model about an equilibrium point while the non–linear controller has been designed using the feedback linearization technique where the system is linearized using a non-linear state space transformation and a different choice of co-ordinate systems. The linear and non-linear controllers used have been simulated using MATLAB environment.
