Computation Of Stabilizing PID Controllers For Magnetic Levitation System With Parametric Uncertainties

Abstract

The growing demand of light weight technology, cabin comfort, and better emission control and stability of the vehicles led to the increasing concern towards air magnetic suspension systems. Due to the high nonlinearity in the modeling process of such kind of systems, the stabilizing of magnetic levitation has been considered as a challenging task for many researchers in control engineering sector. This paper illustrates the calculating of all stabilizing PID controller gains for ED-4810 magnetic levitation system benchmark (Maglev) in the presence of uncertain parameters. Firstly, the linearized model of the uncertain plant is derived where the resultant characteristic polynomial is shown to be an unstable affine structure using Zero Exclusion Theorem and singular frequencies technique. Then all PID parameters values are demonstrated to establish robust stability using parameter space approach. The effectiveness of the proposed graphical method has been proved through simulation to achieve robust stability for magnetic levitation system.