Vibration Control Of A Nonlinear Magnetic Levitation System

The main objective of this book is a mathematical study for mechanical vibrations of a magnetic levitation system described by a nonlinear ordinary differential equation. It is being suggested some forms of active conventional control techniques to suppress such vibrations, then applying the multiple scales perturbation method to solve these nonlinear differential equations approximately. The corresponding frequency-response equations are extracted and plotted at the different system parameters. The obtained graphs are confirmed numerically applying Rung-Kutta algorithm of fourth order. The concluded results are summarized and a comparison of the different control methods is presented. Finally, a list of references is cited.