Non-linear dynamics and chaos control for an electromagnetic system

A non-linear mathematical model has been obtained by applying a modified conventional identification technique based on the principle of harmonic balance. In this study, analytical work is carried out on this identified non-linear model by applying the first-harmonic approximation solution and the Floquet theory. The resulting criteria for bifurcations can be used to evaluate the operational range of a system employing such a non-linear actuator. We also employ the method of Lyapunov exponents to show the occurrence of chaotic motion and to verify the above analyses. Finally, various methods, such as the state feedback control and injection of dither signal control are used to control chaos effectively.