Controller Design and Stability Analysis Using State Space Approach for Magnetic Levitation System

In this research endeavor, the primary objective is to craft a dynamic nonlinear model for the Magnetic Levitation System. The proposed approach involves the development of both nonlinear and linear state-space controllers to enhance the system's control mechanisms. The linear controller is meticulously designed through the process of linearization around the equilibrium point. In contrast, the nonlinear controller is formulated following feedback linearization, wherein a nonlinear state-space transformation is adeptly employed to achieve an exact linearization of the system. For the linear controller, a full-state feedback approach is adopted. This design is then rigorously compared with its nonlinear counterpart, which incorporates a full-state feedback mechanism alongside a nonlinear observer. For drawing a conclusion on stability, a Lyapunov stability analysis was performed.