LINEARIZATION AND OPTIMAL CONTROL FLOW IN ELECTROMAGNETIC BALL SUSPENSION SYSTEM
The electromagnetic ball suspension systems (EMBSS) have many applications especially in transport for high speed (Magnetic Levitation Trains) [Yadav et al.,
2013]. It is impressive to observe a ball suspended in air without any support and while attracting many researchers. The aim of this research is to investigate the
controllability and observability [Sontag, 2013] of the system and stability of the solution of the system. We perform a technique of optimization, known as linear
quadratic regulator (LQR) [Basile and Marro, 1992] to find the optimal control input of the system. It is found that the EMBSS is both controllable and observable. Stability is guaranteed under certain conditions. The optimal control for EMBSS is performed adequately on both linearized models.