Distributed Parameter Modeling and Control of Electromagnetic Molding Machine

In this paper, we propose a mathematical model for an electromagnet placed inside a molding machine and design a PI controller for this system. The eddy currents inside the electromagnet are a spatially-distributed phenomenon that is difficult to capture by using finite-dimensional systems. First, based on an expression of the system as partial differential equations, we analyze essential properties of the system. From the analysis, we derive a suitable model for a control system design in the frequency domain. Second, we propose a new loop shaping technique that utilizes GKYP lemma for this system.