Modelling and analysis of a web tension control system

The paper describes the mathematical treatments and simulations for an experimental web tension control system. Differential equations for the web dynamics are formulated systematically for the system including a dancer roll to construct the block diagram. The web itself could be expressed in terms of fundamental elements, but it is concluded that the elastic or Maxwell models may not be proper ways to describe it. Simulations are performed on the model which has PI controllers, to clarify the physical phenomena and to see the validity of the mathematical model.