||A dynamic span model and associated control strategy for roll transport systems for sheet-type materials (Part I)
A dynamic span model and associated control strategy for roll transport systems for sheet-type materials (Part I)
55 , 2015-04-01 , 新潟国際情報大学情報文化学部
In this study, we propose a mathematical model of the tension occurring at stands between rolls in a roll transport system, and then we propose an optimal control system. The model is a distributed parameter model described by a partial differential equation (PDE). The PDE is derived from particular equilibrium conditions, which balance spatial forward deviation at a stand between rolls and temporal variation of tension. To build a realistic system, we utilized an optimal regulator theory derived by converting a PDE to an ordinary differential equation in a functional space. As a result, the proposed system is highly feasible.