Stabilization of the lateral dynamics of a roll-to-roll WEB system

In this paper, we design an observer-based stabilizing controller for a web transport system to asymptotically stabilize the full state. Our results are achieved by analyzing system dynamics in the following manner: we first review the Timoshenko model to describe the web between two rollers and the extension to a multi-roll system. Then, we show that the system is both stabilizable and detectable by examining the uncontrollable and unobservable modes. A simulation study is conducted to demonstrate the results of the controller and observer.