In the manufacturing field it happens that products are processed by high-speed production lines. They pass through different machines in order to be processed, according to a pre-established order, resting on moving supports. Usually they do not stop during this process: rather, the machines are able to track and handle them while they are moving. The advantages of this kind of process stem from the continuous motion of the product, that results in an increased productivity since there is no downtime during the production. As a consequence, the tracking of goods is widely adopted to process, to manipulate and to package the products. As reported in literature, strong effort is being directed at the development of an effective control system allowing for the synchronization of the operations and the detection of the position of the incoming products. All of these systems are generally called "cutting systems on the fly". For the design and the setup of these systems, it is critical to have a tool to simulate and analyse the behaviour of the machine. This article proposed a systemic approach to model the main elements that characterize such systems aimed to develop the most effective control strategy to improve the performance of the machine. The simulation tool allows to predict the behaviour of the machine and to test different control strategies.