This report, Inferential Iterative Learning Control with Basis Functions: Application in Wide Format Media Handling, is a traineeship report within the Control Systems Technology Group of the faculty of Mechanical Engineering at the Eindhoven University of Technology. Research is performed at Océ Technologies B.V. in Venlo under supervision of prof. Dr. Ir. M. Steinbuch, Dr. ir. S.H. Koekebakker and Ing. S. Winteraeken. The focus of this report is on designing an intelligent media handling controller that minimizes interactions between the media loading and media positioning. Iterative Learning Control (ILC) has proven to be successful in increasing performance in industrial applications with repetitive tasks, a shortcoming of ILC is howeve...