Flat Systems

Lecturer Prof. Dr.-Ing. Oliver Sawodny
Semester Winter
Credit Points
Language English
Schedule Monday 10:00-11:30 Uhr in room 1.01 (Waldburgstr. 19)
Monday 11:35-13:05 Uhr in room 1.01 (Waldburgstr. 19)
Contact Florentin Rauscher, M.Sc.
Stefan Schaut, M.Sc.
ILIAS course Flat Systems


  • The first lecture in WS 17/18 will take place on Monday, 23.10.2017.
  • For further informations, please check the Ilias system
  • The concept of differential flatness offers a new approach to model based control of linear and nonlinear systems, including trajectory planning and the design of feedforward and feedback controls. It has been successfully applied in various applications such as the control of electric or pneumatic drives, cranes, inverted pendulums or process control systems.

    The lecture “Flat Systems” introduces the concept of differential flatness for linear time invariant, linear time variant and nonlinear SISO and MIMO systems. It provides methods and tools for the design of two-degree-of-freedom control systems for asymptotic tracking, consisting of a feedforward control and a stabilizing feedback control. The theoretical concepts are illustrated by selected real-world examples.

    The lectures “Einführung in die Regelungstechnik“ and „Konzepte der Regelungstechnik“ or equivalent knowledge of system dynamics and control theory are required as a prerequisite.

  • There will be a written exam (120 min.).
  • Further course material and exercise sheets will be provided on the ILIAS system. The password will be announced in the first lecture.

  • ISIDORI, A.: Nonlinear Control Systems (3rd Edition). Springer-Verlag 1995.
  • ROTHFUSS, R.: Anwendung der flachheitsbasierten Analyse und Regelung nichtlinearer Mehrgrößensysteme. Fortschrittberichte Nr. 8/664, VDI–Verlag 1997.
  • RUDOLPH, J.: Beiträge zur flachheitsbasierten Folgeregelung linearer und nichtlinearer Systeme endlicher und unendlicher Ordnung. Shaker Verlag 2003.
  • LÉVINE, J.: Analysis and Control of Nonlinear Systems – A Flatness–based Approach. Springer 2009.