October 9, 2025
View Full PaperDifferential Flatness of Mechanical Control Systems: A Catalog of Prototype Systems
Key Points
- Differential flatness allows for the generation of effective control strategies in nonlinear systems, enhancing system operations.
- The use of geometric information in mechanical control systems offers unique properties that improve their controllability and performance.
- Worked examples illustrate the application of differential flatness techniques, providing valuable insights into their practical implications.
- A detailed catalog of known examples of differentially flat mechanical systems is presented, emphasizing their significance in control theory.
Abstract
Abstract This paper describes the application of differential flatness techniques from nonlinear control theory to mechanical (Lagrangian) systems. Systems which are differentially flat have several useful properties which can be exploited to generate effective control strategies for nonlinear systems. For the special case of mechanical control systems, much more geometric information is present and the purpose of this paper is to explore the implications and features of that class of systems. We concentrate on several worked examples which illustrate the general theory and present a detailed catalog of known examples of differentially flat mechanical systems.