Testing Backward-Flatness of Nonlinear Discrete-Time Systems
Abstract
Despite ongoing research, testing the flatness of discrete-time systems remains a challenging problem. To date, only the property of forward-flatness — a special case of difference-flatness — can be checked in a computationally efficient manner. In this paper, we propose a systematic approach for testing backward-flatness, which is another special case of difference-flatness, and for deriving a corresponding backward-flat output. Additionally, we discuss the relationship between the Jacobian matrices associated with the flat parameterization of backward- and forward-flat systems and illustrate our results by an academic example.
Fields of Study & Subjects
Control and Stability of Dynamical Systems
Control Systems and Identification
Advanced Control Systems Design
Publication details
- Journal / source
- IFAC-PapersOnLine
- Volume
- 60
- Issue
- 1
- Pages
- 37–42
- Publication date
- 1 January 2026
- Language
- EN