A Normal Form for Two-Input Flat Nonlinear Discrete-Time Systems
Dynamical Systems
2021-04-19 v1 Differential Geometry
Optimization and Control
Abstract
We show that every flat nonlinear discrete-time system with two inputs can be transformed into a structurally flat normal form by state- and input transformations. This normal form has a triangular structure and allows to read off the flat output, as well as a systematic construction of the parameterization of all system variables by the flat output and its forward-shifts. For flat continuous-time systems no comparable normal form exist.
Cite
@article{arxiv.2004.09437,
title = {A Normal Form for Two-Input Flat Nonlinear Discrete-Time Systems},
author = {Johannes Diwold and Bernd Kolar and Markus Schöberl},
journal= {arXiv preprint arXiv:2004.09437},
year = {2021}
}