Flatness of Two-Input Discrete-Time Systems and their Linearization
Optimization and Control
2025-11-03 v1
Abstract
In this contribution we discuss flat discrete-time nonlinear systems in a general setting including two special subclasses, namely, forward- and backward-flat systems. We relate rank conditions for certain submatrices of the Jacobian of the flat parameterization to the mentioned subclasses. Motivated by these rank conditions, for the case of two-input systems that possess an (x,u)-flat output, we derive a simple type of dynamic extension for the purpose of an exact linearization.
Cite
@article{arxiv.2510.27380,
title = {Flatness of Two-Input Discrete-Time Systems and their Linearization},
author = {Johannes Schrotshamer and Bernd Kolar and Markus Schöberl},
journal= {arXiv preprint arXiv:2510.27380},
year = {2025}
}