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arXiv · 2510.27380

Flatness of Two-Input Discrete-Time Systems and their Linearization

Johannes Schrotshamer·Bernd Kolar·Markus Schöberl
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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.

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Johannes Schrotshamer, Bernd Kolar, Markus Schöberl. 2025-10-31. Flatness of Two-Input Discrete-Time Systems and their Linearization. https://arxiv.org/abs/2510.27380

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