Work

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

Year: 2025

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2510.27380

Authors: Schrotshamer, Johannes, Kolar, Bernd, Schöberl, Markus

Topic: Control and Stability of Dynamical Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4415923633

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