For discrete-time systems, flatness is usually defined by replacing the time-derivatives of the
well-known continuous-time definition by forward-shifts. With this definition, the class of flat …

This article addresses the design of a discrete-time flatness-based tracking control for a
gantry crane and demonstrates the practical applicability of the approach by measurement …

We prove that every flat nonlinear discrete-time system can be decomposed by coordinate
transformations into a smaller-dimensional subsystem and an endogenous dynamic …

In this article, we show that the flatness of a nonlinear discrete-time system can be checked
by computing a unique sequence of involutive distributions. The well-known test for static …

This letter addresses flatness of discrete-time systems called difference flatness. A definition
of flatness, that encompasses the standard ones, in particular backward and forward …

The development of the port-Hamiltonian (PH) approach in the past three decades led to a
structured, energy-based framework for modeling, systemtheoretic analysis and control of …

This paper addresses difference flatness for structured LTI discrete-time systems. Two forms
of necessary and sufficient conditions for an output to be a structural flat output are given …

We show that the Euler-discretization of the nonlinear continuous-time model of a single
mast stacker crane is flat. The construction of the flat output is based on a transformation of a …

The problem of flat output characterization for switched linear discrete-time systems is
addressed. First, an algebraic condition for an output to be flat is provided. It applies for I-flat …

In this paper, a novel solution is proposed for verifying difference flatness of a nonlinear
discrete-time control system. A necessary and sufficient condition is proved under which a …