activity
20192022
most citedA Trajectory-Based Approach to Discrete-Time Flatness

23 citations · 50 across the 8 of their papers we have counts for

collaborators

8 papers

math.OC2022

Discrete-time Flatness and Linearization along Trajectories

Bernd Kolar, Johannes Diwold, Conrad Gstöttner +1

The paper studies the relation between a nonlinear time-varying flat discrete-time system and the corresponding linear time-varying systems which are obtained by a linearization al…

math.DS2022★ 8 cited

Flatness Analysis for the Sampled-data Model of a Single Mast Stacker Crane

Johannes Diwold, Bernd Kolar, Markus Schöberl

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 transformatio…

math.DS2022

Discrete-time Flatness-based Controller Design using an Implicit Euler-discretization

Johannes Diwold, Bernd Kolar, Markus Schöberl

In this contribution, we present a constructive method to derive flat sampled-data models for continuous-time flat systems through an implicit Euler-discretization. We show how the…

math.OC2022★ 2 cited

On the Exact Linearization and Control of Flat Discrete-time Systems

Bernd Kolar, Johannes Diwold, Conrad Gstöttner +1

The paper addresses the exact linearization of flat nonlinear discrete-time systems by generalized static or dynamic feedbacks which may also depend on forward-shifts of the new in…

eess.SY2021

Discrete-time Flatness-based Control of a Gantry Crane

Johannes Diwold, Bernd Kolar, Markus Schöberl

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…

math.DG2020★ 23 cited

A Trajectory-Based Approach to Discrete-Time Flatness

Johannes Diwold, Bernd Kolar, Markus Schöberl

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 c…

math.DS2020★ 3 cited

A Normal Form for Two-Input Flat Nonlinear Discrete-Time Systems

Johannes Diwold, Bernd Kolar, Markus Schöberl

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…

math.OC2019★ 14 cited

Differential-Geometric Decomposition of Flat Nonlinear Discrete-Time Systems

Bernd Kolar, Markus Schöberl, Johannes Diwold

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