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20182026
most citedA Trajectory-Based Approach to Discrete-Time Flatness

23 citations · 111 across the 26 of their papers we have counts for

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Showing 2022Show all

5 papers · 1 filter

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★ 7 cited

A Flat System Possessing no (x,u)-Flat Output

Conrad Gstöttner, Bernd Kolar, Markus Schöberl

In general, flat outputs of a nonlinear system may depend on the system's state and input as well as on an arbitrary number of time derivatives of the latter. If a flat output whic…

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…