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20202024
most citedA Structurally Flat Triangular Form Based on the Extended Chained Form

12 citations · 42 across the 10 of their papers we have counts for

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10 papers

math.DS2024★ 2 cited

A Triangular Normal Form for x-Flat Control-Affine Two-Input Systems

Conrad Gstöttner, Bernd Kolar, Markus Schöberl

This paper is devoted to normal forms for x-flat control-affine systems with two inputs. We propose a general triangular normal form which contains several other normal forms discu…

math.DS2024★ 2 cited

On the Exact Linearization of Minimally Underactuated Configuration Flat Lagrangian Systems in Generalized State Representation

Georg Hartl, Conrad Gstöttner, Bernd Kolar +1

In this paper, we examine the exact linearization of configuration flat Lagrangian control systems in generalized state representation with p degrees of freedom and p-1 control inp…

math.DS2023★ 4 cited

Exact Linearization of Minimally Underactuated Configuration Flat Lagrangian Control Systems by Quasi-Static Feedback of Classical States

Georg Hartl, Conrad Gstöttner, Bernd Kolar +1

We study the exact linearization of configuration flat Lagrangian control systems with p degrees of freedom and p-1 inputs by quasi-static feedback of classical states. First, we p…

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★ 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.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…

math.OC2021★ 4 cited

Tracking Control for -Flat Systems by Quasi-Static Feedback of Classical States

Conrad Gstöttner, Bernd Kolar, Markus Schöberl

It is well known that for flat systems the tracking control problem can be solved by utilizing a linearizing quasi-static feedback of generalized states. If measurements (or estima…

math.DS2020★ 3 cited

A Finite Test for the Linearizability of Two-Input Systems by a Two-Dimensional Endogenous Dynamic Feedback

Conrad Gstöttner, Bernd Kolar, Markus Schöberl

We propose an algorithmic test to check whether a two-input system is linearizable by an endogenous dynamic feedback with a dimension of at most two. This test furthermore provides…

math.DS2020★ 12 cited

A Structurally Flat Triangular Form Based on the Extended Chained Form

Conrad Gstöttner, Bernd Kolar, Markus Schöberl

In this paper, we present a structurally flat triangular form which is based on the extended chained form. We provide a complete geometric characterization of the proposed triangul…

math.DS2020★ 6 cited

On a Flat Triangular Form Based on the Extended Chained Form

Conrad Gstöttner, Bernd Kolar, Markus Schöberl

In this paper, we present a structurally flat triangular form which is based on the extended chained form. We provide necessary and sufficient conditions for an affine input system…