40 citations · 165 across the 25 of their papers we have counts for
16 papers · 1 filter
On the Stability Analysis of Infinite-Dimensional Port-Hamiltonian Systems Within the Variational Framework
Moritz Leitner, Lukas Ecker, Markus Schöberl
This paper addresses the stability analysis of a class of linear infinite-dimensional port-Hamiltonian systems formulated within the variational framework. We derive verifiable con…
On the Exact Linearization of Multi-Input Discrete-Time Flat Systems
Johannes Schrotshamer, Bernd Kolar, Markus Schöberl
In this contribution, we address the exact linearization of forward- and backward-flat discrete-time nonlinear systems with an arbitrary number of inputs. Building on structural pr…
A Dual Geometric Test for Forward-Flatness
Bernd Kolar, Johannes Schrotshamer, Markus Schöberl
Forward-flatness is a generalization of static feedback linearizability and a special case of a more general flatness concept for discrete-time systems. Recently, it has been shown…
Data-driven control and transfer learning using neural canonical control structures*
Lukas Ecker, Markus Schöberl
An indirect data-driven control and transfer learning approach based on a data-driven feedback linearization with neural canonical control structures is proposed. An artificial neu…
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…
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…
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…
Energy-based Control and Observer Design for higher-order infinite-dimensional Port-Hamiltonian Systems
Tobias Malzer, Lukas Ecker, Markus Schöberl
In this paper, we present a control-design method based on the energy-Casimir method for infinite-dimensional, boundary-actuated port-Hamiltonian systems with two-dimensional spati…
Linearized Controllability Analysis of Semilinear Partial Differential Equations
Bernd Kolar, Markus Schöberl
It is well-known that the controllability of finite-dimensional nonlinear systems can be established by showing the controllability of the linearized system. However, this classica…
Energy-Based In-Domain Control and Observer Design for Infinite-Dimensional Port-Hamiltonian Systems
Tobias Malzer, Jesús Toledo, Yann Le Gorrec +1
In this paper, we consider infinite-dimensional port-Hamiltonian systems with in-domain actuation by means of an approach based on Stokes-Dirac structures as well as in a framework…
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…
On the Calculation of Differential Parametrizations for the Feedforward Control of an Euler-Bernoulli Beam
Bernd Kolar, Nicole Gehring, Markus Schöberl
This contribution is concerned with the motion planning for underactuated Euler-Bernoulli beams. The design of the feedforward control is based on a differential parametrization of…
Energy-Based Control of Nonlinear Infinite-Dimensional Port-Hamiltonian Systems with Dissipation
Tobias Malzer, Hubert Rams, Markus Schöberl
In this paper, we consider nonlinear PDEs in a port-Hamiltonian setting based on an underlying jet-bundle structure. We restrict ourselves to systems with 1-dimensional spatial dom…
On the extraction of the boundary conditions and the boundary ports in second-order field theories
Markus Schöberl, Kurt Schlacher
In this paper we consider second-order field theories in a variational setting. From the variational principle the Euler-Lagrange equations follow in an unambiguous way, but it is…
On an implicit triangular decomposition of nonlinear control systems that are 1-flat - a constructive approach
Markus Schöberl, Kurt Schlacher
We study the problem to provide a triangular form based on implicit differential equations for non-linear multi-input systems with respect to the flatness property. Furthermore, we…
On the port-Hamiltonian representation of systems described by partial differential equations
Markus Schöberl, Andreas Siuka
We consider infinite dimensional port-Hamiltonian systems. Based on a power balance relation we introduce the port-Hamiltonian system representation where we pay attention to two d…