Finite-time output regulation for linear 2× 2 hyperbolic systems using backstepping

J Deutscher - Automatica, 2017 - Elsevier
This contribution presents the backstepping design of output feedback regulators for
boundary controlled linear 2× 2 hyperbolic systems, that achieve regulation in finite time. It is …

Cooperative output regulation for a network of parabolic systems with varying parameters

J Deutscher - Automatica, 2021 - Elsevier
This paper is concerned with the cooperative output regulation problem for a network of
agents with different dynamics described by parabolic PDEs subject to spatially-and time …

The weak form is stronger than you think

DA Messenger, A Tran, V Dukic, DM Bortz - arXiv preprint arXiv …, 2024 - arxiv.org
The weak form is a ubiquitous, well-studied, and widely-utilized mathematical tool in modern
computational and applied mathematics. In this work we provide a survey of both the history …

Flatness-based algebraic fault diagnosis for distributed-parameter systems

F Fischer, J Deutscher - Automatica, 2020 - Elsevier
This paper presents a flatness-based approach to the fault diagnosis for a large class of
parabolic and biharmonic distributed-parameter systems (DPS). The inputs, outputs and …

Fault diagnosis for linear heterodirectional hyperbolic ODE–PDE systems using backstepping-based trajectory planning

F Fischer, J Deutscher - Automatica, 2022 - Elsevier
This paper is concerned with the fault diagnosis problem for general linear heterodirectional
hyperbolic ODE–PDE systems. A systematic solution is presented for additive time-varying …

Control design for quasi-linear hyperbolic systems with an application to the heavy rope

T Knüppel, F Woittennek - IEEE Transactions on Automatic …, 2014 - ieeexplore.ieee.org
This contribution deals with the feed-forward control design for distributed parameter
systems governed by quasi-linear hyperbolic equations. This is achieved in two steps …

Controllability of networks of spatially one-dimensional second order PDEs—an algebraic approach

F Woittennek, H Mounier - SIAM Journal on Control and Optimization, 2010 - SIAM
We discuss controllability of systems that are initially given by boundary coupled PDEs of
second order. These systems may be described by modules over particular rings of …

Feed-forward control of an HVDC power transmission network

C Schmuck, F Woittennek, A Gensior… - IEEE Transactions on …, 2013 - ieeexplore.ieee.org
An efficient and well-established technology for power transmission across long distances is
high-voltage direct current transmission (HVDC). However, HVDC is currently almost …

Algebraic fault detection and isolation for parabolic distributed–parameter systems using modulation functions

F Fischer, J Deutscher - IFAC-PapersOnLine, 2016 - Elsevier
In this article an algebraic approach to the fault detection for parabolic distributed-parameter
systems is described. The modulation functions approach is used to obtain an algebraic fault …

Model based feedforward control of an industrial glass feeder

F Malchow, O Sawodny - Control Engineering Practice, 2012 - Elsevier
This article presents the automation of set point changes of an industrial glass feeder in
container glass production. A model is proposed consisting of multiple first order partial …