Output regulation for general heterodirectional linear hyperbolic PDEs coupled with nonlinear ODEs

A Irscheid, J Deutscher, N Gehring, J Rudolph - Automatica, 2023 - Elsevier
This paper considers general heterodirectional linear hyperbolic PDEs with boundary
actuation and collocated measurement, that are bidirectionally coupled with nonlinear ODEs …

Stabilizing Nonlinear ODEs With Diffusive Actuator Dynamics

A Irscheid, N Gehring, J Deutscher… - IEEE Control Systems …, 2024 - ieeexplore.ieee.org
This paper presents a design of stabilizing controllers for a cascaded system consisting of a
boundary actuated parabolic PDE and nonlinear dynamics at the unactuated boundary …

Control of distributed-parameter systems using normal forms: an introduction

N Gehring, A Irscheid, J Deutscher… - at …, 2023 - degruyter.com
This paper gives an overview of the control of distributed-parameter systems using normal
forms. Considering linear controllable PDE-ODE systems of hyperbolic type, two methods …

Flatness-based analysis and control design for 2× 2 hyperbolic PDEs with nonlinear boundary dynamics

F Woittennek, A Irscheid, N Gehring - IFAC-PapersOnLine, 2022 - Elsevier
Distributed-parameter systems represented by linear one-dimensional 2× 2 hyperbolic
PDEs with nonlinear finite-dimensional differentially flat dynamics at one boundary and …