Robust state-feedback stabilization of an underactuated network of interconnected n+ m hyperbolic PDE systems

J Auriol, DB Pietri - Automatica, 2022 - Elsevier
We detail in this article the development of a delay-robust stabilizing state feedback control
law for an underactuated network of two subsystems of heterodirectional linear first-order …

Output-feedback control of an underactuated network of interconnected hyperbolic PDE–ODE systems

J Redaud, J Auriol, SI Niculescu - Systems & control letters, 2021 - Elsevier
In this paper, the output feedback stabilization of an underactuated chain of scalar
hyperbolic systems coupled at one end with a finite-dimensional system is addressed. As …

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 …

Output feedback control of general linear heterodirectional hyperbolic PDE-ODE systems with spatially-varying coefficients

J Deutscher, N Gehring, R Kern - International Journal of Control, 2019 - Taylor & Francis
This paper presents a backstepping solution for the output feedback control of general linear
heterodirectional hyperbolic PDE-ODE systems with spatially varying coefficients. Thereby …

Robustification of stabilizing controllers for ODE-PDE-ODE systems: A filtering approach

J Auriol, FB Argomedo, F Di Meglio - Automatica, 2023 - Elsevier
In this paper, we present a filtering technique that robustifies stabilizing controllers for
systems composed of heterodirectional linear first-order hyperbolic Partial Differential …

Output-feedback stabilization of an underactuated network of interconnected hyperbolic PDE systems

J Auriol - IEEE Transactions on Automatic Control, 2024 - ieeexplore.ieee.org
In this article, we detail the design of an output feedback stabilizing control law for an
underactuated network of subsystems of heterodirectional linear first-order hyperbolic Partial …

Using dynamic extensions for the backstepping control of hyperbolic systems

N Gehring, J Deutscher, A Irscheid - Automatica, 2025 - Elsevier
This paper systematically introduces dynamic extensions for the boundary control of general
heterodirectional hyperbolic PDE systems. These extensions, which are well known in the …

Flatness-based output feedback tracking control of a hyperbolic distributed-parameter system

N Gehring, F Woittennek - IEEE Control Systems Letters, 2021 - ieeexplore.ieee.org
The hyperbolic distributed-parameter system under consideration comprises a second-order
partial differential equation that is bidirectionally coupled with a first-order ordinary …

Flatness based trajectory planning and open-loop control of shallow-water waves in a tube

J Kopp, F Woittennek - Automatica, 2020 - Elsevier
Open-loop control design for a fluid in a pipe is considered. The position (resp. the velocity)
of a piston moving within the tube acts as control input. The system dynamics are described …

Tracking Control for Linear Heterodirectional Hyperbolic PDEs that Are Bidirectionally Coupled with Nonlinear ODEs

A Irscheid, N Gehring, J Deutscher… - Advances in Distributed …, 2022 - Springer
A solution-based approach to trajectory tracking control is presented for 2× 2 linear
heterodirectional hyperbolic PDEs that are actuated at one boundary and bidirectionally …