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 …

Predictive feedback boundary control of semilinear and quasilinear 2× 2 hyperbolic PDE–ODE systems

T Strecker, OM Aamo, M Cantoni - Automatica, 2022 - Elsevier
We present a control design for semilinear and quasilinear 2× 2 hyperbolic partial
differential equations with the control input at one boundary and a nonlinear ordinary …

Observer design for 2× 2 linear hyperbolic PDEs that are bidirectionally coupled with nonlinear ODEs

A Irscheid, N Gehring, J Deutscher… - 2021 European control …, 2021 - ieeexplore.ieee.org
A prediction-based observer is designed for systems consisting of 2× 2 linear
heterodirectional hyperbolic partial differential equations (PDEs) with collocated actuation …

A novel observer-based approach for the exponential stabilization of the string PDE with cubic nonlinearities

N Ghaderi - Systems & Control Letters, 2022 - Elsevier
The main objective of this study is to design an observer-based exponential output feedback
controller for a one-dimensional vibrating string PDE with in-domain sources, and both anti …

Prescribed-time control for a class of semilinear hyperbolic PDE-ODE systems

A Irscheid, N Espitia, W Perruquetti, J Rudolph - IFAC-PapersOnLine, 2022 - Elsevier
A prediction-based controller is shown to achieve prescribed-time stabilization of a
nonlinear infinite-dimensional system, which consists of a general boundary controlled first …

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 …

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 …

A systematic backstepping design of tracking controllers for ODE-PDE-ODE systems with nonlinear actuator dynamics

N Gehring - Advances in Distributed Parameter Systems, 2022 - Springer
A backstepping design of tracking controllers is addressed for hyperbolic and parabolic
bidirectionally coupled ODE-PDE-ODE systems with nonlinear ODEs at the actuated …