5 papers
Backstepping Design of Dynamic State Feedback Controllers for Parabolic Systems
Nicole Gehring, Benedikt Schwämmle, Abdurrahman Irscheid +1
Recently, dynamic state feedback controllers that are based on dynamic extensions have been presented for heterodirectional hyperbolic systems. In this paper, a similar concept for…
A Koopman-backstepping approach to data-driven robust output regulation for linear parabolic systems
Joachim Deutscher, Julian Zimmer
In this paper a solution of the data-driven robust output regulation problem for linear parabolic systems is presented. Both the system as well as the ODE, i.e., the disturbance mo…
A Koopman Operator Approach to Data-Driven Control of Semilinear Parabolic Systems
Joachim Deutscher, Tarik Enderes
This paper is concerned with the data-driven stabilization of unknown boundary controlled semilinear parabolic systems. The nonlinear dynamics of the system are lifted using a fini…
Using dynamic extensions for the backstepping control of hyperbolic systems
Nicole Gehring, Joachim Deutscher, Abdurrahman Irscheid
This paper systematically introduces dynamic extensions for the boundary control of general heterodirectional hyperbolic PDE systems. These extensions, which are well known in the…
Data-Driven Control of Linear Parabolic Systems using Koopman Eigenstructure Assignment
J. Deutscher
This paper considers the data-driven stabilization of linear boundary controlled parabolic PDEs by making use of the Koopman operator. For this, a Koopman eigenstructure assignment…