On Tuesday, October 25, 2pm CEST, a scientific seminar will be held in the series "Research Seminar on Smart Cybernetics". Mikael Kurula from Åbo Akademi University, Turku, Finland will give a talk entitled "Explicit model predictive control for PDEs".

The seminar is organized in the scope of the project FrontSeat, which is a collaborative initiative of three universities: Slovak University of Technology in Bratislava (SK), Ruhr-Universität Bochum (DE), and University of Pisa (IT). The seminar is organized by and held in the premises of Ruhr-Universität Bochum.

The seminar will be available for virtual participation via Zoom at:
https://ruhr-uni-bochum.zoom.us/j/62222551426?pwd=bmtDejU5S3BKQ2FCNzA0Nk91MTBJUT09

Meeting-ID: 622 2255 1426

Passwort: 008697

Speaker: Mikael Kurula (Åbo Akademi University, Turku, Finland)

Title: Explicit model predictive control for PDEs

Abstract: Explicit model predictive control design is carefully developed for linear plants on Hilbert spaces, and we highlight the role of the so-called Slater condition in the reliable explicit solution of the MPC optimization. We then proceed to present a region-free active-set algorithm for explicit MPC, using it to stabilize an unstable, constrained heat equation with Neumann boundary control. The example demonstrates the ability to deal with a high prediction model dimension and a long optimization horizon. We briefly look at a more elaborate version of the active-set algorithm that is guaranteed to terminate in finite time in the absence of state constraints. We end with an application of the discrete-time explicit MPC controller to an unstable Timoshenko beam equation operating in continuous time. Throughout the talk, opportunities for further development will be pointed out.