21. November 2024
Kolloquium
Vortragender: Jun.-Prof. Dr. Thomas Berger (Universität Paderborn)
"Control with safety guarantees"
Beginn: 16:15 Uhr
Ort: HS 1.04, VSP 1
Abstrakt:
The control of dynamical systems with prescribed performance requirements is an active research area of systems and control theory. In view of necessary safety guarantees, suitable control techniques are of high practical relevance. Concurrently, a certain robustness is necessary because a precise measurement of the full state is often not available and many system parameters are unknown or uncertain. In this talk, the method of funnel control will be presented as a control technique which exhibits these requisite properties and only requires the knowledge of some structural invariants of the system class. This class can contain both finite and infinite dimensional systems, as the dimension of the state does not need to be known. For infinite dimensional systems we distinguish between systems which have a well defined relative degree (and are hence amenable to funnel control by straightforward arguments) and systems for which this is not the case - and hence individual methods are required. Finally, funnel MPC, a new optimization-based control approach with guaranteed safety, will be briefly presented.