Control of System Dynamics in Gas and Water Networks

Efficient control of gas and water transportation networks plays an important role in industrial and municipal supply as well as in flood management. The gas flow through pipes can be controlled via compressors and valves, the water flow in canals can be controlled via pumping stations and flow gates. The picture shows a part of a compressor station (source: WINGAS). The dynamics in gas or water networks are governed by the isothermal Euler equations or the Saint Venant equations (shallow water equations), respectively, which form hyperbolic balance laws. For these networks we analyse (optimal) control and stabilization problems as well as the numerical application of the theoretical results. This project is a cooperative project between the RWTH Aachen University and the Friedrich-Alexander-University Erlangen-Nuremberg and is funded by the DFG Schwerpunktprogramm 1253.
Prof. Dr. G. Leugering, Prof. Dr. Martin Gugat, Dr. Markus Dick, Michael Herty