From October 8–10, 2024, Michael Schuster presented a poster on the topic „Nodal Control and the Turnpike Phenomenon“ during the 2024 Conference on Control, Inversion, and Numerics for PDEs, held at Fudan University in Shanghai, China

About the project:

The goal of this project is to prove turnpike results for optimal control problems in gas networks. We will consider nodal control since the control action takes place at compressors that are located at a small number of points in the networks. Probabilistic constraints are included since they allow to take into account the uncertainty of e.g. the customer demand. We will also scrutinize switching conditions that arise e.g in the decision to to open or close a gas valve. Since the turnpike phenomenon relates the dynamic optimal states to steady states, we will also study steady gas flows on networks with intertwined cycles (view the poster here).