Structured optimal control of port-Hamiltonian network models (B03)

• Subject Area: Mathematics
• Term: since 2014
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 239904186

The goal of this project is the simulation of and the feedback control design for systems describing the model hierarchy of gas transport networks. Here, the main tool for incorporating different scales and levels of simplification is an energy-based modeling via port-Hamiltonian systems. In particular, it is studied whether and how this particular system structure can be exploited in constructing robust simulation and control mechanisms. For this purpose, we will study the effect of using different system Hamiltonians, optimal control cost functionals and weighting matrices.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 154: Mathematical modelling, simulation and optimization using the example of gas networks
• Applicant Institution: Friedrich-Alexander-Universität Erlangen-Nürnberg
• Project Heads: Professor Dr. Tobias Breiten, since 7/2022; Professor Dr. Volker Mehrmann, until 6/2022