Port-Hamiltonian methods for optimal control of large-scale systems (C06)

• Subject Area: Mathematics
• Term: since 2025
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 531152215

We investigate the previously unnoticed port-Hamiltonian structure of iterative numerical solvers of large optimal control problems. Based on this, optimization-based controllers are formulated in which the iterative solver of the optimal control problem is coupled with a system to be controlled. The decisive advantage of this new approach is that the inherent dissipativity of port-Hamiltonian systems guarantees the stability of the closed control loop, especially if, for example, learning-based surrogate models are used in the optimal control problem.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1701: Port-Hamiltonian Systems
• Applicant Institution: Bergische Universität Wuppertal
• Project Heads: Professor Dr. Hannes Gernandt; Professor Dr. Manuel Schaller