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

Principal investigators:

Prof. Dr. Hannes Gernandt; Prof. Dr. Manuel Schaller

Project description:  

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.

Researchers:  

M.Sc. Till Preuster

Publications of project C06:

5.

Preuster, Till; Reis, Timo; Schaller, Manuel
Abstract second-order boundary control systems
arXiv preprint:2510.10363
2025

4.

Rose, Max; Gernandt, Hannes; Faulwasser, Timm; Schiffer, Johannes
Exact Time-Varying Turnpikes for Dynamic Operation of District Heating Networks
IEEE Control Syst. Lett.
2025
Herausgeber: IEEE

3.

Gernandt, Hannes; Philipp, Friedrich; Preuster, Till; Schaller, Manuel
Extension theory via boundary triplets for infinite-dimensional implicit port-Hamiltonian systems
arXiv preprint:2503.17874
2025

2.

Gernandt, Hannes; Schaller, Manuel
Port-Hamiltonian structures in infinite-dimensional optimal control: Primal—Dual gradient method and control-by-interconnection
Systems & Control Letters, 197 :106030
2025
Herausgeber: Elsevier

1.

Gernandt, Hannes; Hinsen, Dorothea
Stability and passivity for a class of distributed port-Hamiltonian networks
SIAM J. Control Optim., 62 (6) :2936—2962
2024
Herausgeber: SIAM