ICS: Control and Optimization of Port-Hamiltonian Systems

ICS > Research > Projects > Control and Optimization of Port-Hamiltonian Systems

Control and Optimization of Port-Hamiltonian Systems

Physics-based modelling leads to port-Hamiltonian structures [1-2]. These models consist of constitutive components: energy storage, energy dissipation, and ports which allows to transfer energy over system boundaries. Our research, supported by Deutsche Forschungsgemeinschaft (DFG), aims to exploit the structure of port-Hamiltonian systems in the realm of optimal and data-driven control.

[1] Maschke, B., van der Schaft, A., 1993. Port-controlled Hamiltonian systems: modelling origins and systemtheoretic properties. Nonlinear Control Systems Design.

[2] Van der Schaft, A., Jeltsema, D., 2014. Port-Hamiltonian systems theory: An introductory overview. Foundations and Trends in Systems and Control.

[3] Mehrmann, V., Unger, B., 2023. Control of port-Hamiltonian differential-algebraic systems and applications. Acta Numerica.

[4] Faulwasser, T., Maschke, B., Philipp, F., Schaller, M., Worthmann, K., 2022. Optimal control of port-Hamiltonian descriptor systems with minimal energy supply. SIAM Journal on Control and Optimization.

[5] Schaller, M., Philipp, F., Faulwasser, T., Worthmann, K., Maschke, B., 2021. Control of port-Hamiltonian systems with minimal energy supply. European Journal of Control.

[6] Maschke, B., Philipp, F., Schaller, M., Worthmann, K., Faulwasser, T., 2022. Optimal control of thermodynamic port-Hamiltonian systems. IFAC-PapersOnLine.

[7] Philipp, F., Schaller, M., Worthmann, K., Faulwasser, T., Maschke, B., 2024. Optimal control of port-Hamiltonian systems: energy, entropy, and exergy. Systems & Control Letters.

TU Hamburg

Institute of Control Systems

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21079 Hamburg

E-mail : control@tuhh.de

Phone : +49 40 42878-3215

Fax : +49 40 42878-4016

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