Port-Hamiltonian Systems: From Modeling to Control
Authors
Abstract
Port-based modeling of general multi-physics systems leads to port-Hamiltonian system formulations, which make explicit the underlying network and energetic structure. Key properties are (shifted) passivity, compositionality, and existence of conserved quantities. This provides powerful tools for simulation, analysis, and control.
Keywords
Multi-physics systems; Network modeling; Passivity; Compositionality; Interconnection; Nonlinear control
Citation
- ISBN: 9783030441838
- Publisher: Springer International Publishing
- DOI: 10.1007/978-3-030-44184-5_100073
BibTeX
@inbook{Schaft_2021,
title={{Port-Hamiltonian Systems: From Modeling to Control}},
ISBN={9783030441845},
DOI={10.1007/978-3-030-44184-5_100073},
booktitle={{Encyclopedia of Systems and Control}},
publisher={Springer International Publishing},
author={Schaft, Arjan van der},
year={2021},
pages={1753--1756}
}
References
- Modeling and control of complex physical systems; the port-Hamiltonian approach (2009)
- Maschke, B. M. & van der Schaft, A. J. Port-Controlled Hamiltonian Systems: Modelling Origins and Systemtheoretic Properties. IFAC Proceedings Volumes 25, 359–365 (1992) – 10.1016/s1474-6670(17)52308-3
- Ortega, R., van der Schaft, A., Maschke, B. & Escobar, G. Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems. Automatica 38, 585–596 (2002) – 10.1016/s0005-1098(01)00278-3
- HM Paynter, Analysis and design of engineering systems (1961)
- van der Schaft, A. L2-Gain and Passivity Techniques in Nonlinear Control. Communications and Control Engineering (Springer International Publishing, 2017). doi:10.1007/978-3-319-49992-5 – 10.1007/978-3-319-49992-5
- van der Schaft, A. J. & Maschke, B. M. Hamiltonian formulation of distributed-parameter systems with boundary energy flow. Journal of Geometry and Physics 42, 166–194 (2002) – 10.1016/s0393-0440(01)00083-3
- van der Schaft, A. & Jeltsema, D. Port-Hamiltonian Systems Theory: An Introductory Overview. FnT in Systems and Control 1, 173–378 (2014) – 10.1561/2600000002