Port-Hamiltonian Systems
Authors
Abstract
As described in the previous Chaps. 3 and 4 , (cyclo-)passive systems are defined by the existence of a storage function (nonnegative in case of passivity) satisfying the dissipation inequality with respect to the supply rate \( \)s(u,y)=u^Ty\( \) s ( u , y ) = u T y . In contrast, port-Hamiltonian systems, the topic of the current chapter are endowed with the property of (cyclo-)passivity as a consequence of their system formulation. In fact, port-Hamiltonian systems arise from first principles physical modeling. They are defined in terms of a Hamiltonian function together with two geometric structures (corresponding, respectively, to power-conserving interconnection and energy dissipation), which are such that the Hamiltonian function automatically satisfies the dissipation inequality.
Citation
- ISBN: 9783319499918
- Publisher: Springer International Publishing
- DOI: 10.1007/978-3-319-49992-5_6
BibTeX
@inbook{van_der_Schaft_2016,
title={{Port-Hamiltonian Systems}},
ISBN={9783319499925},
ISSN={2197-7119},
DOI={10.1007/978-3-319-49992-5_6},
booktitle={{L2-Gain and Passivity Techniques in Nonlinear Control}},
publisher={Springer International Publishing},
author={van der Schaft, Arjan},
year={2016},
pages={113--171}
}