Port-Hamiltonian Systems

Arjan van der Schaft*

*Bijbehorende auteur voor dit werk

OnderzoeksoutputAcademicpeer review

2 Citaten (Scopus)

Samenvatting

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) = uTy. 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.

Originele taal-2English
TitelL2-Gain and Passivity Techniques in Nonlinear Control
RedacteurenArjan van der Schaft
UitgeverijSpringer International Publishing
Hoofdstuk6
Pagina's113-171
Aantal pagina's59
ISBN van elektronische versie978-3-319-49992-5
ISBN van geprinte versie978-3-319-49991-8
DOI's
StatusPublished - 1-jan-2017

Publicatie series

NaamCommunications and Control Engineering
ISSN van geprinte versie0178-5354
ISSN van elektronische versie2197-7119

Citeer dit