Port-Hamiltonian Systems

Arjan van der Schaft

doi:10.1007/978-3-319-49992-5_6

Port-Hamiltonian Systems

Arjan van der Schaft^*

^*Corresponding author for this work

Systems, Control and Applied Analysis

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review

2 Citations (Scopus)

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. 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.

Original language	English
Title of host publication	L2-Gain and Passivity Techniques in Nonlinear Control
Editors	Arjan van der Schaft
Publisher	Springer International Publishing
Chapter	6
Pages	113-171
Number of pages	59
ISBN (Electronic)	978-3-319-49992-5
ISBN (Print)	978-3-319-49991-8
DOIs	https://doi.org/10.1007/978-3-319-49992-5_6
Publication status	Published - 1-Jan-2017

Publication series

Name	Communications and Control Engineering
ISSN (Print)	0178-5354
ISSN (Electronic)	2197-7119

Access to Document

10.1007/978-3-319-49992-5_6

Embargoed Document

Port-Hamiltonian Systems
Final publisher's version, 841 KB
Request copy

Cite this

@inbook{daf5396074244b3eacf1d2889416d260,

title = "Port-Hamiltonian Systems",

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) = 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.",

author = "{van der Schaft}, Arjan",

year = "2017",

month = jan,

day = "1",

doi = "10.1007/978-3-319-49992-5_6",

language = "English",

isbn = "978-3-319-49991-8",

series = "Communications and Control Engineering",

publisher = "Springer International Publishing",

pages = "113--171",

editor = "{van der Schaft}, {Arjan }",

booktitle = "L2-Gain and Passivity Techniques in Nonlinear Control",

}

TY - CHAP

T1 - Port-Hamiltonian Systems

AU - van der Schaft, Arjan

PY - 2017/1/1

Y1 - 2017/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85042874282&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-49992-5_6

DO - 10.1007/978-3-319-49992-5_6

M3 - Chapter

AN - SCOPUS:85042874282

SN - 978-3-319-49991-8

T3 - Communications and Control Engineering

SP - 113

EP - 171

BT - L2-Gain and Passivity Techniques in Nonlinear Control

A2 - van der Schaft, Arjan

PB - Springer International Publishing

ER -