A class of port-controlled Hamiltonian systems

B. Jayawardhana; G. Weiss

doi:10.1109/CDC.2005.1583059

A class of port-controlled Hamiltonian systems

B. Jayawardhana, G. Weiss

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

7 Citations (Scopus)

239 Downloads (Pure)

Abstract

In this paper, we examine a particular class of port-controlled Hamiltonian systems for which the equations can be written in a form that is very similar to the equations of a linear passive system. We examine the passivity of such a system around an equilibrium point (u0,x0), which generates the output y0. We show that under some mild assumptions, a new Hamiltonian can be found such that the system is again passive with respect to the new supply rate (y−y0)^T(u−u0).

Original language	English
Title of host publication	44th IEEE Conference on Decision and Control
Subtitle of host publication	European Control Conference 2005
Publisher	IEEE (The Institute of Electrical and Electronics Engineers)
Pages	5630-5632
Number of pages	3
DOIs	https://doi.org/10.1109/CDC.2005.1583059
Publication status	Published - Dec-2005
Event	IEEE Conference Decision and Control - Duration: 15-Dec-2010 → 18-Dec-2010

Conference

Conference	IEEE Conference Decision and Control
Period	15/12/2010 → 18/12/2010

Keywords

nonlinear systems
port-hamiltonian systems

Access to Document

10.1109/CDC.2005.1583059

CDC2006_porthamiltonian.pdfFinal publisher's version, 127 KB

http://ieeexplore.ieee.org/xpl/articleDetails.jsp?tp=&arnumber=1583059

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Cite this

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title = "A class of port-controlled Hamiltonian systems",

abstract = "In this paper, we examine a particular class of port-controlled Hamiltonian systems for which the equations can be written in a form that is very similar to the equations of a linear passive system. We examine the passivity of such a system around an equilibrium point (u0,x0), which generates the output y0. We show that under some mild assumptions, a new Hamiltonian can be found such that the system is again passive with respect to the new supply rate (y−y0)^T(u−u0).",

keywords = "nonlinear systems, port-hamiltonian systems",

author = "B. Jayawardhana and G. Weiss",

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AU - Weiss, G.

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PY - 2005/12

Y1 - 2005/12

N2 - In this paper, we examine a particular class of port-controlled Hamiltonian systems for which the equations can be written in a form that is very similar to the equations of a linear passive system. We examine the passivity of such a system around an equilibrium point (u0,x0), which generates the output y0. We show that under some mild assumptions, a new Hamiltonian can be found such that the system is again passive with respect to the new supply rate (y−y0)^T(u−u0).

AB - In this paper, we examine a particular class of port-controlled Hamiltonian systems for which the equations can be written in a form that is very similar to the equations of a linear passive system. We examine the passivity of such a system around an equilibrium point (u0,x0), which generates the output y0. We show that under some mild assumptions, a new Hamiltonian can be found such that the system is again passive with respect to the new supply rate (y−y0)^T(u−u0).

KW - nonlinear systems

KW - port-hamiltonian systems

U2 - 10.1109/CDC.2005.1583059

DO - 10.1109/CDC.2005.1583059

M3 - Conference contribution

SP - 5630

EP - 5632

BT - 44th IEEE Conference on Decision and Control

PB - IEEE (The Institute of Electrical and Electronics Engineers)

T2 - IEEE Conference Decision and Control

Y2 - 15 December 2010 through 18 December 2010

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