A class of port-controlled Hamiltonian systems

Bayu Jayawardhana; George Weiss

doi:10.1109/CDC.2005.1583059

A class of port-controlled Hamiltonian systems

Bayu Jayawardhana^*
, George Weiss

^*Corresponding author for this work

Control and Power Group
Imperial College London

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

7 Scopus citations

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	Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Publisher	IEEE Computer Society
Pages	5630-5632
Number of pages	3
ISBN (Print)	0780395689, 9780780395688
DOIs	https://doi.org/10.1109/CDC.2005.1583059
State	Published - 2005
Externally published	Yes
Event	Joint 44th IEEE Conference on Decision and Control and the 8th European Control Conference, CDC-ECC 2005 - Seville, Spain Duration: 12 Dec 2005 → 15 Dec 2005

Publication series

Name	Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Volume	2005

Conference

Conference	Joint 44th IEEE Conference on Decision and Control and the 8th European Control Conference, CDC-ECC 2005
Country/Territory	Spain
City	Seville
Period	12/12/05 → 15/12/05

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10.1109/CDC.2005.1583059

Cite this

Jayawardhana, B., & Weiss, G. (2005). A class of port-controlled Hamiltonian systems. In Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 (pp. 5630-5632). Article 1583059 (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05; Vol. 2005). IEEE Computer Society. https://doi.org/10.1109/CDC.2005.1583059

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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).",

author = "Bayu Jayawardhana and George Weiss",

year = "2005",

doi = "10.1109/CDC.2005.1583059",

language = "אנגלית",

isbn = "0780395689",

series = "Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05",

publisher = "IEEE Computer Society",

pages = "5630--5632",

booktitle = "Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05",

address = "ארצות הברית",

note = "Joint 44th IEEE Conference on Decision and Control and the 8th European Control Conference, CDC-ECC 2005 ; Conference date: 12-12-2005 Through 15-12-2005",

}

Jayawardhana, B & Weiss, G 2005, A class of port-controlled Hamiltonian systems. in Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05., 1583059, Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, vol. 2005, IEEE Computer Society, pp. 5630-5632, Joint 44th IEEE Conference on Decision and Control and the 8th European Control Conference, CDC-ECC 2005, Seville, Spain, 12/12/05. https://doi.org/10.1109/CDC.2005.1583059

A class of port-controlled Hamiltonian systems. / Jayawardhana, Bayu; Weiss, George.
Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. IEEE Computer Society, 2005. p. 5630-5632 1583059 (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05; Vol. 2005).

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

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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).

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Jayawardhana B, Weiss G. A class of port-controlled Hamiltonian systems. In Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. IEEE Computer Society. 2005. p. 5630-5632. 1583059. (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05). doi: 10.1109/CDC.2005.1583059

A class of port-controlled Hamiltonian systems

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