Multi-variable port Hamiltonian model of piezoelectric material

A. Macchelli; Alessandro Macchelli; Arjan van der Schaft; Claudio Melchiorri

doi:10.1109/IROS.2004.1389466

Multi-variable port Hamiltonian model of piezoelectric material

A. Macchelli, Alessandro Macchelli, Arjan van der Schaft, Claudio Melchiorri

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

11 Citations (Scopus)

61 Downloads (Pure)

Abstract

In this paper, the dynamics of a piezoelectric material is presented within the new framework of multi-variable distributed port Hamiltonian systems. This class of infinite dimensional system is quite general, thus allowing the description of several physical phenomena, such as heat conduction, elasticity, electromagnetism and, of course, piezoelectricity. The key point is the generalization of the notion of finite dimensional Dirac structure in order to deal with an infinite dimensional space of power variables. In this way, the dynamics of the system results from the interconnection of a proper set of elements, each of them characterized by a particular energetic behavior, while the interaction with the environment is described in terms of mechanical and electrical boundary ports.

Original language	Undefined
Title of host publication	Proceedings of the 2004 IEEE/RJS International Conference on Intelligent Robots and Systems
Place of Publication	Sendai, Japan
Publisher	IEEE
Pages	897-902
Number of pages	6
ISBN (Print)	0-7803-8463-6
DOIs	https://doi.org/10.1109/IROS.2004.1389466
Publication status	Published - 2004
Event	2004 IEEE/RSJ International Conference on Intelligent Robots and Systems, IROS 2004 - Sendai, Japan Duration: 28 Sep 2004 → 2 Oct 2004

Publication series

Name
Publisher	IEEE
Volume	1

Conference

Conference	2004 IEEE/RSJ International Conference on Intelligent Robots and Systems, IROS 2004
Abbreviated title	IROS
Country	Japan
City	Sendai
Period	28/09/04 → 2/10/04

Keywords

METIS-220479
IR-69162
EWI-16815

Access to Document

10.1109/IROS.2004.1389466

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Cite this

Macchelli, A., Macchelli, A., van der Schaft, A., & Melchiorri, C. (2004). Multi-variable port Hamiltonian model of piezoelectric material. In Proceedings of the 2004 IEEE/RJS International Conference on Intelligent Robots and Systems (pp. 897-902). [10.1109/IROS.2004.1389466] Sendai, Japan: IEEE. https://doi.org/10.1109/IROS.2004.1389466

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abstract = "In this paper, the dynamics of a piezoelectric material is presented within the new framework of multi-variable distributed port Hamiltonian systems. This class of infinite dimensional system is quite general, thus allowing the description of several physical phenomena, such as heat conduction, elasticity, electromagnetism and, of course, piezoelectricity. The key point is the generalization of the notion of finite dimensional Dirac structure in order to deal with an infinite dimensional space of power variables. In this way, the dynamics of the system results from the interconnection of a proper set of elements, each of them characterized by a particular energetic behavior, while the interaction with the environment is described in terms of mechanical and electrical boundary ports.",

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author = "A. Macchelli and Alessandro Macchelli and {van der Schaft}, Arjan and Claudio Melchiorri",

year = "2004",

doi = "10.1109/IROS.2004.1389466",

language = "Undefined",

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Macchelli, A, Macchelli, A, van der Schaft, A & Melchiorri, C 2004, Multi-variable port Hamiltonian model of piezoelectric material. in Proceedings of the 2004 IEEE/RJS International Conference on Intelligent Robots and Systems., 10.1109/IROS.2004.1389466, IEEE, Sendai, Japan, pp. 897-902, 2004 IEEE/RSJ International Conference on Intelligent Robots and Systems, IROS 2004, Sendai, Japan, 28/09/04. https://doi.org/10.1109/IROS.2004.1389466

Multi-variable port Hamiltonian model of piezoelectric material. / Macchelli, A.; Macchelli, Alessandro; van der Schaft, Arjan; Melchiorri, Claudio.

Proceedings of the 2004 IEEE/RJS International Conference on Intelligent Robots and Systems. Sendai, Japan : IEEE, 2004. p. 897-902 10.1109/IROS.2004.1389466.

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

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AU - Macchelli, Alessandro

AU - van der Schaft, Arjan

AU - Melchiorri, Claudio

PY - 2004

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N2 - In this paper, the dynamics of a piezoelectric material is presented within the new framework of multi-variable distributed port Hamiltonian systems. This class of infinite dimensional system is quite general, thus allowing the description of several physical phenomena, such as heat conduction, elasticity, electromagnetism and, of course, piezoelectricity. The key point is the generalization of the notion of finite dimensional Dirac structure in order to deal with an infinite dimensional space of power variables. In this way, the dynamics of the system results from the interconnection of a proper set of elements, each of them characterized by a particular energetic behavior, while the interaction with the environment is described in terms of mechanical and electrical boundary ports.

AB - In this paper, the dynamics of a piezoelectric material is presented within the new framework of multi-variable distributed port Hamiltonian systems. This class of infinite dimensional system is quite general, thus allowing the description of several physical phenomena, such as heat conduction, elasticity, electromagnetism and, of course, piezoelectricity. The key point is the generalization of the notion of finite dimensional Dirac structure in order to deal with an infinite dimensional space of power variables. In this way, the dynamics of the system results from the interconnection of a proper set of elements, each of them characterized by a particular energetic behavior, while the interaction with the environment is described in terms of mechanical and electrical boundary ports.

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KW - IR-69162

KW - EWI-16815

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BT - Proceedings of the 2004 IEEE/RJS International Conference on Intelligent Robots and Systems

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