On stabilization of nonlinear distributed parameter port-controlled Hamiltonian systems via energy-shaping

Hugo Rodríguez; Arjan van der Schaft; Romeo Ortega

doi:10.1109/.2001.980086

On stabilization of nonlinear distributed parameter port-controlled Hamiltonian systems via energy-shaping

Hugo Rodríguez
, Arjan van der Schaft
, Romeo Ortega

Research output: Contribution to conference › Paper › peer-review

56 Citations (Scopus)

15 Downloads (Pure)

Abstract

Energy-shaping techniques have been successfully used for stabilization of nonlinear finite dimensional systems for 20 years now. In particular, for systems described by Port-Controlled Hamiltonian (PCH) models, the "control by interconnection" method provides a simple and elegant procedure for stabilization of nonlinear systems with finite dissipation. In this paper we explore the possibility of extending this technique to the case where the plant contains a distributed parameter subsystem, in the form of a transmission line between the plant and the controller. Note: The present paper is an abridged version of [3]

Original language	English
Pages	131-136
Number of pages	6
DOIs	https://doi.org/10.1109/.2001.980086
Publication status	Published - 2001
Event	40th IEEE Conference on Decision and Control, CDC 2001 - Hyatt Regency Grand Cypress, Orlando, United States Duration: 4 Dec 2001 → 7 Dec 2001

Conference

Conference	40th IEEE Conference on Decision and Control, CDC 2001
Abbreviated title	CDC
Country/Territory	United States
City	Orlando
Period	4/12/01 → 7/12/01

Keywords

IR-69107
EWI-16702

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10.1109/.2001.980086

Cite this

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title = "On stabilization of nonlinear distributed parameter port-controlled Hamiltonian systems via energy-shaping",

abstract = "Energy-shaping techniques have been successfully used for stabilization of nonlinear finite dimensional systems for 20 years now. In particular, for systems described by Port-Controlled Hamiltonian (PCH) models, the {"}control by interconnection{"} method provides a simple and elegant procedure for stabilization of nonlinear systems with finite dissipation. In this paper we explore the possibility of extending this technique to the case where the plant contains a distributed parameter subsystem, in the form of a transmission line between the plant and the controller. Note: The present paper is an abridged version of [3]",

keywords = "IR-69107, EWI-16702",

author = "Hugo Rodr{\'i}guez and \{van der Schaft\}, Arjan and Romeo Ortega",

year = "2001",

doi = "10.1109/.2001.980086",

language = "English",

pages = "131--136",

note = "40th IEEE Conference on Decision and Control, CDC 2001, CDC ; Conference date: 04-12-2001 Through 07-12-2001",

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T1 - On stabilization of nonlinear distributed parameter port-controlled Hamiltonian systems via energy-shaping

AU - Rodríguez, Hugo

AU - van der Schaft, Arjan

AU - Ortega, Romeo

PY - 2001

Y1 - 2001

N2 - Energy-shaping techniques have been successfully used for stabilization of nonlinear finite dimensional systems for 20 years now. In particular, for systems described by Port-Controlled Hamiltonian (PCH) models, the "control by interconnection" method provides a simple and elegant procedure for stabilization of nonlinear systems with finite dissipation. In this paper we explore the possibility of extending this technique to the case where the plant contains a distributed parameter subsystem, in the form of a transmission line between the plant and the controller. Note: The present paper is an abridged version of [3]

AB - Energy-shaping techniques have been successfully used for stabilization of nonlinear finite dimensional systems for 20 years now. In particular, for systems described by Port-Controlled Hamiltonian (PCH) models, the "control by interconnection" method provides a simple and elegant procedure for stabilization of nonlinear systems with finite dissipation. In this paper we explore the possibility of extending this technique to the case where the plant contains a distributed parameter subsystem, in the form of a transmission line between the plant and the controller. Note: The present paper is an abridged version of [3]

KW - IR-69107

KW - EWI-16702

U2 - 10.1109/.2001.980086

DO - 10.1109/.2001.980086

M3 - Paper

SP - 131

EP - 136

T2 - 40th IEEE Conference on Decision and Control, CDC 2001

Y2 - 4 December 2001 through 7 December 2001

ER -

On stabilization of nonlinear distributed parameter port-controlled Hamiltonian systems via energy-shaping

Abstract

Conference

Keywords

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