Asymptotic stability for a class of boundary control systems with non-linear damping

Hans Zwart; Hector Ramirez; Yann Le Gorrec

doi:10.1016/j.ifacol.2016.07.458

Asymptotic stability for a class of boundary control systems with non-linear damping

Hans Zwart, Hector Ramirez, Yann Le Gorrec

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

2 Citations (Scopus)

182 Downloads (Pure)

Abstract

The asymptotic stability of boundary controlled port-Hamiltonian systems defined on a 1D spatial domain interconnected to a class of non-linear boundary damping is addressed. It is shown that if the port-Hamiltonian system is approximately observable, then any boundary damping which behaves linear for small velocities asymptotically stabilizes the system.

Original language	English
Title of host publication	2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations, CPDE 2016
Subtitle of host publication	Bertinoro, Italy, 13—15 June 2016
Editors	Alessandro Macchelli
Place of Publication	Amsterdam
Publisher	Elsevier
Pages	304-308
Number of pages	5
DOIs	https://doi.org/10.1016/j.ifacol.2016.07.458
Publication status	Published - 13 Jun 2016
Event	2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations, CPDE 2016 - Bertinoro, Italy Duration: 13 Jun 2016 → 15 Jun 2016 Conference number: 2

Publication series

Name	IFAC-PapersOnLine
Publisher	Elsevier
Number	8
Volume	49
ISSN (Print)	2405-8963

Conference

Conference	2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations, CPDE 2016
Abbreviated title	CPDE
Country/Territory	Italy
City	Bertinoro
Period	13/06/16 → 15/06/16

Keywords

2020 OA procedure
Asymptotic stability
Non-linear control
Infinite dimensional port Hamiltonian systems
Boundary control systems

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10.1016/j.ifacol.2016.07.458

ArticleFinal published version, 387 KBLicence: Taverne

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Zwart, H., Ramirez, H., & Le Gorrec, Y. (2016). Asymptotic stability for a class of boundary control systems with non-linear damping. In A. Macchelli (Ed.), 2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations, CPDE 2016: Bertinoro, Italy, 13—15 June 2016 (pp. 304-308). (IFAC-PapersOnLine; Vol. 49, No. 8). Elsevier. https://doi.org/10.1016/j.ifacol.2016.07.458

@inproceedings{c6ad6e45b0314397b37aaebce5016e06,

title = "Asymptotic stability for a class of boundary control systems with non-linear damping",

abstract = "The asymptotic stability of boundary controlled port-Hamiltonian systems defined on a 1D spatial domain interconnected to a class of non-linear boundary damping is addressed. It is shown that if the port-Hamiltonian system is approximately observable, then any boundary damping which behaves linear for small velocities asymptotically stabilizes the system.",

keywords = "2020 OA procedure, Asymptotic stability, Non-linear control, Infinite dimensional port Hamiltonian systems, Boundary control systems",

author = "Hans Zwart and Hector Ramirez and \{Le Gorrec\}, Yann",

year = "2016",

month = jun,

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doi = "10.1016/j.ifacol.2016.07.458",

language = "English",

series = "IFAC-PapersOnLine",

publisher = "Elsevier",

number = "8",

pages = "304--308",

editor = "Alessandro Macchelli",

booktitle = "2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations, CPDE 2016",

note = "2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations, CPDE 2016, CPDE ; Conference date: 13-06-2016 Through 15-06-2016",

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Zwart, H, Ramirez, H & Le Gorrec, Y 2016, Asymptotic stability for a class of boundary control systems with non-linear damping. in A Macchelli (ed.), 2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations, CPDE 2016: Bertinoro, Italy, 13—15 June 2016. IFAC-PapersOnLine, no. 8, vol. 49, Elsevier, Amsterdam, pp. 304-308, 2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations, CPDE 2016, Bertinoro, Italy, 13/06/16. https://doi.org/10.1016/j.ifacol.2016.07.458

Asymptotic stability for a class of boundary control systems with non-linear damping. / Zwart, Hans; Ramirez, Hector; Le Gorrec, Yann.
2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations, CPDE 2016: Bertinoro, Italy, 13—15 June 2016. ed. / Alessandro Macchelli. Amsterdam: Elsevier, 2016. p. 304-308 (IFAC-PapersOnLine; Vol. 49, No. 8).

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

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AU - Ramirez, Hector

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AB - The asymptotic stability of boundary controlled port-Hamiltonian systems defined on a 1D spatial domain interconnected to a class of non-linear boundary damping is addressed. It is shown that if the port-Hamiltonian system is approximately observable, then any boundary damping which behaves linear for small velocities asymptotically stabilizes the system.

KW - 2020 OA procedure

KW - Asymptotic stability

KW - Non-linear control

KW - Infinite dimensional port Hamiltonian systems

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BT - 2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations, CPDE 2016

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Y2 - 13 June 2016 through 15 June 2016

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Zwart H, Ramirez H, Le Gorrec Y. Asymptotic stability for a class of boundary control systems with non-linear damping. In Macchelli A, editor, 2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations, CPDE 2016: Bertinoro, Italy, 13—15 June 2016. Amsterdam: Elsevier. 2016. p. 304-308. (IFAC-PapersOnLine; 8). doi: 10.1016/j.ifacol.2016.07.458

Asymptotic stability for a class of boundary control systems with non-linear damping

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