Nonlinear feedback control of parabolic PDE systems with time-dependent spatial domains

Antonios Armaou, Panagiotis D. Christofides

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper proposes a methodology for the synthesis of nonlinear finite-dimensional time-varying output feedback controllers for systems of quasi-linear parabolic partial differential equations with time-dependent spatial domains. The method is successfully applied to a typical diffusion-reaction process whose spatial domain changes with time and is shown to outperform a controller design method which does not account for the variation of the spatial domain.

Original languageEnglish (US)
Title of host publicationProceedings of the 1998 American Control Conference, ACC 1998
Pages2539-2543
Number of pages5
DOIs
StatePublished - Dec 1 1998
Event1998 American Control Conference, ACC 1998 - Philadelphia, PA, United States
Duration: Jun 24 1998Jun 26 1998

Publication series

NameProceedings of the American Control Conference
Volume4
ISSN (Print)0743-1619

Other

Other1998 American Control Conference, ACC 1998
CountryUnited States
CityPhiladelphia, PA
Period6/24/986/26/98

Fingerprint

Nonlinear feedback
Feedback control
Controllers
Partial differential equations
Feedback

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this

Armaou, A., & Christofides, P. D. (1998). Nonlinear feedback control of parabolic PDE systems with time-dependent spatial domains. In Proceedings of the 1998 American Control Conference, ACC 1998 (pp. 2539-2543). [703092] (Proceedings of the American Control Conference; Vol. 4). https://doi.org/10.1109/ACC.1998.703092
Armaou, Antonios ; Christofides, Panagiotis D. / Nonlinear feedback control of parabolic PDE systems with time-dependent spatial domains. Proceedings of the 1998 American Control Conference, ACC 1998. 1998. pp. 2539-2543 (Proceedings of the American Control Conference).
@inproceedings{2b0ae95c45eb4c65a613fec475f0037c,
title = "Nonlinear feedback control of parabolic PDE systems with time-dependent spatial domains",
abstract = "This paper proposes a methodology for the synthesis of nonlinear finite-dimensional time-varying output feedback controllers for systems of quasi-linear parabolic partial differential equations with time-dependent spatial domains. The method is successfully applied to a typical diffusion-reaction process whose spatial domain changes with time and is shown to outperform a controller design method which does not account for the variation of the spatial domain.",
author = "Antonios Armaou and Christofides, {Panagiotis D.}",
year = "1998",
month = "12",
day = "1",
doi = "10.1109/ACC.1998.703092",
language = "English (US)",
isbn = "0780345304",
series = "Proceedings of the American Control Conference",
pages = "2539--2543",
booktitle = "Proceedings of the 1998 American Control Conference, ACC 1998",

}

Armaou, A & Christofides, PD 1998, Nonlinear feedback control of parabolic PDE systems with time-dependent spatial domains. in Proceedings of the 1998 American Control Conference, ACC 1998., 703092, Proceedings of the American Control Conference, vol. 4, pp. 2539-2543, 1998 American Control Conference, ACC 1998, Philadelphia, PA, United States, 6/24/98. https://doi.org/10.1109/ACC.1998.703092

Nonlinear feedback control of parabolic PDE systems with time-dependent spatial domains. / Armaou, Antonios; Christofides, Panagiotis D.

Proceedings of the 1998 American Control Conference, ACC 1998. 1998. p. 2539-2543 703092 (Proceedings of the American Control Conference; Vol. 4).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

TY - GEN

T1 - Nonlinear feedback control of parabolic PDE systems with time-dependent spatial domains

AU - Armaou, Antonios

AU - Christofides, Panagiotis D.

PY - 1998/12/1

Y1 - 1998/12/1

N2 - This paper proposes a methodology for the synthesis of nonlinear finite-dimensional time-varying output feedback controllers for systems of quasi-linear parabolic partial differential equations with time-dependent spatial domains. The method is successfully applied to a typical diffusion-reaction process whose spatial domain changes with time and is shown to outperform a controller design method which does not account for the variation of the spatial domain.

AB - This paper proposes a methodology for the synthesis of nonlinear finite-dimensional time-varying output feedback controllers for systems of quasi-linear parabolic partial differential equations with time-dependent spatial domains. The method is successfully applied to a typical diffusion-reaction process whose spatial domain changes with time and is shown to outperform a controller design method which does not account for the variation of the spatial domain.

UR - http://www.scopus.com/inward/record.url?scp=84881353981&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84881353981&partnerID=8YFLogxK

U2 - 10.1109/ACC.1998.703092

DO - 10.1109/ACC.1998.703092

M3 - Conference contribution

AN - SCOPUS:84881353981

SN - 0780345304

SN - 9780780345300

T3 - Proceedings of the American Control Conference

SP - 2539

EP - 2543

BT - Proceedings of the 1998 American Control Conference, ACC 1998

ER -

Armaou A, Christofides PD. Nonlinear feedback control of parabolic PDE systems with time-dependent spatial domains. In Proceedings of the 1998 American Control Conference, ACC 1998. 1998. p. 2539-2543. 703092. (Proceedings of the American Control Conference). https://doi.org/10.1109/ACC.1998.703092