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

Antonios Armaou; Panagiotis D. Christofides

doi:10.1109/ACC.1998.703092

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

Antonios Armaou, Panagiotis D. Christofides

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English (US)
Title of host publication	Proceedings of the 1998 American Control Conference, ACC 1998
Pages	2539-2543
Number of pages	5
DOIs	https://doi.org/10.1109/ACC.1998.703092
State	Published - Dec 1 1998
Event	1998 American Control Conference, ACC 1998 - Philadelphia, PA, United States Duration: Jun 24 1998 → Jun 26 1998

Publication series

Name	Proceedings of the American Control Conference
Volume	4
ISSN (Print)	0743-1619

Other

Other	1998 American Control Conference, ACC 1998
Country/Territory	United States
City	Philadelphia, PA
Period	6/24/98 → 6/26/98

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

Access to Document

10.1109/ACC.1998.703092

Cite this

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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.}",

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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 proceeding › Conference contribution

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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.

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

Abstract

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