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

Antonios Armaou, Panagiotis D. Christofides

Research output: Contribution to journalConference article

2 Citations (Scopus)

Abstract

Robust static output feedback controllers were synthesize for systems of quasi-linear parabolic partial differential equations with time-dependent spatial domains and uncertain variables. The proposed controllers guarantee boundedness of the state and output tracking with arbitrary degree of asymptotic attenuation of the effect of the uncertain variables on the controlled output of the closed-loop system, provided that the separation between the slow and fast dynamical phenomena is sufficiently large. The controllers are successfully applied to a typical diffusion-reaction process with moving boundary and uncertainty.

Original languageEnglish (US)
Pages (from-to)1727-1733
Number of pages7
JournalProceedings of the American Control Conference
Volume3
StatePublished - Dec 1 1999
EventProceedings of the 1999 American Control Conference (99ACC) - San Diego, CA, USA
Duration: Jun 2 1999Jun 4 1999

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Feedback control
Controllers
Closed loop systems
Partial differential equations
Feedback
Uncertainty

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this

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

In: Proceedings of the American Control Conference, Vol. 3, 01.12.1999, p. 1727-1733.

Research output: Contribution to journalConference article

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AU - Christofides, Panagiotis D.

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N2 - Robust static output feedback controllers were synthesize for systems of quasi-linear parabolic partial differential equations with time-dependent spatial domains and uncertain variables. The proposed controllers guarantee boundedness of the state and output tracking with arbitrary degree of asymptotic attenuation of the effect of the uncertain variables on the controlled output of the closed-loop system, provided that the separation between the slow and fast dynamical phenomena is sufficiently large. The controllers are successfully applied to a typical diffusion-reaction process with moving boundary and uncertainty.

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