An Observer for the Electrically Heated Vertical Rijke Tube with Nonlinear Heat Release

This paper proposes an observer for the electrically heated vertical Rijke tube, using a model capable of inciting thermoacoustic instabilities. The model consists of linear, distributed acoustics coupled with nonlinear, lumped heat release. Using a boundary pressure measurement taken at the bottom...

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Bibliographic Details
Published inIFAC-PapersOnLine Vol. 53; no. 2; pp. 4181 - 4188
Main Authors Wilhelmsen, Nils Christian A., Meglio, Florent Di
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 2020
Elsevier
Subjects
Automatic
Distributed parameter systems
Engineering Sciences
Nonlinearities
Observers
Rijke tube
Thermoacoustics
Observers
Thermoacoustics
Rijke tube
Distributed parameter systems
Nonlinearities
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Summary:This paper proposes an observer for the electrically heated vertical Rijke tube, using a model capable of inciting thermoacoustic instabilities. The model consists of linear, distributed acoustics coupled with nonlinear, lumped heat release. Using a boundary pressure measurement taken at the bottom end of the tube, the observer is designed by copying the system model and reconstructing both the bottom and top boundary conditions, the former exactly and the latter with an error that is shown to be converge to zero exponentially. It is proven that the observer produces state estimates that converge to their correct values asymptotically. Furthermore, it is shown the state estimation errors stay bounded when there is a modelling error in the boundary acoustic impedance. The proposed observer is simulated and compared to two alternative observers.
ISSN:2405-8963
2405-8963
DOI:10.1016/j.ifacol.2020.12.2461