A differential-delay estimator for thermoacoustic oscillations in a Rijke tube using in-domain pressure measurements - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2020

A differential-delay estimator for thermoacoustic oscillations in a Rijke tube using in-domain pressure measurements

Résumé

In this work, we study the observer design problem for estimating thermoacoustic instabilities in a Rijke tube, using an in-domain point pressure measurement. Writing the system model in Riemann coordinates and, after a "folding transformation", it takes the form of 4 × 4 linear hyperbolic partial differential equations (PDEs) coupled at the boundaries with a linear ordinary differential equation (ODE). This results in a PDE-ODE observer design problem, whose output is a combination of two infinite-dimensional states measured inside the domain. As a first step in our observer design, a second "folding" transformation is applied around the measurement point, resulting in a 6 × 6 PDE-ODE system with measurements at one boundary. Then, the observer is designed as a copy of these equations plus an output injection term, which is given by a linear operator in the right-hand side of the ODE part. This operator is then chosen so that convergence of estimates is guaranteed by using stability properties of differential-delay systems. The design extends a previous result, based on backstepping, that required two measurements (both pressure and velocity). Simulation results are presented to illustrate the effectiveness of the proposed observer design.
Fichier principal
Vignette du fichier
An observer for estimation of thermoacoustic oscillations in a Rijke tube based on in-domain pressure measurements.pdf (756.13 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02931069 , version 1 (04-09-2020)

Identifiants

Citer

Jean Auriol, Gustavo Artur de Andrade, Rafael Vazquez. A differential-delay estimator for thermoacoustic oscillations in a Rijke tube using in-domain pressure measurements. 2020 59th IEEE Conference on Decision and Control (CDC), Dec 2020, Jeju Island, South Korea. ⟨10.1109/cdc42340.2020.9304480⟩. ⟨hal-02931069⟩
46 Consultations
44 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More