Boundary Feedback Control of Unstable thermoacoustic Oscillations in the Rijke Tube

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• 作者：Gustavo A. de Andrade^* ; ^{gustavo.artur@posgrad.ufsc.br" class="auth_mail" title="E-mail the corresponding author} ; Rafael Vazquez^** ; ^{rvazquez1@us.es" class="auth_mail" title="E-mail the corresponding author} ; Daniel J. Pagano^* ; ^{daniel.pagano@ufsc.br" class="auth_mail" title="E-mail the corresponding author}
• 关键词：boundary control ; method of characteristics ; thermoacoustic instability ; Rijke tube ; stabilization
• 刊名：IFAC-PapersOnLine
• 出版年：2016
• 出版时间：2016
• 年：2016
• 卷：49
• 期：8
• 页码：48-53
• 全文大小：1302 K

文摘

The problem of boundary stabilization of thermoacoustic oscillations is investigated. The Rijke tube is used as prototype system to study such phenomena. We consider that this system is modelled as a 2 x 2 linear first-order hyperbolic system that behaves like a wave equation with the control variable at one boundary condition. Our control approach is based on employing characteristic coordinates to convert the system into a system of two delay elements. Analysing the periodicity of the solution of these equations a discrete transfer function is obtained. This enable us to employ a discrete time domain control design to guarantee the exponential stability of the closed-loop system. The performance of the controller is evaluated through simulation results.