In this paper, active control of thermoacoustic instabilities is studied using a particular feedback control law and a mathematically novel perspective. The instabilities result from the complex dynamic exchange between the unsteady heat release and the pressure oscillations in a finite volume. A laboratory-scale Rijke tube, which is a simple thermoacoustic device, is considered in the paper. When linearized, its dynamics exhibits the neutral characteristics with multiple delays. To suppress the instabilities in this setting, a time-delayed integral control law is synthesized, and its performance is studied in detail. A recent mathematical paradigm, called the cluster treatment of characteristic roots is used to accomplish the stabilization of the time-delayed system. The paradigm declares exact stability conditions in the space of the system parameters. The analytical findings in this document are also validated with experimental results.
Deployment of Time-Delayed Integral Control for Suppressing Thermoacoustic Instabilities
Journal of Guidance, Control, and Dynamics ; 39 , 10 ; 2284-2296
2015-09-23
13 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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