Feedback control of flow resonances using balanced reduced-order models

S. J. Illingworth, A. S. Morgans, and C. W. Rowley

Journal of Sound and Vibration 330(8) : 15671581, April 2011.

Abstract:

This paper investigates the use of balanced reduced-order models for the feedback control of flow resonances. Specifically, the Eigensystem Realization Algorithm is used to find balanced reduced-order models of the linear dynamics of such flow resonances. The method is applied first to a computational problem in direct numerical simulations of cavity resonances, and then to a lab-scale experiment of combustion oscillations. Although the resulting reduced-order models both have fewer than 10 degrees of freedom, the feedback controllers that are based on them perform very well, with closed-loop stability achieved over a wide range of operating conditions.

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