Abstract
The optimal locations of colocated transducers for static and dynamic output feedback control of sound transmission through an aeroelastic plate are investigated. The model of a convected fluid loaded plate coupled to a cavity is presented. The physical dimensions and parameters of the model are chosen to approximate a small commercial aircraft. Development of two optimization approaches is discussed in detail. The first method uses the Sequential Quadratic Programming nonlinear optimization algorithm to minimize the H2 Norm of the complete system from the disturbance inputs to a weighted sum of cavity acoustic potential energy and feedback control signal energy. The second method utilizes a simple line search routine to maximize a measure of system controllability. Case studies optimizing a control system with one and three sensoriactuator transducers are presented for external flow speeds varying from Mach 0.1 to Mach 1.1. Results show the variation in optimum transducer placement for both the static and dynamic control systems over the range of flow speeds considered. A comparison of the optimal placement determined by each optimization approach is also given. [Work suported by NSF Career Program CMS-9501470.]
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