Optimal and robust control of acoustic/structure interactions in a cavity using state estimate

The control of the behavior of coupled systems under the influence of an external force is studied. In particular, the control of structural displacements and pressure fluctuations resulting from fluid/structure interactions is considered. For this purpose the system under consideration is assumed to be a two-dimensional cavity, bounded by hard walls on three sides and by a flexure on the remaining side. This flexible boundary is subjected to an external periodic force. The control of vibrations set in this flexure due to the external force, and thereby generated pressure fluctuations in the cavity, are studied using optimal and robust control and estimation techniques. The structural displacement of the flexure is sensed by a sensor and it generates a feedback for the control law. Such a system with an inbuilt observer and control is called the Composite Closed Loop System (CCLS).