The positioning of sensors and actuators in the vibration control of flexible systems.

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A method is presented for the determination of sensor and actuator positioning and feedback gains for the active vibration control of flexible structures. This method is based on the minization of the minimum quadratic cost functional in the standard optimal control. The optimal criterion is determined via Riccati equations, and it is minimized with a recursive quadratic pfogramming algorithm with respect to sensor and actuator positioning parameters. The application of this method to a cantilever beam yields several dislocated sensor and actuator locations which are locally optimal. An extension to a case in which modal filters are used is also examined. In this case, the location of the actuator is found to be more sensitive than that of the sensors. This method has clear physical meaning and the flexibility to allow varying of the weighting matrix.

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