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Broadband sensor and actuator selection for active control of smart structures

This paper advances the state of the art in the selection of minimal configurations of sensors and actuators for active vibration control with smart structures. The method extends previous transducer selection work by (1) presenting a unified treatment of the selection and placement of large numbers of sensors and actuators in a smart structure, (2) developing computationally efficient techniques to select the best sensor-actuator pairs for multiple unknown force disturbances exciting the structure, (3) selecting the best sensors and actuators over multiple frequencies, and (4) providing bounds on the performance of the transducer selection algorithms. The approach is based on a novel, multidimensional householder QR factorization algorithm applied to the frequency response matrices that define the vibration control problem. This paper presents the theoretical development of the method, as well as experimental results from active vibration control demonstrations for the ARPA SPICES (synthesis and processing of intelligent cost-effective structures) project.