Vibration control of smart structures with bonded PZT patches: novel adaptive filtering algorithm and hybrid control scheme

This paper focuses on a novel adaptive filtering algorithm, hybrid adaptive control scheme and their application to real-time vibration control of smart structures. A novel adaptive filtering algorithm is presented and compared with the least mean square algorithm, showing a faster convergence rate, better noise-smoothing capability and wider search field. A hybrid adaptive control scheme is then proposed and analyzed. The scheme takes advantage of both feedback control and feedforward control and provides the high damping, fast vibration suppression, good robustness and easy realization due to small computation complexity. The novel adaptive filtering algorithm and the hybrid control scheme are verified on a cantilever beam with four bonded PZT patches. Satisfactory vibration reduction has been observed for both single-input and single-output, and multi-input and multi-output, control cases under sinusoidal, swept frequency sinusoidal and random disturbances, confirming the reliability and validity of the novel adaptive filtering algorithm and the hybrid adaptive control scheme.