Compensated velocity feedback for non-collocated active vibration control

Abstract This paper addresses non-collocated vibration control of multi-modal structures such as plates. The challenges of applying this non-collocated configuration in real systems are tackled by proposing a second-order compensator using velocity feedback control. The compensator design aims to use uncontrolled data only, where its parameters are obtained from a measurement of the point-frequency response function at the actuator attachment point (anti-resonance assignment). Compared to other control strategies such as optimal control, no plant model or state estimation is required in the hardware implementation of the controller, making this approach relatively simple. The compensator design is outlined for a generic three-degree-of-freedom system, as its simplicity allows for deeper investigation of the effects of the compensator itself. The proposed design is then experimentally validated by vibration control of a cross-laminated timber panel, considering three closely spaced natural frequencies. Further difficulties encountered in dealing with real world systems are discussed by comparing experimental data with simulations. To achieve this, a model of the electromechanical system composed of the panel and two electrodynamic shakers is used. The parameters of the compensator for the system are then obtained and a sensitivity study to these parameters is carried out by calculating a control performance taking into account filters and the effects of time delay.