Resonant control makes use of a controller with a resonance frequency and an equivalent damping ratio. A simple explicit calibration procedure is presented for a family of resonant controllers in which the frequency is tuned to the natural frequency of the targeted mode in such a way that the two resulting modes exhibit identical damping ratio. This tuning is independent of the imposed controller damping. The controller damping is then selected as an optimal compromise between too small damping, and too large damping at which the modal frequencies coincide, and thereby produce undesirable constructive interference. This ‘equal modal damping’ procedure leads to explicit calibration formulae, and produces a nearly level plateau in the frequency response curve with lower response than the traditional double-root calibration.
Resonant damping; Active control; Structural vibration