A single-step automatic tuning algorithm for the delayed resonator vibration absorber

The delayed resonator (DR) is an active vibration control approach where a passive mass-spring-damper arrangement is converted into an undamped real-time tunable dynamic absorber using partial state feedback with time delay. In the presented work, robustness of the control strategy against fluctuations in the structural parameters of the controlled system is addressed. A single-step automatic tuning algorithm based on online parameter identification is developed as a means of increasing robustness against uncertainties and variations in the mechanical properties of the absorber arrangement. The tuning process is completed within the absorber section of the controlled system with no external information from the primary structure. Implementation of the algorithm is illustrated by a numerical example, and demonstrated experimentally on a clamped-clamped flexible beam.