Frequency domain adaptive control for active vibration and noise control problems

Interaction of online worst-case frequency domain estimation and compensation is discussed in this paper for a case study of active vibration control. Adaptation of the compensator is performed on a finite set of dominant frequencies of the vibration. Online identification is based on the calculation of polygon bounds of the feasibility sets of complex gains and uncertainties are taken into account. An important feature of the scheme is its robustness against spike outliers in the measurements which are in excess of sensor errors. Low sensitivity to occasional outliers is not to the detriment of fast adaptation to dynamic changes. Updating of the compensator is carried out conditionally, based on the "stability" of the uncertainty sets of the complex gains. The combined estimation and control scheme is stable. The results presented are improvements upon schemes published earlier in the area of frequency selective adaptive control.