Indirect adaptive regulation strategy for the attenuation of time varying narrow-band disturbances applied to a benchmark problem

The paper presents an indirect adaptive regulation algorithm for the attenuation of unknown narrow-band disturbances. The main features of this new scheme are (i) the use of adaptive Band-stop Filters (BSFs) tuned at the frequencies of the disturbance and (ii) a procedure for direct identification of frequencies contained in the disturbance. The use of adaptive BSFs allows one to introduce the desired attenuation of the disturbance (instead of total rejection) and simplifies the shaping of the output sensitivity function (to meet the specification for the tolerated amplification outside the frequencies of the disturbance). The proposed approach is evaluated on the benchmark simulator and on the benchmark active vibration control system.