On the use of Youla–Kucera parametrisation in adaptive active noise and vibration control – a review

Youla–Kucera parametrisation plays a very important role in adaptive active vibration control and adaptive active noise control. This concerns both vibration and noise attenuation by feedback as well as by feedforward compensation when a measurement of an image of the disturbance (noise or vibration) is available. The paper will review the basic algorithms and various extensions trying to emphasise the advantages of using Youla–Kucera parametrisation. Specific aspects related to the use of this approach in adaptive active vibration and noise control will be mentioned. A brief review of applications and experimental testing will be provided.Abbreviations: ANC: Active noise control system; AVC: Active vibration control system; FIRYK: Youla–Kucera parametrised FIR adaptive feedforward compensator using an FIR Youla–Kucera filter; IIR: IIR adaptive feedforward compensator; IIRYK:Youla–Kucera parametrised IIR adaptive feedforward compensator using an IIR Youla–Kucera filter; IMP: Internal model principle; PAA: Parameter adaptationalgorithm; QFIR: Youla–Kucera FIR filter; QIIR: Youla–Kucera IIR filter; SPR: Strictly positive real (transfer function); YK: Youla–Kucera