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

Abstract

Youla-Kucera parametrization 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 emphasize the advantages of using Youla-Kucera parametrization. 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.

Interpolation of multi-LPV control systems based on Youla–Kucera parameterization

“…k,i ) which are Hurwitz ∀i, j. The coprime factors are computed at each vertex ν i using the statespace representations written in ( 6)- (7).…”

“…The YK parameterization has been successfully applied to several domains such as: 1) Noise/vibration control [7]; 2) Interpolation between robust and high performance controllers [4]; and 3) Control systems subjected to convex constraints [3]. A significant literature review of YK work including its recent applications can be found in [10].…”

Advances in Youla-Kucera parametrization: A Review

“…During the last two decades, the use of YK parameter Q in noise and vibration rejection evolved from rejecting a known signal with a given frequency to variable known and unknown spectral characteristics. Different im plementations of the YK parameter Q are proposed according to the disturbance type Landau (2018) .…”

“…Then, the YK parameter Q is deduced to switch from the nominal controller to the updated one (see Section 3 ). In direct configuration, a tuning algorithm is developed to define design adaptive Finite Impulse Response (FIR) or Infinite Impulse Response (IIR) compensators as a YK parameter Q and update directly the controller that minimizes the residual noise Landau (2018) .…”

“…It presented 20 years of theoretical development from its origin in the late 70s up to 1998, with special emphasis in Q design for H ∞ and H 2 solutions; closed-loop identification; and some preliminary results in nonlinear systems and disturbance rejection. More recently, a review on the use of YK parametrization in the specific problem of disturbance and noise rejection is provided in Landau (2018) . However, this useful tool has given other successful applications in the last two decades.…”