Why one should use Youla-Kucera parametrization in adaptive feedforward noise attenuation?

Abstract : A crucial problem in adaptive feedforward noise attenuation is the presence of an "internal" positive acoustical feedback between the compensation system and the reference source which is a cause of instabilities. Adaptive algorithms for feedforward active compensation having an infinite impulse response (IIR) or a finite impulse response (FIR) structure have been developed from a stability point of view. Nevertheless, in order to separate the problem of stabilizing the internal positive feedback loop from the minimization of the residual noise, the Youla-Kučera (YK) parametrization of the feedforward compensator has been proposed and algorithms have been developed from a stability point of view. Since the stability of the internal loop is a key issue in practice, the present paper using an unified presentation of the algorithms available discusses the stability conditions associated with the various algorithms and their properties. It is shown that the FIRYK configuration offers, from the stability point of view, the best option. Experimental results obtained on a relevant test-bench will illustrate the theoretical analysis.
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Ioan Doré Landau, Tudor-Bogdan Airimitoaie, Raúl Meléndez, Luc Dugard. Why one should use Youla-Kucera parametrization in adaptive feedforward noise attenuation?. 58th IEEE Conference on Decision and Control (CDC 2019), Dec 2019, Nice, France. ⟨hal-02190768⟩

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