ABSTRACT
We propose an active noise control method dedicated to the large class of problems corresponding to the rejection of unwanted frequencies with or without an uncertainty margin. We focus on a robust control methodology avoiding the stochastic adaptive methods and the reference microphones in order to propose a solution easy to implement in real time applications. Concurrently, this choice implies an accurate identification of the dynamical model used for the controller synthesis, in particular for the phase response which involves an important number of zeroes in the transfer function. We use a robust pole placement controller with shaping of the sensitivity function because this approach allows us to choose the frequencies to be rejected and to adjust the width of the rejection band. The stability robustness is guaranteed by the respect of the modulus margin and the delay margin. The experimental results obtained in real time applications prove the validity of our approach. They are very good in the narrow band problem and average in the broad band problem. They prove that our method appears to be a relevant candidate to the narrow band problem either in terms of performances or in terms of simplicity of implementation in practical applications.
