Tatsuya Izumi

LMI design of frequency domain LMS filters for active noise control

Abstract Recently, a frequency-domain adaptive filter design method for active noise control has been proposed based on the so-called least mean square algorithm. However, this method does not sufficiently exploit the degree of freedom of the step parameter of the recursive rule in the case where a priori information on an uncertain plant is available. This paper proposes a design method of the step parameter such that noise cancellation is guaranteed against the plant uncertainty. The design problem of the step parameter is reduced to a semidefinite programming problem which is efficiently solvable. Experimental results are provided to illustrate the effectiveness of the proposed method.