Adaptive controller using filter banks to reject multi-sinusoidal disturbance

The purpose of this paper is to apply "lter banks to the control problem involving the rejection of multi-sinusoidal disturbance from output of slowly time-varying stable systems. The use of "lter banks allows to distribute the control e!ort in many independent adaptive controllers, each of them taking care of a sinusoidal component of the disturbance. By varying the "lter banks speci"cations, the method handles the trade-o! between a time-behavior controller, with interesting settling time and a tonal-behavior controller showing the properties of simpli"ed control, reduced computational time and on-line system identi"cation with the system output noise via the feedback loop. Numerical examples are presented to illustrate this trade-o!. ( 2000 Elsevier Science Ltd. All rights