An alternative to the usual adaptive noise cancelling method devoted to removing interference is presented. In the conventional methodology to implement adaptive cancellers a reference signal is necessary correlated with the interference. This requirement (not always possible) is a limitation of this kind of canceller. The paper shows the use of model reference adaptive systems (MRAS), designed by using hyperstability theory, in order to cancel interference without the requirement of an auxiliary input. In the proposed methodology it is not necessary to have a reference signal to identify the interference; it is enough to know the upper and lower boundaries of this interference. Peer Reviewed