Abstract Linear single-input single-output discrete-time systems P ( z ) with unknown parameters, order and relative degree are considered, which are perturbed by biased sinusoidal disturbances. Under the assumption that the disturbance frequencies, the sign of the static gain P ( 1 ) , the sign of either Re [ P ( e j ω i ) ] or Im [ P ( e j ω i ) ] , for any disturbance frequency ω i , are known, linear disturbance compensators are proposed which achieve exponential disturbance suppression. Such results are then locally extended to the case of disturbances with unknown frequencies.
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