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Blind adaptive beamforming algorithms using cyclostationarity of signals have found numerous important applications in signal processing because they do not depend on any reference signal. However, these methods are based on the assumption that the cycle frequency of the desired signal is precisely known, which may not be true in practice. We propose three efficient robust schemes based on the conventional cyclic adaptive beamforming (CAB) algorithm to combat the mismatch in the cycle frequency. The performance of the proposed techniques is compared with that of existing blind cyclic beamforming approaches by computer simulations, the results of which demonstrate a marked improvement in the robustness against inexact knowledge of the cycle frequency.