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We propose a framework based on the use of a set of beampattern shaping constraints. The proposed beamformer possesses not only adaptive interference-rejection ability and robustness against large steering direction errors, but also direct sidelobe control. It contains a new weighing ratio that can automatically control the relative proportions of interference-rejection and sidelobe suppression in different scenarios, without ambiguity. Unlike other beamformers, the proposed beamformer is robust against strong moving interferences, requiring only a coarse estimation of their directions-of-arrival. The generic framework encompasses different optimization strategies for specific application problems.