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This article deals with the design of passive and active vibration absorbers combining passive absorbers, differential flatness and Generalized PI and sliding-mode control techniques to attenuate harmonic vibrations affecting a mechanical system. Two different control schemes are considered, one employing only position measurements of the mass carriage to be controlled (dynamic feedback controller) and other using measurements of the position mass carriage and the excitation frequency (dynamic feedback and feedforward controller). The controllers are developed in the context of an off-line prespecified reference trajectory tracking problem. Some numerical simulations are included to illustrate the frequency response of the different vibration absorbers and dynamic performance of the closed loop system.