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This paper presents an Active Tuned Mass Damper (ATMD) control approach for vibration reduction applied to a one-bay three-story scaled shear frame. The ATMD is composed of a Tuned Mass Damper (TMD) driven by the combined action of a modified Positive Position Feedback (mPPF) control law and a Model Predictive Controller (MPC). The mPPF and the MPC are in an inner and outer loop configuration. In the inner control loop, the mPPF strategy compensates for the first vibration modes at low frequencies and pre-stabilizes the structure; while, in the outer loop, the MPC controller considers the actuator limits ensuring constraint satisfaction and softening the control action. A critical advantage concerning to mPPF controller is its design is based only on the natural frequencies, which are relatively easy to estimate around an experimental test. Furthermore, the MPC allows generalizing the controller design …