It is well known that vibration-based damage detection methods lack sensitivity in modal frequencies to
small changes in mass, stiffness, and damping parameters induced by damage. To circumvent this deficiency, in this paper a scheme through feedback control together with coherence method is first
employed to enhance sensitivity the occurrence and location of damage through few of the lower natural frequencies. This sensitivity enhancement is based on pole placement from a single-point feedback control to compute the control gains. Relying on a priori knowledge of how certain damage scenarios affect modal
properties, a coherence method correlates measured and predicted modal frequency shifts for a given set of damage scenarios to locate the damage. Numerical results show that the method with closed-loop control increases both the accuracy of locating damage and the ability to tolerate environmental noise. Subsequent to the fine sensitivity to locating the damage position, restoration to original dynamic structural performance in terms of few of the lower natural frequencies of the damaged structure is conducted by the feedback control using distributed actuation surrounding the damage area (multi-point control). Simulation results show that the dynamic characteristics of damaged structures can be successfully restored by applying distributed actuation that can be induced from the voltage by the distributed piezoelectric actuators.
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