Multimodal NC-piezoelectric shunt-damping based on weighted 𝑯_∞-norm

Abstract

Piezoelectric NC-shunt damping is a technique for vibration suppression by connecting an external circuit called the NC-shunt circuit (Negative capacitor shunt circuit) to a piezoelectric element attached to a mechanical structure. In this paper, we formulate the multimodal NC-piezoelectric shunt-damping problem by minimizing the weighted 𝐻_∞-norm, which enables to evaluate multiple resonance peaks. We have carried out simulations and experiments in order to evaluate the effectiveness of the proposed method, discussed the mismatch between simulation and experiment in terms of stability margin, and improved the parameter tuning method.