On the effect of electrical uncertainties on resonant piezoelectric shunting

摘要

In this paper we study the effect of electrical uncertainties on resonant piezoelectric shunting. Simple closed-form formulas for quantifying the performance loss due to deterministic variations of the electrical elements are derived, and validated through numerical tests. The effect of stochastic perturbations is also considered, manageable formulas are provided, and validated by Monte Carlo simulations. The analyses focus on forced vibrations, and the arising H_∞ optimization problem is solved by making use of fundamental properties of the system transfer function.