Compensating for the truncation error in models of resonant systems that include damping

Presents analytical solutions to the problem of compensating for the truncation error in the pointwise and spatial models of resonant systems that include damping. Adding a feedthrough term reduces the uncertainty associated with the truncated model, which has an important role in ensuring the robustness of the closed-loop system. The optimal feedthrough terms minimize the weighted H₂ norm and spatial H₂ norm of the error systems associated with the pointwise and spatial models respectively. Through simulations, the effectiveness of this model in correcting the zero locations and zero-frequency content of the reduced order models is demonstrated.