Minimizing the effect of out of bandwidth modes in the truncated assumed modes models of structures

The assumed modes modelling of structures and acoustic systems results in infinite-dimensional models. For control design purposes, these models are simplified by removing higher frequency modes which lie outside the bandwidth of interest. Truncation can considerably perturb the in-band zeros of the truncated model. This paper suggests a method of minimizing the effect of the removed higher order modes on the low frequency dynamics of the truncated model by adding a zero frequency term to the low order model of the system