Minimizing the effect of out-of-bandwidth dynamics in the models of reverberant systems that arise in modal analysis: implications on spatial H-infinity Control

The modal approach to modeling of structures and acoustic systems results i n infinite-dimensional models. For control design purposes, these models ar e simplified by removing higher frequency modes which lie out of the bandwi dth of interest. Truncation can considerably perturb zeros of the truncated model. This paper suggests a method of minimizing the effect of removed hi gher-order modes on the spatial low-frequency dynamics of the truncated mod el by adding a spatial zero-frequency term to the low-order model of the sy stem. The paper also studies implications of this approach on spatial H-inf inity control of reverberant systems. (C) 2000 Elsevier Science Ltd. All ri ghts reserved.