Closed-form Grammians and model reduction for flexible space structures

The author derives analytical expressions for the Grammians of a model given in modal coordinates for the dynamics of a flexible space structure (FSS). These expressions are then used as the basis for a new algorithm to compute a dominant reduced-order model for such a system in an efficient manner. The resulting reduced-order model is obtained directly rather than by truncating a balanced model of the entire system, thus giving rise to significant efficiency gains for the typical FSS case where the reduced-order model is of very much lower order than the original system.>