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Closed-form Grammians and model reduction for flexible space structures

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1 Author(s)
Williams, T. ; NASA Langley Res. Center, Hampton, VA, USA

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

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Automatic Control, IEEE Transactions on  (Volume:35 ,  Issue: 3 )