Model reduction with weighted modal cost analysis
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1990 American Institute of Aeronautics and Astronautics, Inc. All rights reserved. Analytical expressions are developed for the control ability Grammian rnatrix and for the modal costs when the disturbances to the flexible structures axe modeled as colored noise processes which have only finite bandwidth. This new algorithm is called Weighted Modal Cost Analysis, and is the generalization of the theory of Modal Cost Analysis for which the disturbances are assumed as white noise processes which have infinite bandwidth. Comparing to the conventional numerical procedure, the closed form expression derived for controllability Grammian and modal costs are more efficient and more accurate and are thus quite useful in model reduction processes, especially for high order systems since no interations are required to solve the Lyapunov equation.
