Abstract
Consider the NASA Deep Space Network DSS-13 antenna rate loop model (see Fig. 2; for details of the model see Ref. 2). It consists of the antenna structural model and models of elevation and azimuth drives. The 35-state rate loop model has three poles at zero and is reduced while using balanced antigrammians; their singular values are shown in Fig. 3. By deleting the states with the largest singular values, the model has shrunk from 90 states to 27 states. The reduced model preserves the full-model properties, as illustrated by the frequency-response plots in Fig. 4.
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