Abstract
The objective of this paper is to develop a control system design method that 1) recognizes the time dependence of the thermal distortion due to orbital motion and 2) controls variables that are directly related to far-field performance for Earth-pointing space antennas. The first objective is accomplished by expanding the distortion into principal components that are orthogonal in space and time. Actuator strokes become a linear combination of the time-dependent components. The spatial components provide a natural space in which to determine the optimal actuator locations and act as basis vectors for extrapolating sensor measurements to the entire antenna surface. The approach for the second objective is to expand the far zone electric field in a Zernike-Bessel series. The coefficients of this series provide a reliable measure of far-field performance and a natural cost function for designing the control system. The method accommodates tapered feeds and arbitrary polarizations. Simulations are performed for a geosynchronous radiometer to determine the effectiveness of the control system under variations in solar geometry, structure materials, and thermal properties.
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