Abstract
The paper addresses the problem of predicting the statistics of shape distortion of space truss structures when measurements are limited to the distortions in a subset of the members of the truss. Expressions for the average values of a quadratic measure of the distortion in terms of mean values and covariances of member length errors are developed. An example of a ISO-member antenna truss is used to assess the performance of static shape control with active members used as collocated sensors and actuators. Actuator locations are selected based on genetic algorithm optimization. It is found that performance is poor even when large numbers of sensor-actuator pairs are used. This indicates that it may not be practical to rely on incomplete measurements of member distortions to achieve reasonable levels of shape control.
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