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 f
or the average values of a quadratic measure of the distortion in term
s of mean values and covariances of member length errors are developed
. An example of a 150-member antenna truss is used to assess the perfo
rmance of static shape control Kith active members used as collocated
sensors and actuators. Actuator locations are selected based on geneti
c algorithm optimization, It is found that performance is poor even wh
en large numbers of sensor-actuator pairs are used. This indicates tha
t it may not be practical to rely on incomplete measurements of member
distortions to achieve reasonable levels of shape control.