Abstract
An application is presented of π synthesis to the robust control of a large e exible space structure experimental testbed called Daisy. A perturbed left-coprime factorization of Daisy’ s dynamics is used to capture the uncertainty in the modes. Designs of the π synthesis controller based on left-coprime factorizations of 46th-order collocated and noncollocated models of Daisy are presented together with simulation and experimental results. These results are compared to those obtained with H1 H1 controllers, and it is shown that the π controllers performed better. These controllers provide robust performance with respect to given bounds on modal parameter uncertainties without resorting to computationally complex techniques involving real structured perturbations.
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