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Abstract
Distributed adaptive controllers are developed for attitude tracking and synchronization on SO(3) of multiple flexible spacecraft under a directed graph. Since not all spacecraft can receive the virtual leader's information, a finite-time observer is designed for each follower spacecraft to estimate the moving virtual leader's information. An adaptive controller is then proposed to realize the distributed attitude tracking synchronously and achieve the bounded flexible vibration. A rigorous theoretical proof is presented based on the separation principle. Furthermore, an adaptive controller with a modal variable observer is designed for the case without the measurements of the modal variables. Finally, numerical and experimental verifications are presented.
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