Active Shape Adjustment of Large Cable-Mesh Reflectors Using Novel Fast Model Predictive Control
Publication: Journal of Aerospace Engineering
Volume 31, Issue 4
Abstract
Active shape adjustment of a cable-mesh reflector is a significant procedure to compensate the effects of a complicated space environment in orbit. In this paper, the active shape adjustment of a large cable-mesh reflector with actuators is addressed, and the dynamic input voltage profiles of actuators are estimated using a novel fast model predictive control method. The electromechanical coupling dynamic model of the cable-mesh reflector with piezoceramic (PZT) actuators is first established by using piezoelectric constitutive equations and Hamilton’s principle. For a certain shape distortion, the dynamic control voltage profiles are then obtained via the novel fast model predictive control method in which the structural dynamics model is reformulated as a novel explicit repression form to avoid the computations of matrix exponential. Additionally, some fast computation strategies based on the Newmark- method are used to increase computational efficiency. Finally, a 30-meter diameter cable-mesh reflector is chosen as a numerical example, and the simulation results demonstrate that the proposed control algorithm provides a valid and efficient solution for the shape control of large cable-mesh reflectors.
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Acknowledgments
This work is supported by the National Natural Science Foundation of China (11372056, 11472069, and 11502040). Additionally, we would like to thank Dr. Chen for his support in this work.
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Published In
Journal of Aerospace Engineering
Volume 31 • Issue 4 • July 2018
Copyright
©2018 American Society of Civil Engineers.
History
Received: Jul 15, 2017
Accepted: Dec 8, 2017
Published online: Apr 24, 2018
Published in print: Jul 1, 2018
Discussion open until: Sep 24, 2018
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