Singular Direction Escape Steering Law for Control Moment Gyros
Publication: Journal of Aerospace Engineering
Volume 30, Issue 5
Abstract
This paper proposes a new singularity direction escape steering law for control moment gyros (CMG) using singular value decomposition (SVD). The proposed steering law differs from the classical singular direction avoidance (SDA) steering law in two respects. First, torque errors are introduced in the direction of the smallest two singular values through modification of the diagonal matrix. This is done by tuning parameters related to the magnitude of torque error so that both singularity avoidance and escape performance can be achieved. Second, instead of using a conventional singularity measure, new output torque metrics of the CMG cluster along the torque command direction are introduced and adopted in this steering law, so as to reduce unnecessary torque error for certain near-singular circumstances. Several numerical simulations are provided at last, and comparisons with existing steering laws are presented to demonstrate the superior performance of the proposed method.
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Acknowledgments
This research work was supported partially by National Basic Research Program of China (973 Program) (Grant No. 2012CB720000), the National Natural Science Foundation of China (Grant Nos. 61403103 and 61304005), China Postdoctoral Science Foundation (Grant No. 2014M550195) and Fundamental Research Funds for the Central Universities (Grant No. HIT.NSRIF.2014035,2014139).The authors would like to highly acknowledge these funding sources.
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©2017 American Society of Civil Engineers.
History
Received: Feb 27, 2015
Accepted: Nov 16, 2016
Published online: Mar 24, 2017
Discussion open until: Aug 24, 2017
Published in print: Sep 1, 2017
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