Small-Time Local Controllability and Stabilizability of Spacecraft Attitude Dynamics under CMG Actuation

The purpose of this paper is to examine whether the presence of singular configurations poses an obstruction to the small-time local controllability (STLC) and stabilizability of the attitude dynamics of a spacecraft actuated by single-gimbal control moment gyroscopes (CMGs). We identify a class of...

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Bibliographic Details
Published in:SIAM journal on control and optimization 2014-01, Vol.52 (2), p.797-820
Main Authors: Bhat, Sanjay P, Paranjape, Aditya A
Format: Article
Language:English
Subjects:
Algorithms
Angular momentum
Arrays
Control moment gyroscopes
Controllability
Dynamics
Equilibrium
Kinematics
Obstructions
Optimization
Spacecraft
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Summary:The purpose of this paper is to examine whether the presence of singular configurations poses an obstruction to the small-time local controllability (STLC) and stabilizability of the attitude dynamics of a spacecraft actuated by single-gimbal control moment gyroscopes (CMGs). We identify a class of singular CMG configurations called critically singular configurations, at which the linearized dynamics fail to be controllable. Linear controllability, and hence STLC and stabilizability, hold at equilibria in which the CMG array is in a nonsingular or singular, but not critically singular, configuration. We give sufficient conditions and necessary conditions on critically singular configurations for STLC to hold. In particular, we show that STLC and stabilizability fail to hold at an equilibrium if the magnitude of the total spin angular momentum of the CMG array has a local maximum at the equilibrium. [PUBLICATION ABSTRACT]
ISSN:0363-0129
1095-7138
DOI:10.1137/130918903