Abstract There exists a singularity problem in control moment gyros (CMGs). CMG singularities are classified into two types: hyperbolic and elliptic. Several gimbal steering control methods have been presented to avoid CMG singularities. Hyperbolic singularities can be avoided by null motion, but elliptic singularities cannot. The existing steering control methods are rarely designed by explicitly taking the singularity type into account. In order to effectively avoid elliptic singularities by perturbing gimbal angles, it is desirable to calculate and record the boundaries between elliptic and hyperbolic singularities in advance so that the determined boundaries can be utilized for developing model predictive steering control. To this end, the boundaries between elliptic and hyperbolic singularities of CMGs are calculated and represented in the form of fitted curves. Several numerical examples are presented to determine the perturbation gimbal angles for avoiding elliptic singularities without using singular value decomposition.

    Highlights The boundaries between the elliptic and hyperbolic CMG singularities are fitted. The singularity type can be determined without single value decomposition. The local gradient-based method is ineffective for elliptic singularity avoidance. The necessary gimbal angle perturbation for avoiding elliptic singularities can be determined. The minimization-based method is effective at avoiding elliptic singularities.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Calculation and fitting of boundaries between elliptic and hyperbolic singularities of pyramid-type control moment gyros


    Contributors:

    Published in:

    Acta Astronautica ; 104 , 1 ; 33-44


    Publication date :

    2014-07-10


    Size :

    12 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English