AbstractGraph theoretic techniques are used to study controllability of linear systems which could represent large flexible orbiting space systems with inherent damping. The controllability of the pair of matrices representing the system state and control influence matrices is assured when all states in the model are reachable in a digraph sense from at least one input and also when the term rank of a Boolean matrix whose non trivial components are based on the state and control influence matrices has a term rank of the order of the state vector. It is seen that the damping matrix does not influence the required number of actuators but gives flexibility to the possible locations of the actuators for which the system is controllable, and that the stiffness matrix term rank deficiency dictates the number as well as the location of the required actuators. Specific examples include a model of a shallow spherical orbiting shell where both orientation and shape control are required, and also a smaller dimensional numerical example (unrelated to the shell) which readily demonstrates the effect of damping.


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    Titel :

    Controllability of inherently damped large flexible space structures


    Beteiligte:

    Erschienen in:

    Acta Astronautica ; 10 , 5-6 ; 357-363


    Erscheinungsdatum :

    1983-01-06


    Format / Umfang :

    7 pages




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch