The development of an LQR-based control algorithm for the Canadian advanced nanospace eXperiment (CanX)-4&5 formation flying nanosatellite mission is described. To facilitate an analytical stability proof of the algorithm, elements of the non-linear and continuous system are linearized and discretized. A suitable state for the system is selected and the algorithm is converted into a discrete linear time-varying system that is very nearly periodic. The stability of the system is then determined by means of discrete Floquet theory. This analysis is applied to the CanX-4&5 algorithm during its primary mission of testing along track orbit formations and projected circular orbit formations. The analysis is also applied to the algorithm while executing a quasi J2-invariant formation. The results in all cases indicate stability. Finally, for the quasi J2-invariant formation the control authority of the algorithm is reduced until the stability limit is approached and the minimum Δ V required to maintain the formation is found.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    The stability analysis of a discrete-time control algorithm for the Canadian advanced nanospace eXperiment-4&5 formation flying nanosatellites


    Contributors:
    Eyer, J K (author) / Damaren, C J (author)


    Publication date :

    2009-04-01


    Size :

    12 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English





    Canadian Advanced Nanospace eXperiment 2: Scientif...

    Sarda, Karan / Eagleson, Stuart / Caillibot, Eric et al. | AIAA | 2005


    Earth Observation Using Japanese/Canadian Formation Flying Nanosatellites

    van Mierlo, M. / Yoshihara, K. / Ng, A. et al. | British Library Conference Proceedings | 2010


    Canada's Smallest Satellite: The Canadian Advanced Nanospace eXperiment (CanX-1)

    Wells, G. J. / Stras, L. / Jeans, T. | British Library Conference Proceedings | 2002


    Analysis of Formation Flying Control of a Pair of Nanosatellites

    S. M. Veres / S. B. Gabriel / D. Q. Mayne et al. | AIAA | 2002