In this paper, a novel method is used to analyze the capture area of three-dimensional general ideal proportional navigation (GIPN) guidance laws. Using a line-of-sight (LOS) fixed natural coordinate and three modified polar variables (MPVs), the expression of relative dynamics between target and missile becomes simple, and no trigonometric functions are involved, which makes possible the analysis of the capture region when both target and missile are subject to bounded maneuverability. It can be shown that the determination of the desired capture area requires only the first two of the MPVs no matter if the maneuverability of missile and target are bounded or not. For the case of unbounded missile acceleration and known target acceleration, the capture region can be found analytically, while for the other cases, the capture region can be obtained graphically in a two-dimensional phase plane. The boundaries of these capture regions are characterized by the stable and unstable manifolds of related equilibrium points, which can only be determined numerically in general at this moment. The results of this work indicate that knowing the target acceleration and utilizing larger navigation coefficients increase the area of the capture region, which agrees with known results in literature.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Capture Region of a GIPN Guidance Law for Missile and Target with Bounded Maneuverability


    Contributors:
    Feng Tyan, (author)


    Publication date :

    2011-01-01


    Size :

    3794614 byte




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English




    Target Maneuver Adaptive Guidance Law for a Bounded Acceleration Missile

    Atir, Ronen / Hexner, Gyorgy / Weiss, Haim et al. | AIAA | 2010


    Target Maneuver Adaptive Guidance Law for a Bounded Acceleration Missile

    Atir, R. / Hexner, G. / Weiss, H. et al. | British Library Conference Proceedings | 2009


    Target Maneuver Adaptive Guidance Law for a Bounded Acceleration Missile

    Atir, Ronen / Hexner, Gyorgy / Weiss, Haim et al. | AIAA | 2009