Linear quadratic optimization is applied to an ideal vehicle without kinematics linearization for exoatmospheric vector guidance interception. Adopting an idea from bounded control approach, a linear guidance law is presented, where time to go is calculated either open-loop or as the smallest positive real root of a quartic polynomial equation. In the later case, feeding the time to go back into the linear guidance law results in a nonlinear guidance law. As a consequence, a nonlinear closing speed is used, suitable even in case the range diverges for some limited period of time. Moreover, a dispersal surface is presented that separates “first-pass” interception (in which the range decreases throughout the flight) from “second-pass” interception (in which the range decreases, increases, and finally decreases).


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    Title :

    Exoatmospheric Interception via Linear Quadratic Optimization


    Contributors:

    Published in:

    Publication date :

    2019-01-22


    Size :

    8 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English