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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/109002

    Authors: Tyan, Feng
    Keywords: Capture region;general ideal proportional navigation guidance law;saturation function;zero impact velocity;least square support vector machines
    Date: 2016-05-01
    Issue Date: 2016-12-24 02:10:15 (UTC+8)
    Abstract: In this work, the capture region of the general ideal proportional navigation guidance law is analyzed with the
    following constraints: (i) the target’s input acceleration is subject to independent or magnitude saturation, and (ii) the
    missile’s input acceleration is subject to magnitude saturation. In addition to the case of unbounded maneuverability of
    missile with or without knowing the target acceleration, the necessary and sufficient condition for a bounded maneuvering
    missile that captures a nonmaneuvering target is also derived. Furthermore, the conditions that result in zero impact
    velocity are discovered and discussed in some of the cases. The capture regions that cannot be obtained analytically are
    determined numerically by a powerful classifier, the least square support vector machines. To have the capture region
    ready for least square support vector machines, all the state variables are transformed into modified polar variables and
    non-dimensionalized to reduce the number of independent variables. In order to make the implementation possible in
    real time, an approximation of the Gaussian radial basis function is adopted to obtain the corresponding nonlinear feature
    mapping function. Through numerous numerical experiments, the proposed technique is found to be adequate for
    storing the capture region in an onboard fire control computer.
    Relation: Asian Journal of Control 18(3), pp.899–919
    DOI: 10.1002/asjc.1205
    Appears in Collections:[Graduate Institute & Department of Aerospace Engineering] Journal Article

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