淡江大學機構典藏:Item 987654321/70669
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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/70669


    Title: Appoximate Chattering Arc for Practical Maneuvers
    Authors: Chern, J. S.;Hong, Z. C.
    Contributors: 淡江大學機械與機電工程學系
    Date: 1992-01
    Issue Date: 2011-10-23 21:39:51 (UTC+8)
    Abstract: The purpose of this paper is to develop an approximate chattering arc
    for a minimum-time aerobraking maneuver for a shuttle-type space
    vehicle. Theoretically, in chattering arc of the first kind, the control
    chatters between its maximum and minimum values are at an infinite rate.
    As an example, for a flight at a constant altitude, the bank angle
    switches between its positive and negative maximum value arc at an
    infinite rate to generate maximum drag. The resulting flight path is
    along the arc of a great circle and is one-dimensional. We have a
    complete analytic solution for this theoretical chattering arc. In
    practical application, switching of the bank control at an infinite rate
    is not possible. An approximate chattering arc with the bank control
    switches only two times is then introduced. The resulting flight path is
    two-dimensional and there is a penalty of shorter longitudinal range. We
    now allow the vehicle to coast for a short distance and then change to
    approximate chattering arc. The the longitudinal range is satisfied and
    longer flight time (1.11% more) becomes the penalty. Further
    investigation is devoted to the approximate chattering arcs with 3, 4,
    and 5 times of bank control switchings, respectively. The penalty of
    longer flight time is minimized by increasing the number of control switchings and selecting the optimal time instants for the switchings.
    Relation: 18th ICAS Congress,
    Appears in Collections:[Graduate Institute & Department of Mechanical and Electro-Mechanical Engineering] Proceeding

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