Quasi-Closed-Form Solution To The Time-Optimal Rigid Spacecraft Reorientation Problem

    Authors

    R. M. Byers;S. R. Vadali

    Comments

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    Abbreviated Journal Title

    J. Guid. Control Dyn.

    Keywords

    Maneuvers; Engineering, Aerospace; Instruments & Instrumentation

    Abstract

    The problem of slewing a rigid body from an arbitrary initial orientation to a desired target orientation in minimum time is addressed. The nature of the time-optimal solution is observed via an open-loop solution using the switch time-optimization algorithm developed by Meier and Bryson. Conclusions as to the number and timing of control switches are drawn and substantiated analytically. The solution of the kinematic differential equations for Euler parameters is examined for systems in which the applied torque is much greater than the nonlinear terms in Euler's equations. An approximate solution to these equations is used to construct the state transition matrix as a function of a given control sequence and control intervals. This allows a rapid solution for the required switch times for all admissible control sequences. Uncoupled switching functions can be generated given the approximate switch times for the optimal sequence. The resulting feedforward/feedback control is suitable for online computation.

    Journal Title

    Journal of Guidance Control and Dynamics

    Volume

    16

    Issue/Number

    3

    Publication Date

    1-1-1993

    Document Type

    Article

    Language

    English

    First Page

    453

    Last Page

    461

    WOS Identifier

    WOS:A1993LC61100006

    ISSN

    0731-5090

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