A spline wavelet collection method for the optimal control of flexible spacecraft

Zhang, Qingbin and Feng, Zhiwei and Tang, Qiangang and Macdonald, Malcolm (2015) A spline wavelet collection method for the optimal control of flexible spacecraft. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 299 (1). pp. 163-171. ISSN 0954-4100

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    Abstract

    A spline wavelet collocation method is presented to solve optimal control problem (OCP) of flexible spacecraft, which is often required to reorient and reposition with minimum manoeuvre time or fuel consumption. It is very difficult and computationally expensive to determine the open-loop optimal control inputs for flexible spacecraft, because the optimal control profile is often characterised by discontinuities or switching in the control variables. In our approach, the state and control variables are expanded via cubic spline wavelet decomposition, and then an OCP would be converted into a nonlinear programming problem where the wavelet coefficients are treated as the optimisation variables. As opposed to the usual pseudospectral method based on polynomial approximation, the wavelet advantageous properties of compact representation would inherently make it efficiently and accurately to solve nonlinear programming problem using standard solver. The novel approach is demonstrated by two typical optimal problems. The results show that our approach outperforms Gauss pseudospectral method for discontinuous OCPs arising from the flexible spacecraft.

    Creators(s): Zhang, Qingbin, Feng, Zhiwei, Tang, Qiangang and Macdonald, Malcolm ORCID logoORCID: https://orcid.org/0000-0003-4499-4281;
    Item type:Article
    ID code:47284
    Keywords:spline wavelet, flexible spacecraft, optimal control problem, direct method, wavelet collocation method, Mechanical engineering and machinery, Motor vehicles. Aeronautics. Astronautics, Mechanical Engineering, Aerospace Engineering, Computational Mechanics, Control and Systems Engineering
    Subjects:Technology > Mechanical engineering and machinery
    Technology > Motor vehicles. Aeronautics. Astronautics
    Department:Faculty of Engineering > Mechanical and Aerospace Engineering
    Technology and Innovation Centre > Advanced Engineering and Manufacturing
    Depositing user: Pure Administrator
    Date deposited:02 Apr 2014 08:34
    Last modified:01 Jan 2021 05:12
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/47284
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