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    Nonlinear optimal feedback control for lunar module soft landing

    172741_172741.pdf (162.4Kb)
    Access Status
    Open access
    Authors
    Zhou, Jingyang
    Teo, Kok Lay
    Zhou, D.
    Zhao, G.
    Date
    2012
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Zhou, Jingyang and Teo, Kok Lay and Zhou, Di and Zhao, Guohui. 2012. Nonlinear optimal feedback control for lunar module soft landing. Journal of Global Optimisation. 52 (2): pp. 211-227.
    Source Title
    Journal of Global Optimisation.
    DOI
    10.1007/s10898-011-9659-4
    ISSN
    09255001
    School
    Department of Mathematics and Statistics
    Remarks

    The final publication is available at: http://www.springerlink.com

    URI
    http://hdl.handle.net/20.500.11937/21189
    Collection
    • Curtin Research Publications
    Abstract

    In this paper, the task of achieving the soft landing of a lunar module such that the fuel consumption and the flight time are minimized is formulated as an optimal control problem. The motion of the lunar module is described in a three dimensional coordinate system. We obtain the form of the optimal closed loop control law, where a feedback gain matrix is involved. It is then shown that this feedback gain matrix satisfies a Riccati-like matrix differential equation. The optimal control problem is first solved as an open loop optimal control problem by using a time scaling transform and the control parameterization method. Then, by virtue of the relationship between the optimal open loop control and the optimal closed loop control along the optimal trajectory, we present a practical method to calculate an approximate optimal feedback gain matrix, without having to solve an optimal control problem involving the complex Riccati-like matrix differential equation coupled with the original system dynamics. Simulation results show that the proposed approach is highly effective.

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