Gain-Varying Guidance Algorithm using Differential Geometric Guidance Command

    Authors

    C. Y. Li; W. X. Jing; H. Wang;Z. G. Qi

    Comments

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    Abbreviated Journal Title

    IEEE Trans. Aerosp. Electron. Syst.

    Keywords

    Missiles; Acceleration; Trajectory; Time domain analysis; Heuristic; algorithms; Algorithm design and analysis; Geometry; MISSILE GUIDANCE; PROPORTIONAL NAVIGATION; LAW; PURE; TARGETS; ANGLE; TIME; Engineering, Aerospace; Engineering, Electrical & Electronic; Telecommunications

    Abstract

    A new gain-varying algorithm for the three-dimensional pure proportional navigation (PPN) guidance problem is presented using the differential geometric (DG) guidance command. To this end, classical differential geometry theory is introduced, firstly, to transform and modify the DG guidance curvature command so as to facilitate the practical implementation and to avoid singularity of the guidance command. Then, a new gain-varying guidance scheme is developed using the modified DG guidance command, as well as the principle of the PPN guidance law, the new guidance law does not need the evaluation of time-to-go information. Furthermore, the capture analysis of the PPN-type guidance law is qualitatively studied in terms of the DG formulations, and a post-launch capture condition is derived and expressed in geometric terms. Simulation results demonstrate that the proposed guidance algorithm performs better than the conventional PPN guidance law in the case of intercepting maneuvering targets.

    Journal Title

    Ieee Transactions on Aerospace and Electronic Systems

    Volume

    46

    Issue/Number

    2

    Publication Date

    1-1-2010

    Document Type

    Article

    Language

    English

    First Page

    725

    Last Page

    736

    WOS Identifier

    WOS:000277499800017

    ISSN

    0018-9251

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