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.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Gain-Varying Guidance Algorithm using Differential Geometric Guidance Command


    Contributors:
    Chaoyong Li, (author) / Wuxing Jing, (author) / Hui Wang, (author) / Zhiguo Qi, (author)


    Publication date :

    2010-04-01


    Size :

    1216335 byte




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English




    Geometric analysis of missile guidance command

    Kuo, C.-Y. / Chiou, Y.-C. | IET Digital Library Archive | 2000


    Varying-Gain Proportional Navigation Guidance for Time Control

    Dong, Wei / Wang, Chunyan / Wang, Jianan et al. | Springer Verlag | 2025