IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v8y2020i6p1029-d375163.html
   My bibliography  Save this article

A Geometry-Based Guidance Law to Control Impact Time and Angle under Variable Speeds

Author

Listed:
  • Xinghui Yan

    (Department of Computer Science and Technology, Tsinghua University, Beijing 100084, China
    State Key Laboratory of Intelligent Technology and System, Beijing 100084, China)

  • Minchi Kuang

    (Department of Computer Science and Technology, Tsinghua University, Beijing 100084, China
    State Key Laboratory of Intelligent Technology and System, Beijing 100084, China)

  • Jihong Zhu

    (Department of Computer Science and Technology, Tsinghua University, Beijing 100084, China
    State Key Laboratory of Intelligent Technology and System, Beijing 100084, China)

Abstract

To provide a feasible solution for a variable speed unmanned aerial vehicle (UAV) to home on a target with impact time and angle constraints, this paper presents a novel geometry-based guidance law composed of trajectory reshaping and tracking. A trajectory generation process using Bezier curves is introduced to satisfy the impact time and angle constraints under time-varying speed. The impact angle is satisfied by driving the UAV along a specified ending line. The impact time is satisfied by controlling the trajectory length, which is realized through adjusting one Bezier curve end point along the ending line. The adjustable range of this end point, along with the maximum trajectory curvature, is analyzed to ensure that the trajectory is flyable. Guidance command is generated using inverse dynamics. Numerical simulations under various scenarios are demonstrated to illustrate the performance and validate the effectiveness of the proposed method.

Suggested Citation

  • Xinghui Yan & Minchi Kuang & Jihong Zhu, 2020. "A Geometry-Based Guidance Law to Control Impact Time and Angle under Variable Speeds," Mathematics, MDPI, vol. 8(6), pages 1-18, June.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:6:p:1029-:d:375163
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/8/6/1029/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/8/6/1029/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Zhongtao Cheng & Hao Wu & Bo Wang & Lei Liu & Yongji Wang, 2020. "Fixed-Time Convergent Guidance Law with Impact Angle Control," Complexity, Hindawi, vol. 2020, pages 1-9, May.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.

      Corrections

      All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:8:y:2020:i:6:p:1029-:d:375163. See general information about how to correct material in RePEc.

      If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

      If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

      If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

      For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

      Please note that corrections may take a couple of weeks to filter through the various RePEc services.

      IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.