IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v162y2014i3d10.1007_s10957-013-0504-4.html
   My bibliography  Save this article

Optimal Guidance of the Isotropic Rocket in the Presence of Wind

Author

Listed:
  • Efstathios Bakolas

    (The University of Texas at Austin)

Abstract

We address the minimum-time guidance problem for the so-called isotropic rocket in the presence of wind under an explicit constraint on the acceleration norm. We consider the guidance problem to a prescribed terminal position and a circular target set with a free terminal velocity in both cases. We employ standard techniques from optimal control theory to characterize the structure of the optimal guidance law as well as the corresponding minimum time-to-go function. It turns out that the complete characterization of the solution to the optimal control problem reduces to the solution of a system of nonlinear equations in triangular form. Numerical simulations, that illustrate the theoretical developments, are presented.

Suggested Citation

  • Efstathios Bakolas, 2014. "Optimal Guidance of the Isotropic Rocket in the Presence of Wind," Journal of Optimization Theory and Applications, Springer, vol. 162(3), pages 954-974, September.
    • Handle: RePEc:spr:joptap:v:162:y:2014:i:3:d:10.1007_s10957-013-0504-4
    DOI: 10.1007/s10957-013-0504-4
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10957-013-0504-4
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10957-013-0504-4?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Wei Sun & Panagiotis Tsiotras & Anthony J. Yezzi, 2019. "Multiplayer Pursuit-Evasion Games in Three-Dimensional Flow Fields," Dynamic Games and Applications, Springer, vol. 9(4), pages 1188-1207, December.
    2. Jhanani Selvakumar & Efstathios Bakolas, 2018. "Robust Time-Optimal Guidance in a Partially Uncertain Time-Varying Flow-Field," Journal of Optimization Theory and Applications, Springer, vol. 179(1), pages 240-264, October.

    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:spr:joptap:v:162:y:2014:i:3:d:10.1007_s10957-013-0504-4. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.