IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v165y2015i2d10.1007_s10957-014-0615-6.html
   My bibliography  Save this article

Adaptive Control for Systems with Output Constraints Using an Online Optimization Method

Author

Listed:
  • Jiaxing Che

    (University of Connecticut)

  • Michael Santone

    (University of Connecticut)

  • Chengyu Cao

    (University of Connecticut)

Abstract

In this paper, a new controller framework incorporating an L1 adaptive control and an online optimization scheme is presented. This framework provides a method for maintaining output constraints in the presence of non-linear time-varying matched uncertainties by predicting future output trajectories within a finite time horizon. The stability conditions of the system are derived, and the prediction error is characterized. The online optimization is formulated into a linear program problem for which many efficient algorithms exist. Simulation results demonstrate the effectiveness of the controller framework.

Suggested Citation

  • Jiaxing Che & Michael Santone & Chengyu Cao, 2015. "Adaptive Control for Systems with Output Constraints Using an Online Optimization Method," Journal of Optimization Theory and Applications, Springer, vol. 165(2), pages 480-506, May.
    • Handle: RePEc:spr:joptap:v:165:y:2015:i:2:d:10.1007_s10957-014-0615-6
    DOI: 10.1007/s10957-014-0615-6
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10957-014-0615-6
    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/s10957-014-0615-6?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. Yusheng Zhou & Zaihua Wang & Kwok-wai Chung, 2019. "Turning Motion Control Design of a Two-Wheeled Inverted Pendulum Using Curvature Tracking and Optimal Control Theory," Journal of Optimization Theory and Applications, Springer, vol. 181(2), pages 634-652, May.
    2. Yuqing Zheng & Guoshan Zhang, 2020. "Suboptimal Control for Nonlinear Systems with Disturbance via Integral Sliding Mode Control and Policy Iteration," Journal of Optimization Theory and Applications, Springer, vol. 185(2), pages 652-677, May.

    More about this item

    Keywords

    Adaptive control; Output constraints; Online optimization; Non-linear time-varying matched uncertainties; L1 adaptive controller;
    All these keywords.

    JEL classification:

    • L1 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance

    Statistics

    Access and download statistics

    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:165:y:2015:i:2:d:10.1007_s10957-014-0615-6. 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.