IDEAS home Printed from https://ideas.repec.org/a/wsi/apjorx/v36y2019i03ns0217595919500155.html
   My bibliography  Save this article

Nonsmooth Optimization Method for H∞ Output Feedback Control

Author

Listed:
  • Qiong Wu

    (School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, P. R. China)

  • Jin-He Wang

    (School of Engineering, Huzhou University, Huzhou 313000, P. R. China)

  • Hong-Wei Zhang

    (School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, P. R. China)

  • Shuang Wang

    (School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, P. R. China)

  • Li-Ping Pang

    (School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, P. R. China)

Abstract

This paper proposes a nonsmooth optimization method for H∞ output feedback control problem of linear time-invariant(LTI) systems based on bundle technique. We formulate this problem as a nonconvex and nonsmooth semi-infinite constrained optimization problem by quantifying both internal stability of closed-loop system and measurement of system performance, where H∞ norm of closed-loop transfer function and a stabilization channel is used. Our method uses progress function and bundle technique to solve the resulting problem which has a composite structure. We prove the convergence to a critical point from a feasible initial point and test some benchmarks to demonstrate the effectiveness of this method.

Suggested Citation

  • Qiong Wu & Jin-He Wang & Hong-Wei Zhang & Shuang Wang & Li-Ping Pang, 2019. "Nonsmooth Optimization Method for H∞ Output Feedback Control," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 36(03), pages 1-23, June.
    • Handle: RePEc:wsi:apjorx:v:36:y:2019:i:03:n:s0217595919500155
    DOI: 10.1142/S0217595919500155
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0217595919500155
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0217595919500155?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.

    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:wsi:apjorx:v:36:y:2019:i:03:n:s0217595919500155. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/apjor/apjor.shtml .

    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.