IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/302565.html
   My bibliography  Save this article

A Modified D-K Iteration Approach for the Decentralized Control of Civil Structures with Parametric Uncertainties

Author

Listed:
  • Chunxu Qu
  • Linsheng Huo
  • Hongnan Li

Abstract

This paper presents a robust decentralized controller design method to suppress the vibration of civil structures with the consideration of parametric uncertainties. The decentralized controller design is motivated by the double homotopy approach, which approximates the bilinear matrix inequality (BMI) derived from bounded real lemma to linear matrix inequality (LMI), and gradually deforms a centralized controller to a decentralized controller. The centralized controller can be designed for the civil structures with the parametric uncertainties through D-K iteration method in μ synthesis, which can consider the diagonal block pattern of the uncertain matrix. This paper combines the double homotopy approach and D-K iteration method to design the robust decentralized controller for the civil structures with parametric uncertainties. The proposed method is validated numerically with a four-story building example.

Suggested Citation

  • Chunxu Qu & Linsheng Huo & Hongnan Li, 2014. "A Modified D-K Iteration Approach for the Decentralized Control of Civil Structures with Parametric Uncertainties," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-13, March.
    • Handle: RePEc:hin:jnlmpe:302565
    DOI: 10.1155/2014/302565
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2014/302565.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2014/302565.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/302565?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
    ---><---

    More about this item

    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:hin:jnlmpe:302565. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.