IDEAS home Printed from https://ideas.repec.org/a/taf/tsysxx/v47y2016i2p300-313.html
   My bibliography  Save this article

control of a class of 2-D continuous switched delayed systems via state-dependent switching

Author

Listed:
  • Imran Ghous
  • Zhengrong Xiang

Abstract

This paper addresses the problem of state feedback H∞ stabilisation of 2-D (two-dimensional) continuous switched state delayed systems represented by the Roesser model using the multiple Lyapunov functional approach. First, an asymptotical stability condition of 2-D continuous switched systems with state-dependent switching is derived. Second, a sufficient condition for H∞ performance of the underlying system is established. Third, a state feedback controller is proposed to ensure that the resulting closed-loop system has a prescribed H∞ performance level under a state-dependent switching signal. All the results are developed in terms of linear matrix inequalities. Finally, three examples are provided to demonstrate the validity and effectiveness of the proposed method.

Suggested Citation

  • Imran Ghous & Zhengrong Xiang, 2016. "control of a class of 2-D continuous switched delayed systems via state-dependent switching," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(2), pages 300-313, January.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:2:p:300-313
    DOI: 10.1080/00207721.2015.1068882
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/00207721.2015.1068882
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/00207721.2015.1068882?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.

    References listed on IDEAS

    as
    1. Abdellah Benzaouia & Abdelaziz Hmamed & Fernando Tadeo & Ahmed EL Hajjaji, 2011. "Stabilisation of discrete 2D time switching systems by state feedback control," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(3), pages 479-487.
    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.
    1. Fei Meng & Xuyu Shen & Xiaofeng Li, 2022. "Stability Analysis and Synthesis for 2-D Switched Systems with Random Disturbance," Mathematics, MDPI, vol. 10(5), pages 1-18, March.
    2. Guangchen Zhang & Weiqun Wang, 2017. "Finite-region stability and boundedness for discrete 2D Fornasini–Marchesini second models," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(4), pages 778-787, March.

    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:taf:tsysxx:v:47:y:2016:i:2:p:300-313. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/TSYS20 .

    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.