IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/460348.html
   My bibliography  Save this article

Robust Passivity and Feedback Design for Nonlinear Stochastic Systems with Structural Uncertainty

Author

Listed:
  • Zhongwei Lin
  • Jizhen Liu
  • Yuguang Niu

Abstract

This paper discusses the robust passivity and global stabilization problems for a class of uncertain nonlinear stochastic systems with structural uncertainties. A robust version of stochastic Kalman-Yakubovitch-Popov (KYP) lemma is established, which sustains the robust passivity of the system. Moreover, a robust strongly minimum phase system is defined, based on which the uncertain nonlinear stochastic system can be feedback equivalent to a robust passive system. Following with the robust passivity theory, a global stabilizing control is designed, which guarantees that the closed-loop system is globally asymptotically stable in probability (GASP). A numerical example is presented to illustrate the effectiveness of our results.

Suggested Citation

  • Zhongwei Lin & Jizhen Liu & Yuguang Niu, 2013. "Robust Passivity and Feedback Design for Nonlinear Stochastic Systems with Structural Uncertainty," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-9, March.
    • Handle: RePEc:hin:jnlmpe:460348
    DOI: 10.1155/2013/460348
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2013/460348.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2013/460348.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/460348?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
    ---><---

    Citations

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


    Cited by:

    1. Manuel De la Sen, 2022. "Asymptotic Hyperstability and Input–Output Energy Positivity of a Single-Input Single-Output System Which Incorporates a Memoryless Non-Linear Device in the Feed-Forward Loop," Mathematics, MDPI, vol. 10(12), pages 1-20, June.

    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:460348. 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.