IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v126y2005i3d10.1007_s10957-005-5497-1.html
   My bibliography  Save this article

LMI-Based Robust H∞ Control of Uncertain Neutral Systems with State and Input Delays

Author

Listed:
  • J. D. Chen

    (National Kinmen Institute of Technology)

Abstract

Robust stabilization and robust H∞ control problems for a class of uncertain neutral system with state and input delays are considered. By choosing a Lyapunov-Krasovskii functional, an alternative delay-dependent sufficient condition for the existence of a controller is derived in terms of linear matrix inequalities. Furthermore, a convex optimization problem can be formulated to obtain an H∞ controller which minimizes an upper H∞ norm bound of the closed-loop state-input delayed system.

Suggested Citation

  • J. D. Chen, 2005. "LMI-Based Robust H∞ Control of Uncertain Neutral Systems with State and Input Delays," Journal of Optimization Theory and Applications, Springer, vol. 126(3), pages 553-570, September.
    • Handle: RePEc:spr:joptap:v:126:y:2005:i:3:d:10.1007_s10957-005-5497-1
    DOI: 10.1007/s10957-005-5497-1
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10957-005-5497-1
    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/s10957-005-5497-1?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. J. D. Chen, 2007. "Robust H ∞ Output Dynamic Observer-Based Control Design of Uncertain Neutral Systems," Journal of Optimization Theory and Applications, Springer, vol. 132(1), pages 193-211, January.
    2. Yusheng Zhou & Zaihua Wang, 2016. "Motion Controller Design of Wheeled Inverted Pendulum with an Input Delay Via Optimal Control Theory," Journal of Optimization Theory and Applications, Springer, vol. 168(2), pages 625-645, February.
    3. J. D. Chen, 2009. "Delay-Dependent Nonfragile H ∞ Observer-Based Control for Neutral Systems with Time Delays in the State and Control Input," Journal of Optimization Theory and Applications, Springer, vol. 141(2), pages 445-460, May.
    4. J. D. Chen, 2006. "LMI Approach to Robust Delay-Dependent Mixed H 2/H ∞ Controller of Uncertain Neutral Systems with Discrete and Distributed Time-Varying Delays," Journal of Optimization Theory and Applications, Springer, vol. 131(3), pages 383-403, December.
    5. Chen, Jenq-Der, 2007. "Delay-dependent robust H∞ control of uncertain neutral systems with state and input delays: LMI optimization approach," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 595-606.
    6. Karimi, Hamid Reza & Zapateiro, Mauricio & Luo, Ningsu, 2009. "Stability analysis and control synthesis of neutral systems with time-varying delays and nonlinear uncertainties," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 595-603.

    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:126:y:2005:i:3:d:10.1007_s10957-005-5497-1. 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.