IDEAS home Printed from https://ideas.repec.org/a/hin/jnlaaa/645982.html
   My bibliography  Save this article

Neural Network Inverse Model Control Strategy: Discrete-Time Stability Analysis for Relative Order Two Systems

Author

Listed:
  • M. A. Hussain
  • Jarinah Mohd Ali
  • M. J. H. Khan

Abstract

This paper discusses the discrete-time stability analysis of a neural network inverse model control strategy for a relative order two nonlinear system. The analysis is done by representing the closed loop system in state space format and then analyzing the time derivative of the state trajectory using Lyapunov’s direct method. The analysis shows that the tracking output error of the states is confined to a ball in the neighborhood of the equilibrium point where the size of the ball is partly dependent on the accuracy of the neural network model acting as the controller. Simulation studies on the two-tank-in-series system were done to complement the stability analysis and to demonstrate some salient results of the study.

Suggested Citation

  • M. A. Hussain & Jarinah Mohd Ali & M. J. H. Khan, 2014. "Neural Network Inverse Model Control Strategy: Discrete-Time Stability Analysis for Relative Order Two Systems," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-11, May.
    • Handle: RePEc:hin:jnlaaa:645982
    DOI: 10.1155/2014/645982
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AAA/2014/645982.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AAA/2014/645982.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/645982?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:jnlaaa:645982. 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.