IDEAS home Printed from https://ideas.repec.org/a/igg/jsda00/v7y2018i3p72-93.html
   My bibliography  Save this article

Fractional-Order Optimal Control of Fractional-Order Linear Vibration Systems with Time Delay

Author

Listed:
  • Saeed Balochian

    (Gonabad Branch, Islamic Azad University, Gonabad, Khorasan Razavi, Iran)

  • Nahid Rajaee

    (Gonabad Branch, Islamic Azad University, Gonabad, Khorasan Razavi, Iran)

Abstract

Vibration control of fractional-order linear systems in the presence of time delays has been dealt in this article. Considering a delayed n-degree-of freedom linear structure that is modeled by fractional order equations, a fractional-order optimal control is provided to minimize both control input and output of delayed system via quadratic objective function. To do this, first the fractional order model of system that is subject to time delay is rewritten into a non-delay form through a particular transformation. Then, a fractional order optimal controller is provided using the classical optimal control theory to find an optimal input control. A delayed viscose system is then presented as a practical worked-out example. Numerical simulation results are given to confirm the efficiency of the proposed control method.

Suggested Citation

  • Saeed Balochian & Nahid Rajaee, 2018. "Fractional-Order Optimal Control of Fractional-Order Linear Vibration Systems with Time Delay," International Journal of System Dynamics Applications (IJSDA), IGI Global, vol. 7(3), pages 72-93, July.
    • Handle: RePEc:igg:jsda00:v:7:y:2018:i:3:p:72-93
    as

    Download full text from publisher

    File URL: http://services.igi-global.com/resolvedoi/resolve.aspx?doi=10.4018/IJSDA.2018070104
    Download Restriction: no
    ---><---

    Citations

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


    Cited by:

    1. Ahmed Sowayan, 2021. "Chaotic Assessment of the Heave and Pitch Dynamics Motions of Air Cushion Vehicles," International Journal of System Dynamics Applications (IJSDA), IGI Global, vol. 10(4), pages 1-27, October.
    2. Chongyang Liu & Zhaohua Gong & Changjun Yu & Song Wang & Kok Lay Teo, 2021. "Optimal Control Computation for Nonlinear Fractional Time-Delay Systems with State Inequality Constraints," Journal of Optimization Theory and Applications, Springer, vol. 191(1), pages 83-117, October.

    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:igg:jsda00:v:7:y:2018:i:3:p:72-93. 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: Journal Editor (email available below). General contact details of provider: https://www.igi-global.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.