IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v192y2025ics0960077925000049.html
   My bibliography  Save this article

A novel fractional-order integral dynamical backstepping controller design for integer-order nonlinear systems: An application to mock cardiovascular circulatory system

Author

Listed:
  • Hedayati, Shahrzad
  • Nozari, Hasan Abbasi
  • Rostami, Seyed Jalil Sadati

Abstract

This paper proposes a novel conformable fractional-order integral dynamical backstepping (CFOIDBST) design procedure by incorporating conformable fractional calculus into the classical dynamical backstepping (DBST) approach. The primary objective is to develop a robust control strategy that improves control performance and handles inter- and intra-patient parameter uncertainties in an integer-order cardiovascular circulatory system. The CFOIDBST approach is applied to a system where a piston pump acts as a mock ventricle coupled with high-bandwidth pressure dynamics and nonlinearities due to the check valves. A simulated clinical trial based on the Monte-Carlo (MC) method is proposed to investigate patient-to-patient variability and confirms that the CFOIDBST controller outperforms other control design approaches, attributed to an extra fractional-order tuning parameter. Additionally, the stability of the closed-loop system, represented by integro-differential dynamics, is investigated based on the Lyapunov theorem.

Suggested Citation

  • Hedayati, Shahrzad & Nozari, Hasan Abbasi & Rostami, Seyed Jalil Sadati, 2025. "A novel fractional-order integral dynamical backstepping controller design for integer-order nonlinear systems: An application to mock cardiovascular circulatory system," Chaos, Solitons & Fractals, Elsevier, vol. 192(C).
  • Handle: RePEc:eee:chsofr:v:192:y:2025:i:c:s0960077925000049
    DOI: 10.1016/j.chaos.2025.115991
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077925000049
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2025.115991?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.

    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:eee:chsofr:v:192:y:2025:i:c:s0960077925000049. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.