IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i20p4258-d1258121.html
   My bibliography  Save this article

Convex Fault Diagnosis of a Three-Degree-of-Freedom Mechanical Crane

Author

Listed:
  • Julio Guzmán-Rabasa

    (TURIX Diagnosis and Control Group, Tecnológico Nacional de México, IT Hermosillo, Av. Tecnológico 115, Hermosillo 83170, Mexico)

  • Francisco Rodríguez

    (TURIX Diagnosis and Control Group, Tecnológico Nacional de Mexico, IT Tuxtla Gutiérrez, Carretera Panamericana km 1080, SN, Tuxtla Gutierrez 29050, Mexico)

  • Guillermo Valencia-Palomo

    (TURIX Diagnosis and Control Group, Tecnológico Nacional de México, IT Hermosillo, Av. Tecnológico 115, Hermosillo 83170, Mexico)

  • Ildeberto Santos-Ruiz

    (TURIX Diagnosis and Control Group, Tecnológico Nacional de Mexico, IT Tuxtla Gutiérrez, Carretera Panamericana km 1080, SN, Tuxtla Gutierrez 29050, Mexico)

  • Samuel Gómez-Peñate

    (TURIX Diagnosis and Control Group, Tecnológico Nacional de Mexico, IT Tuxtla Gutiérrez, Carretera Panamericana km 1080, SN, Tuxtla Gutierrez 29050, Mexico)

  • Francisco-Ronay López-Estrada

    (TURIX Diagnosis and Control Group, Tecnológico Nacional de Mexico, IT Tuxtla Gutiérrez, Carretera Panamericana km 1080, SN, Tuxtla Gutierrez 29050, Mexico)

Abstract

This paper presents a fault detection and estimation method based on a proportional-integral observer applied to a three-degree-of-freedom mechanical crane. Faults are common in this system and can provoke oscillations that generate a loss of performance and stability. A convex linear parameter varying approach is proposed to stabilize the crane and detect and isolate actuator faults to guarantee the crane’s performance. The linear matrix inequalities obtained from candidate Lyapunov functions give sufficient conditions to guarantee the fault estimation method. Finally, numerical simulations are proposed to illustrate the method’s performance and applicability.

Suggested Citation

  • Julio Guzmán-Rabasa & Francisco Rodríguez & Guillermo Valencia-Palomo & Ildeberto Santos-Ruiz & Samuel Gómez-Peñate & Francisco-Ronay López-Estrada, 2023. "Convex Fault Diagnosis of a Three-Degree-of-Freedom Mechanical Crane," Mathematics, MDPI, vol. 11(20), pages 1-15, October.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:20:p:4258-:d:1258121
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/20/4258/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/20/4258/
    Download Restriction: no
    ---><---

    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:gam:jmathe:v:11:y:2023:i:20:p:4258-:d:1258121. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.