IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i22p4696-d1283345.html
   My bibliography  Save this article

On the State-Feedback Controller Design for Polynomial Linear Parameter-Varying Systems with Pole Placement within Linear Matrix Inequality Regions

Author

Listed:
  • Jorge A. Brizuela-Mendoza

    (Exact Sciences and Methodologies Department, University of Guadalajara, Ciudad Guzmán 49000, Mexico
    These authors contributed equally to this work.)

  • Juan Carlos Mixteco-Sánchez

    (Natural and Exact Sciences Department, University of Guadalajara, Ameca 46600, Mexico)

  • Maria A. López-Osorio

    (Natural and Exact Sciences Department, University of Guadalajara, Ameca 46600, Mexico)

  • Gerardo Ortiz-Torres

    (Computer Science and Engineering Department, University of Guadalajara, Ameca 46600, Mexico
    These authors contributed equally to this work.)

  • Felipe D. J. Sorcia-Vázquez

    (Computer Science and Engineering Department, University of Guadalajara, Ameca 46600, Mexico
    These authors contributed equally to this work.)

  • Ricardo Eliú Lozoya-Ponce

    (División de Estudios de Posgrado e Investigación, Tecnológico Nacional de México Campus Chihuahua, Chihuahua 31310, Mexico
    These authors contributed equally to this work.)

  • Moises B. Ramos-Martínez

    (Computer Science and Engineering Department, University of Guadalajara, Ameca 46600, Mexico)

  • Alan F. Pérez-Vidal

    (Computer Science and Engineering Department, University of Guadalajara, Ameca 46600, Mexico)

  • Jesse Y. Rumbo Morales

    (Computer Science and Engineering Department, University of Guadalajara, Ameca 46600, Mexico
    These authors contributed equally to this work.)

  • Cesar H. Guzmán-Valdivia

    (Mechatronics Engineering Department, Polytechnic University of Aguascalientes, Aguascalientes 20342, Mexico)

  • Mayra G. Mena-Enriquez

    (Biomedical Sciences Department, University of Guadalajara, Tonalá 45425, Mexico)

  • Carlos Alberto Torres-Cantero

    (Tecnológico Nacional de México Campus Colima, Av. Tecnológico # 1, Col. Liberación, Villa de Álvarez 28976, Mexico
    Facultad de Ingeniería Mecánica y Eléctrica, Universidad de Colima, Carretera Colima, Coquimatlan Km 9, Valle de las Huertas, Coquimatlán 28400, Mexico)

Abstract

The present paper addresses linear parameter-varying systems with high-order time-varying parameter dependency known as polynomial LPV systems and their controller design. Throughout this work, a procedure ensuring a state-feedback controller from a parameterized linear matrix inequality (PLMI) solution is presented. As the main contribution of this paper, the controller is designed by considering the time-varying parameter rate as a tuning parameter with a continuous control gain in such a way that the closed-loop eigenvalues lie in a complex plane subset, with high-order time-varying parameters defining the system dynamics. Simulation results are presented, aiming to show the effectiveness of the proposed controller design.

Suggested Citation

  • Jorge A. Brizuela-Mendoza & Juan Carlos Mixteco-Sánchez & Maria A. López-Osorio & Gerardo Ortiz-Torres & Felipe D. J. Sorcia-Vázquez & Ricardo Eliú Lozoya-Ponce & Moises B. Ramos-Martínez & Alan F. Pé, 2023. "On the State-Feedback Controller Design for Polynomial Linear Parameter-Varying Systems with Pole Placement within Linear Matrix Inequality Regions," Mathematics, MDPI, vol. 11(22), pages 1-19, November.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:22:p:4696-:d:1283345
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/22/4696/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/22/4696/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. J. A. Brizuela Mendoza & F. D. J. Sorcia Vázquez & C. H. Guzmán Valdivia & R. Osorio Sánchez & M. Martínez García, 2018. "Observer design for sensor and actuator fault estimation applied to polynomial LPV systems: a riderless bicycle study case," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(14), pages 2996-3006, October.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.

      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:22:p:4696-:d:1283345. 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.

      If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.