IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i4p1067-d1075001.html
   My bibliography  Save this article

A Differential Flatness-Based Model Predictive Control Strategy for a Nonlinear Quarter-Car Active Suspension System

Author

Listed:
  • Daniel Rodriguez-Guevara

    (Tecnologico de Monterrey, School of Engineering and Sciences, Ave. Eugenio Garza Sada 2501, Monterrey 64849, Mexico)

  • Antonio Favela-Contreras

    (Tecnologico de Monterrey, School of Engineering and Sciences, Ave. Eugenio Garza Sada 2501, Monterrey 64849, Mexico)

  • Francisco Beltran-Carbajal

    (Departamento de Energía, Universidad Autónoma Metropolitana, Unidad Azcapotzalco, Av. San Pablo No. 180, Col. Reynosa Tamaulipas, Mexico City 02200, Mexico)

  • Carlos Sotelo

    (Tecnologico de Monterrey, School of Engineering and Sciences, Ave. Eugenio Garza Sada 2501, Monterrey 64849, Mexico)

  • David Sotelo

    (Tecnologico de Monterrey, School of Engineering and Sciences, Ave. Eugenio Garza Sada 2501, Monterrey 64849, Mexico)

Abstract

Controlling an automotive suspension system using an actuator is a complex nonlinear problem that requires both fast and precise solutions in order to achieve optimal performance. In this work, the nonlinear model of a quarter-car active suspension is expressed in terms of a flat output and its derivatives in order to embed the nonlinearities of the system in the flat output. Afterward, a Model Predictive Controller based on the differential flatness derivation (MPC-DF) of the quarter-car is proposed in order to achieve optimal control performance in both passenger comfort and road holding without diminishing the lifespan of the wheel. This formulation results in a linear optimization problem while maintaining the nonlinear behavior of the active suspension system. Afterward, the optimization problem is solved by means of Quadratic Programming (QP), enabling real-time implementation. Simulation results are presented using a realistic road disturbance to show the effectiveness of the proposed control strategy.

Suggested Citation

  • Daniel Rodriguez-Guevara & Antonio Favela-Contreras & Francisco Beltran-Carbajal & Carlos Sotelo & David Sotelo, 2023. "A Differential Flatness-Based Model Predictive Control Strategy for a Nonlinear Quarter-Car Active Suspension System," Mathematics, MDPI, vol. 11(4), pages 1-14, February.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:4:p:1067-:d:1075001
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/4/1067/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/4/1067/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Jialing Yao & Meng Wang & Zhihong Li & Yunyi Jia, 2021. "Research on Model Predictive Control for Automobile Active Tilt Based on Active Suspension," Energies, MDPI, vol. 14(3), pages 1-18, January.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Gang Wang & Jiafan Deng & Tingting Zhou & Suqi Liu, 2024. "H ∞ Differential Game of Nonlinear Half-Car Active Suspension via Off-Policy Reinforcement Learning," Mathematics, MDPI, vol. 12(17), pages 1-18, August.

    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.
    1. Marek Wozniak & Krzysztof Siczek & Gustavo Ozuna & Przemyslaw Kubiak, 2021. "A Study on Wear and Friction of Passenger Vehicles Control Arm Ball Joints," Energies, MDPI, vol. 14(11), pages 1-29, June.
    2. Daniel Rodriguez-Guevara & Antonio Favela-Contreras & Francisco Beltran-Carbajal & David Sotelo & Carlos Sotelo, 2021. "Active Suspension Control Using an MPC-LQR-LPV Controller with Attraction Sets and Quadratic Stability Conditions," Mathematics, MDPI, vol. 9(20), pages 1-17, October.
    3. Jianxu Zhu & Dingxuan Zhao & Shuang Liu & Zilong Zhang & Guangyu Liu & Jinming Chang, 2022. "Integrated Control of Spray System and Active Suspension Systems Based on Model-Assisted Active Disturbance Rejection Control Algorithm," Mathematics, MDPI, vol. 10(18), pages 1-17, September.
    4. Habib Benbouhenni & Nicu Bizon, 2021. "Improved Rotor Flux and Torque Control Based on the Third-Order Sliding Mode Scheme Applied to the Asynchronous Generator for the Single-Rotor Wind Turbine," Mathematics, MDPI, vol. 9(18), pages 1-16, September.

    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:4:p:1067-:d:1075001. 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.