IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i10p2259-d1144966.html
   My bibliography  Save this article

Grey-Wolf-Optimization-Algorithm-Based Tuned P-PI Cascade Controller for Dual-Ball-Screw Feed Drive Systems

Author

Listed:
  • Qi Liu

    (School of Mechanical and Electronic Engineering, Wuhan University of Technology, Wuhan 430070, China
    Division of Human Mechanical Systems and Design, Hokkaido University, N13, W8, Kita-ku, Sapporo 060-8628, Hokkaido, Japan)

  • Hong Lu

    (School of Mechanical and Electronic Engineering, Wuhan University of Technology, Wuhan 430070, China)

  • Heisei Yonezawa

    (Division of Mechanical and Aerospace Engineering, Hokkaido University, N13, W8, Kita-ku, Sapporo 060-8628, Hokkaido, Japan)

  • Ansei Yonezawa

    (Division of Mechanical and Aerospace Engineering, Hokkaido University, N13, W8, Kita-ku, Sapporo 060-8628, Hokkaido, Japan)

  • Itsuro Kajiwara

    (Division of Mechanical and Aerospace Engineering, Hokkaido University, N13, W8, Kita-ku, Sapporo 060-8628, Hokkaido, Japan)

  • Ben Wang

    (School of Mechanical and Electronic Engineering, Wuhan University of Technology, Wuhan 430070, China)

Abstract

Dual-ball-screw feed drive systems (DBSFDSs) are designed for most high-end manufacturing equipment. However, the mismatch between the dynamic characteristic parameters (e.g., stiffness and inertia) and the P-PI cascade control method reduces the accuracy of the DBSFDSs owing to the structural characteristic changes in the motion. Moreover, the parameters of the P-PI cascade controller of the DBSFDSs are always the same even though the two axes have different dynamic characteristics, and it is difficult to tune two-axis parameters simultaneously. A new application of the combination of the grey wolf optimization (GWO) algorithm and the P-PI cascade controller is presented to solve these problems and enhance the motion performance of DBSFDSs. The novelty is that the flexible coupling model and dynamic stiffness obtained from the motor current can better represent the two-axis coupling dynamic characteristics, and the GWO algorithm is used to adjust the P-PI controller parameters to address variations in the positions of the moving parts and reflect characteristic differences between the two axes. Comparison of simulation and experimental results validated the superiority of the proposed controller over existing ones in practical applications, showing a decrease in the tracking error of the tool center and non-synchronization error of over 34% and 39%, respectively.

Suggested Citation

  • Qi Liu & Hong Lu & Heisei Yonezawa & Ansei Yonezawa & Itsuro Kajiwara & Ben Wang, 2023. "Grey-Wolf-Optimization-Algorithm-Based Tuned P-PI Cascade Controller for Dual-Ball-Screw Feed Drive Systems," Mathematics, MDPI, vol. 11(10), pages 1-29, May.
  • Handle: RePEc:gam:jmathe:v:11:y:2023:i:10:p:2259-:d:1144966
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/10/2259/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/11/10/2259/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Mikulas Huba & Damir Vrancic, 2022. "Tuning of PID Control for the Double Integrator Plus Dead Time Model by Modified Real Dominant Pole and Performance Portrait Methods," Mathematics, MDPI, vol. 10(6), pages 1-25, March.
    2. Xuelin Zhang & Xiaobin Xu & Xiaojian Xu & Pingzhi Hou & Haibo Gao & Feng Ma, 2023. "Intelligent Adaptive PID Control for the Shaft Speed of a Marine Electric Propulsion System Based on the Evidential Reasoning Rule," Mathematics, MDPI, vol. 11(5), pages 1-23, February.
    3. Bhargav Bhatt & Himanshu Sharma & Krishan Arora & Gyanendra Prasad Joshi & Bhanu Shrestha, 2023. "Levy Flight-Based Improved Grey Wolf Optimization: A Solution for Various Engineering Problems," Mathematics, MDPI, vol. 11(7), pages 1-31, April.
    4. Mohammad Soleimani Amiri & Rizauddin Ramli & Mohd Faisal Ibrahim & Dzuraidah Abd Wahab & Norazam Aliman, 2020. "Adaptive Particle Swarm Optimization of PID Gain Tuning for Lower-Limb Human Exoskeleton in Virtual Environment," Mathematics, MDPI, vol. 8(11), pages 1-16, November.
    5. Xiaogang Yang & Mengxing Huang & Yuanyuan Wu & Siling Feng, 2023. "Observer-Based PID Control Protocol of Positive Multi-Agent Systems," Mathematics, MDPI, vol. 11(2), pages 1-23, January.
    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.
    1. Yingying Liao & Weiguo Zhao & Liying Wang, 2021. "Improved Manta Ray Foraging Optimization for Parameters Identification of Magnetorheological Dampers," Mathematics, MDPI, vol. 9(18), pages 1-38, September.
    2. Muhammad Waseem & Jingyuan Huang & Chak-Nam Wong & C. K. M. Lee, 2023. "Data-Driven GWO-BRNN-Based SOH Estimation of Lithium-Ion Batteries in EVs for Their Prognostics and Health Management," Mathematics, MDPI, vol. 11(20), pages 1-27, October.
    3. Xuelin Zhang & Xiaobin Xu & Xiaojian Xu & Pingzhi Hou & Haibo Gao & Feng Ma, 2023. "Intelligent Adaptive PID Control for the Shaft Speed of a Marine Electric Propulsion System Based on the Evidential Reasoning Rule," Mathematics, MDPI, vol. 11(5), pages 1-23, February.
    4. Mohammad Soleimani Amiri & Rizauddin Ramli, 2022. "Utilisation of Initialised Observation Scheme for Multi-Joint Robotic Arm in Lyapunov-Based Adaptive Control Strategy," Mathematics, MDPI, vol. 10(17), pages 1-14, August.

    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:10:p:2259-:d:1144966. 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.