IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v463y2024ics0096300323005325.html
   My bibliography  Save this article

Shifting asymmetric time-varying BLF-based model-free hybrid force/position control for 3-DOF SEA-based manipulator with random initial error

Author

Listed:
  • Wei, Yangchun
  • Wang, Haoping
  • Tian, Yang

Abstract

In this work, a shifting asymmetric time-varying barrier Lyapunov function (BLF)-based model-free hybrid force/position controller (SABMHC) is proposed for the endpoint of the 3-DOF series elastic actuator (SEA)-based manipulator which can be used for machining of large curved surfaces. The proposed SABMHC contains a force sub-control loop and a position sub-control loop. The force sub-control loop converts the force control into position control based on the idea of impedance control, and realizes the hybrid force/position control through the position sub-control. Then, in order to achieve accurate trajectory tracking control of the position sub-control loop, a shifting asymmetric time-varying BLF-based model-free controller is proposed, which includes the error shifting function, asymmetric time varying BLF, time-delay estimation (TDE) technique, and adaptive compensation term. To prevent the random initial error from being so large that it exceeds the pre-set boundary and affects the steady-state response, an error shifting function is introduced. The error shifting function can make the shifting error independent of the tracking error before reaching the pre-set shifting time, so as to achieve better control performance by setting a small pre-set boundary for the shifting error. With the Lyapunov function, the designed SABMHC can ensure that the stability and the shifting error converges within the pre-set boundary in a finite time. Finally, the effectiveness and benefits of the proposed SABMHC are analyzed by comparison with the TDE-based intelligent PID (TDE-iPD) and BLF-based sliding-mode controller (BLF-SMC).

Suggested Citation

  • Wei, Yangchun & Wang, Haoping & Tian, Yang, 2024. "Shifting asymmetric time-varying BLF-based model-free hybrid force/position control for 3-DOF SEA-based manipulator with random initial error," Applied Mathematics and Computation, Elsevier, vol. 463(C).
    • Handle: RePEc:eee:apmaco:v:463:y:2024:i:c:s0096300323005325
    DOI: 10.1016/j.amc.2023.128363
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300323005325
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2023.128363?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.

    References listed on IDEAS

    as
    1. Shi, Shang & Min, Huifang & Hu, Yinlong & Sun, Yonghui & Wang, Bing, 2020. "A novel hybrid scheme for fixed-time SOSM control of nonlinear uncertain systems subject to mismatched terms," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    2. Yong Nie & Jiajia Liu & Gang Liu & Litong Lyu & Jie Li & Zheng Chen, 2022. "Force Tracking Impedance Control of Hydraulic Series Elastic Actuators Interacting with Unknown Environment," Mathematics, MDPI, vol. 10(18), pages 1-15, September.
    3. Ding, Chen & Ma, Li & Ding, Shihong, 2021. "Second-order sliding mode controller design with mismatched term and time-varying output constraint," Applied Mathematics and Computation, Elsevier, vol. 407(C).
    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. Mei, Keqi & Ding, Shihong, 2022. "Output-feedback finite-time stabilization of a class of constrained planar systems," Applied Mathematics and Computation, Elsevier, vol. 412(C).
    2. Ding, Chen & Ma, Li & Ding, Shihong, 2021. "Second-order sliding mode controller design with mismatched term and time-varying output constraint," Applied Mathematics and Computation, Elsevier, vol. 407(C).
    3. Luo, Peng & Wu, Defeng & Yamashita, Andre S. & Feng, Na & Yang, Yang, 2024. "Observer-based fixed-time dynamic surface tracking control for autonomous surface vehicles under actuator constraints and denial-of-service attacks," Applied Mathematics and Computation, Elsevier, vol. 465(C).
    4. Alejandro Rincón & Fredy E. Hoyos & John E. Candelo-Becerra, 2022. "An Output Feedback Controller for a Second-Order System Subject to Asymmetric Output Constraint Based on Lyapunov Function with Unlimited Domain," Mathematics, MDPI, vol. 10(11), pages 1-20, May.

    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:apmaco:v:463:y:2024:i:c:s0096300323005325. 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.