Loughborough University
Browse

Prescribed-time nonsingular terminal sliding mode control and its application in PMSM servo systems

Download (3.26 MB)
journal contribution
posted on 2024-10-25, 15:53 authored by Shang Shi, Liaoxuan Dai, Huifang Min, Jun YangJun Yang, Shihua Li

This study investigates the design of prescribed-time nonsingular terminal sliding mode (TSM) control and its utilization in position tracking control of permanent magnet synchronous motors (PMSM) servo systems. First, we propose a novel continuously differentiable and bounded time-varying scaling function, which avoids the issues of infinite gain and singularity in differentiation. Building upon this newly proposed time-varying function, a new prescribed-time Lyapunov theorem is presented, providing a theoretical foundation for controller design and stability analysis. Subsequently, we introduce a unique time-varying nonsingular TSM manifold and controller equipped with bounded time-varying gains. A comprehensive Lyapunov analysis confirms that the time required to reach the sliding mode manifold and equilibrium point can be predetermined, independent of initial system conditions or other related control parameters. Finally, the superiority of our theoretical findings is validated through experimental comparisons with existing studies, demonstrating the advantages of prescribed-time convergence and enhanced accuracy in position tracking control of PMSM servo systems. 

Funding

National Natural Science Foundation of China under (62025302, 62373135, 62203221, 62003131)

China Postdoctoral Science Foundation (2022M710682)

History

School

  • Aeronautical, Automotive, Chemical and Materials Engineering

Department

  • Aeronautical and Automotive Engineering

Published in

IEEE Transactions on Industrial Electronics

Publisher

Institute of Electrical and Electronics Engineers (IEEE)

Version

  • AM (Accepted Manuscript)

Rights holder

© IEEE

Publisher statement

© 2024 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.

Acceptance date

2024-08-06

Publication date

2024-09-04

Copyright date

2024

ISSN

0278-0046

eISSN

1557-9948

Language

  • en

Depositor

Dr Jun Yang. Deposit date: 23 October 2024

Usage metrics

    Loughborough Publications

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC