Prescribed-time nonsingular terminal sliding mode control and its application in PMSM servo systems
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 ElectronicsPublisher
Institute of Electrical and Electronics Engineers (IEEE)Version
- AM (Accepted Manuscript)
Rights holder
© IEEEPublisher 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
2024-08-06Publication date
2024-09-04Copyright date
2024ISSN
0278-0046eISSN
1557-9948Publisher version
Language
- en