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Volume 14
Issue 12
10.3390/act14120580
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This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

Higher-Order PID-Nested Nonsingular Terminal Sliding Mode Control for Induction Motor Speed Servo Systems

by
Nguyen Minh Trieu
1,2,
Nguyen Tan No
3,
Truong Nguyen Vu
3 and
Nguyen Truong Thinh
1,*
1
Institute of Intelligent and Interactive Technologies, University of Economics Ho Chi Minh City—UEH, Ho Chi Minh City 700000, Vietnam
2
Vietnam Academy of Science and Technology, Graduate University of Science and Technology, Hanoi 100000, Vietnam
3
National Institute of Applied Mechanics and Informatics, Vietnam Academy of Science and Technology, Ho Chi Minh City 722000, Vietnam
*
Author to whom correspondence should be addressed.
Actuators 2025, 14(12), 580; https://doi.org/10.3390/act14120580 (registering DOI)
Submission received: 5 October 2025 / Revised: 27 November 2025 / Accepted: 27 November 2025 / Published: 30 November 2025
(This article belongs to the Section Control Systems)
Versions Notes

Abstract

This paper presents an approach to the velocity control loop of induction motor drives utilizing the Higher-Order PID-Nested Nonsingular Terminal Sliding Mode (PID-NTSM) method. Here, the PID-NTSM sliding manifold is formulated by the incorporation of both derivative and integral errors of states into the conventional nonsingular terminal sliding mode surface (NTSM). In this manner, the control signals take the higher-order sliding mode control law, obtained by multiple integrals. In this way, such signals are continuous, and the sliding manifold is obtained in finite time; the system’s states asymptotically converge chattering-free to zero at a much faster response time and higher tracking precision while maintaining inherited robustness characteristics. The effectiveness of the proposed method is comprehensively validated both numerically and experimentally.
Keywords: chattering-free; fundamental sliding control; high-order SMC; induction motor; PID-NTSM; PID-NTSM manifold; sliding control theory chattering-free; fundamental sliding control; high-order SMC; induction motor; PID-NTSM; PID-NTSM manifold; sliding control theory

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MDPI and ACS Style

Minh Trieu, N.; Tan No, N.; Nguyen Vu, T.; Truong Thinh, N. Higher-Order PID-Nested Nonsingular Terminal Sliding Mode Control for Induction Motor Speed Servo Systems. Actuators 2025, 14, 580. https://doi.org/10.3390/act14120580

AMA Style

Minh Trieu N, Tan No N, Nguyen Vu T, Truong Thinh N. Higher-Order PID-Nested Nonsingular Terminal Sliding Mode Control for Induction Motor Speed Servo Systems. Actuators. 2025; 14(12):580. https://doi.org/10.3390/act14120580

Chicago/Turabian Style

Minh Trieu, Nguyen, Nguyen Tan No, Truong Nguyen Vu, and Nguyen Truong Thinh. 2025. "Higher-Order PID-Nested Nonsingular Terminal Sliding Mode Control for Induction Motor Speed Servo Systems" Actuators 14, no. 12: 580. https://doi.org/10.3390/act14120580

APA Style

Minh Trieu, N., Tan No, N., Nguyen Vu, T., & Truong Thinh, N. (2025). Higher-Order PID-Nested Nonsingular Terminal Sliding Mode Control for Induction Motor Speed Servo Systems. Actuators, 14(12), 580. https://doi.org/10.3390/act14120580

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