Practical discontinuous tracking control for a permanent magnet synchronous motor

Bin Liu; Dengxiu Yu; Xing Zeng; Dianbiao Dong; Xinyi He; Xiaodi Li; Bin Liu; Dengxiu Yu; Xing Zeng; Dianbiao Dong; Xinyi He; Xiaodi Li

doi:10.3934/mbe.2023178

Mathematical Biosciences and Engineering

2023, Volume 20, Issue 2: 3793-3810. doi: 10.3934/mbe.2023178

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Practical discontinuous tracking control for a permanent magnet synchronous motor

1.
School of Mechanical Engineering, Northwestern Polytechnical University, Xi'an 710072, China
2.
Unmanned System Research Institute, Northwestern Polytechnical University, Xi'an 710072, China
3.
School of Mathematics and Statistics, Shandong Normal University, Ji'nan 250014, China
4.
Department of Automation, Tsinghua University, Beijing 100084, China

Academic Editor: Yang Kuang

Received: 12 October 2022 Revised: 28 November 2022 Accepted: 02 December 2022 Published: 12 December 2022

In this paper, the practical discontinuous control algorithm is used in the tracking controller design for a permanent magnet synchronous motor (PMSM). Although the theory of discontinuous control has been studied intensely, it is seldom applied to the actual systems, which encourages us to spread the discontinuous control algorithm to motor control. Due to the constraints of physical conditions, the input of the system is limited. Hence, we design the practical discontinuous control algorithm for PMSM with input saturation. To achieve the tracking control of PMSM, we define the error variables of the tracking control, and the sliding mode control method is introduced to complete the design of the discontinuous controller. Based on the Lyapunov stability theory, the error variables are guaranteed to converge to zero asymptotically, and the tracking control of the system is realized. Finally, the validity of the proposed control method is verified by a simulation example and the experimental platform.
- discontinuous control,
- motor,
- sliding mode control,
- input saturation,
- tracking control
Citation: Bin Liu, Dengxiu Yu, Xing Zeng, Dianbiao Dong, Xinyi He, Xiaodi Li. Practical discontinuous tracking control for a permanent magnet synchronous motor[J]. Mathematical Biosciences and Engineering, 2023, 20(2): 3793-3810. doi: 10.3934/mbe.2023178

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Abstract

In this paper, the practical discontinuous control algorithm is used in the tracking controller design for a permanent magnet synchronous motor (PMSM). Although the theory of discontinuous control has been studied intensely, it is seldom applied to the actual systems, which encourages us to spread the discontinuous control algorithm to motor control. Due to the constraints of physical conditions, the input of the system is limited. Hence, we design the practical discontinuous control algorithm for PMSM with input saturation. To achieve the tracking control of PMSM, we define the error variables of the tracking control, and the sliding mode control method is introduced to complete the design of the discontinuous controller. Based on the Lyapunov stability theory, the error variables are guaranteed to converge to zero asymptotically, and the tracking control of the system is realized. Finally, the validity of the proposed control method is verified by a simulation example and the experimental platform.

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