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Position tracking control for permanent magnet linear motor via fast nonsingular terminal sliding mode control

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Abstract

In this paper, for the position control problem of permanent magnet linear motors, a fast nonsingular terminal sliding mode control (FNTSMC) method based on the finite-time disturbance observer (FTDO) is proposed. By employing a fast nonsingular terminal sliding surface, the FNTSMC is designed. Besides, a FTDO is applied to estimate the disturbance and the estimation is served as compensation for the controller. A rigorous analysis based on the Lyapunov stability theory is provided to prove that the proposed control method can achieve faster dynamic response characteristic and higher steady accuracy than the linear sliding mode control method and the PID control method. Numerical simulation results are explored to illustrate the superiority of the proposed approach.

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Acknowledgements

This work is supported by National Natural Science Foundation of China (61673153, 61304007) and the Fundamental Research Funds for the Central Universities (JZ2017HGPA0163, JZ2016HGXJ0023).

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Authors and Affiliations

  1. School of Electrical Engineering and Automation, Hefei University of Technology, Hefei, 230009, Anhui, People’s Republic of China

    Jin Li, Haibo Du, Yingying Cheng, Xiuping Chen & Canghua Jiang

  2. School of Mathematics, Southeast University, Nanjing, 210096, Jiangsu, People’s Republic of China

    Guanghui Wen

  3. School of Engineering, RMIT University, Melbourne, VIC, 3001, Australia

    Guanghui Wen

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  1. Jin Li
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  2. Haibo Du
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  3. Yingying Cheng
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Correspondence to Haibo Du.

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Li, J., Du, H., Cheng, Y. et al. Position tracking control for permanent magnet linear motor via fast nonsingular terminal sliding mode control. Nonlinear Dyn 97, 2595–2605 (2019). https://doi.org/10.1007/s11071-019-05150-y

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