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An Improved Non-cascade Adaptive Integral Sliding Mode Control for PMSM Servo Systems

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Abstract

This paper addresses the problems of the non-cascade adaptive integral sliding mode control (ISMC) for permanent magnet synchronous motors (PMSMs). Firstly, by taking the external disturbances and internal parametric uncertainties into full consideration, a surface-mounted PMSM is modeled as a singularly perturbed system by singular perturbation theory. Then, the discrete-time nonlinear tracking differentiator and the disturbance observer (DO) are presented, arranging a favorable transition dynamic and estimating the lumped disturbances, respectively. As a result, a novel integral sliding mode surface function and the constructed DO-based adaptive ISMC law are subsequently designed, thus guaranteeing the reachability condition and closed-loop system stability. Furthermore, the \(H_\infty \) control approach is employed to design the non-cascade controller gain, by solving a set of linear matrix inequalities. Finally, the advantages and effectiveness of the proposed methods are demonstrated by the comparison results.

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Funding

This work were supported by the National Natural Science Foundation of China under Grant 41576096 and 42176211, Fundamental Research Funds for the Central Universities under Grant 3216002104D and Postgraduate Research & Practice Innovation Program of Jiangsu Province under Grant SJCX20_0013.

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Authors and Affiliations

  1. School of Electrical Engineering, Southeast University, No. 2 Sipailou, Nanjing, 210096, China

    Zhiyuan Che, Haitao Yu & Murad Ali

  2. Graduate School of Intelligent Data Science, National Yunlin University of Science and Technology, 123 University Road, Douliu, Taiwan, 640301, China

    Saleh Mobayen

Authors
  1. Zhiyuan Che
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  2. Haitao Yu
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  3. Saleh Mobayen
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  4. Murad Ali
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Correspondence to Haitao Yu.

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Conflict of interest

The authors declare no conflict of interests. In addition, this is a joint work and the authors were in charge of their expertise and capability: Zhiyuan Che contributed to investigation, analysis and writing; Haitao Yu performed validation and revision; Saleh Mobayen contributed to methodology; Murad Ali contributed to manuscript revision. The authors would like to express their gratitude to all those who helped them during the writing of this paper. And the authors would like to thank the reviewers for their valuable comments and suggestions.

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Che, Z., Yu, H., Mobayen, S. et al. An Improved Non-cascade Adaptive Integral Sliding Mode Control for PMSM Servo Systems. Circuits Syst Signal Process 43, 1429–1451 (2024). https://doi.org/10.1007/s00034-023-02555-4

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  • DOI: https://doi.org/10.1007/s00034-023-02555-4

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