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Stability and stabilization for the coupling permanent magnet synchronous motors system with input delay

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Abstract

This paper studied the problem of stability and stabilization for a coupling permanent magnet synchronous motors (CPMSMs) system with input delay. Input delays caused by communication or calculation were firstly considered in CPMSMs system. Firstly, the mathematical model of the CPMSMs system with input delay and nonlinear constraints was established, in which the input delay is modeled as: time-invariant input delay and time-varying input delay. Then, two novel Lyapunov–Krasovskii (L–K) functionals were constructed for different input delays. Furthermore, based on the proposed L–K functionals, stability conditions and synchronization controllers were derived in the form of linear matrix inequalities. Finally, the effectiveness of the proposed control strategy was shown by simulation results.

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Acknowledgements

This work was partially supported by National Key R&D Program of China (2018YFB1308300), Science Fund for Creative Research Groups of Hebei Province (F2020203013), National Natural Science Foundation of China (U20A20187, 618255304), National defence fundamental project (2020A130), Science and Technology Development Grant of Hebei Province (20311803D, 19011824Z), Postgraduate Innovation Project of Hebei Province (CXZZBS2021138), Natural Science Foundation of Hebei Province (F2018203370), China Scholarship Council(202108130135) and the S&T Program of Hebei Province (F2020203037).

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  1. School of Electrical Engineering, Yanshan University, Qinhuangdao, 066004, China

    Changchun Hua, Yibo Wang, Liuliu Zhang & Weili Ding

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  1. Changchun Hua
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  2. Yibo Wang
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  3. Liuliu Zhang
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  4. Weili Ding
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Correspondence to Changchun Hua.

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Hua, C., Wang, Y., Zhang, L. et al. Stability and stabilization for the coupling permanent magnet synchronous motors system with input delay. Nonlinear Dyn 107, 3461–3471 (2022). https://doi.org/10.1007/s11071-021-07164-x

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