Authors

Wei Wang, Hesong Shen, Limin Hou, Haiwang Gu

Abstract

The surface permanent magnet synchronous motor (SPMSM) speed regulation system is easily affected by the inner parameter perturbation and the external load disturbance at run time. To solve this problem, the \\( {H_\infty } \\) robust control strategy is proposed in this paper. First, given the systematic uncertainties, the \\( {H_\infty } \\) robust current controller based on the Hamilton–Jacobi Inequality is designed to ensure the robustness of current control under the SPMSM nominal mathematical model. This model is expressed as the port-controlled Hamiltonian with the dissipation form; second, the linear matrix inequality-based \\( {H_\infty } \\) sliding surface and the sliding control law are designed under the extended state space expression of the SPMSM motion equation. Thereby, the robust \\( {H_\infty } \\) sliding mode speed controller is acquired, thus realizing the robustness of speed control and improving the dynamic characteristics of the system. Finally, the effectiveness and availability of the proposed control strategy are verified by the hardware-in-the-loop simulation experiment.

Citation

  • Journal: IEEE Access
  • Year: 2019
  • Volume: 7
  • Issue:
  • Pages: 49150–49156
  • Publisher: Institute of Electrical and Electronics Engineers (IEEE)
  • DOI: 10.1109/access.2019.2893243

BibTeX

@article{Wang_2019,
  title={{${H_\infty}$  Robust Control of Permanent Magnet Synchronous Motor Based on PCHD}},
  volume={7},
  ISSN={2169-3536},
  DOI={10.1109/access.2019.2893243},
  journal={IEEE Access},
  publisher={Institute of Electrical and Electronics Engineers (IEEE)},
  author={Wang, Wei and Shen, Hesong and Hou, Limin and Gu, Haiwang},
  year={2019},
  pages={49150--49156}
}

Download the bib file

References

  • xu, Two-vector based model predictive current control for permanent magnet synchronous motor. Trans China Electrotech Soc (2017)
  • zheng, Current controller for AC motors using model predictive control. Trans China Electrotech Soc (2013)
  • wu, Passivity-based control of permanent-magnet synchronous motor based on extended PCHD. Control Decis (2013)
  • wu, Speed sensorless $H\infty$ control for PMSM based on energy function. Chinese Journal of Mechanical Engineering (2016)
  • Xu, X., Yu, H., Liu, X. & Zhao, B. Robot joint position control based on sliding mode and the port-controlled hamiltonian method. 2018 Chinese Control And Decision Conference (CCDC) 4392–4397 (2018) doi:10.1109/ccdc.2018.8407890 – 10.1109/ccdc.2018.8407890
  • huang, Research of vector control technology of PMSM based on port-controlled hamiltonian theory. Chinese Journal of Power Sources (2016)
  • wu, Robust control for permanent magnet synchronous motors based on hamiltonian function. Acta Phys Sinica (2015)
  • hou, Passivity-based control and nonsingular fast terminal sliding mode control for SPMSM. Trans China Electrotech Soc (2014)
  • Jin, X.-Z., Wang, S.-F., Yang, G.-H. & Ye, D. Robust adaptive hierarchical insensitive tracking control of a class of leader-follower agents. Information Sciences 406–407, 234–247 (2017) – 10.1016/j.ins.2017.04.036
  • Chang, X.-H. & Yang, G.-H. New Results on Output Feedback <formula formulatype=”inline”> <tex Notation=”TeX”>$H_{\infty} $</tex></formula> Control for Linear Discrete-Time Systems. IEEE Trans. Automat. Contr. 59, 1355–1359 (2014) – 10.1109/tac.2013.2289706
  • hou, Robust sliding mode control of PMSM based on cascaded sliding mode observers. Control Decis (2016)
  • De Soricellis, M., Da Ru, D. & Bolognani, S. A Robust Current Control Based on Proportional-Integral Observers for Permanent Magnet Synchronous Machines. IEEE Trans. on Ind. Applicat. 54, 1437–1447 (2018) – 10.1109/tia.2017.2772171
  • huang, Sliding mode control for current loop by second order terminal sliding mode. Electr Mach Control (2018)
  • chang, Quantized fuzzy output feedback $H_\infty$ control for nonlinear systems with adjustment of dynamic parameters. IEEE Trans Syst Man Cybern Syst (0)
  • Yin, Z., Han, X., Du, C., Liu, J. & Zhong, Y. Research on Model Predictive Current Control for Induction Machine Based on Immune-Optimized Disturbance Observer. IEEE J. Emerg. Sel. Topics Power Electron. 6, 1699–1710 (2018) – 10.1109/jestpe.2018.2820050
  • saad, Robust sliding mode $H_\infty$ control for A class of unmatched systems. Int Conf Adv Syst Electr Technl (2017)
  • wei, PWM predictive current control of permanent magnet synchronous motor based on extended state observer. Control Decis (2018)
  • Sabatini, V. et al. FPGA-based Model Predictive Control for High Frequency Variable Speed Generating Units. 2018 International Symposium on Power Electronics, Electrical Drives, Automation and Motion (SPEEDAM) 1364–1369 (2018) doi:10.1109/speedam.2018.8445389 – 10.1109/speedam.2018.8445389
  • Dong, L., Yan, J., Yuan, X., He, H. & Sun, C. Functional Nonlinear Model Predictive Control Based on Adaptive Dynamic Programming. IEEE Trans. Cybern. 49, 4206–4218 (2019) – 10.1109/tcyb.2018.2859801
  • Zhao, X., Wang, X., Zong, G. & Li, H. Fuzzy-Approximation-Based Adaptive Output-Feedback Control for Uncertain Nonsmooth Nonlinear Systems. IEEE Trans. Fuzzy Syst. 26, 3847–3859 (2018) – 10.1109/tfuzz.2018.2851208
  • Zhang, X., Zhang, L. & Zhang, Y. Model Predictive Current Control for PMSM Drives With Parameter Robustness Improvement. IEEE Trans. Power Electron. 34, 1645–1657 (2019) – 10.1109/tpel.2018.2835835
  • Jin, X., Wang, S., Qin, J., Zheng, W. X. & Kang, Y. Adaptive Fault-Tolerant Consensus for a Class of Uncertain Nonlinear Second-Order Multi-Agent Systems With Circuit Implementation. IEEE Trans. Circuits Syst. I 65, 2243–2255 (2018) – 10.1109/tcsi.2017.2782729
  • Chang, X.-H., Xiong, J., Li, Z.-M. & Park, J. H. Quantized Static Output Feedback Control For Discrete-Time Systems. IEEE Trans. Ind. Inf. 14, 3426–3435 (2018) – 10.1109/tii.2017.2774446
  • Arceo, J. C., Sanchez, M., Estrada-Manzo, V. & Bernal, M. Convex Stability Analysis of Nonlinear Singular Systems via Linear Matrix Inequalities. IEEE Trans. Automat. Contr. 64, 1740–1745 (2019) – 10.1109/tac.2018.2854651
  • Zhao, X., Shi, P. & Zheng, X. Fuzzy Adaptive Control Design and Discretization for a Class of Nonlinear Uncertain Systems. IEEE Trans. Cybern. 46, 1476–1483 (2016) – 10.1109/tcyb.2015.2447153
  • Valente, G., Formentini, A., Papini, L., Gerada, C. & Zanchetta, P. Performance Improvement of Bearingless Multisector PMSM With Optimal Robust Position Control. IEEE Trans. Power Electron. 34, 3575–3585 (2019) – 10.1109/tpel.2018.2853038
  • Turki, F., Gritli, H. & Belghith, S. A linear matrix inequality approach for the position control of a double-side impact mechanical oscillator via a state feedback law. 2018 International Conference on Advanced Systems and Electric Technologies (IC_ASET) 118–124 (2018) doi:10.1109/aset.2018.8379845 – 10.1109/aset.2018.8379845
  • hou, SMC for systems with matched and mismatched uncertainties and disturbances based on NDOB. ACTA Automatica Sinica (2017)
  • liu, Integrated robust active fault tolerance controller design based on linear matrix inequality. Control Decis (2018)