Disturbance Rejection Control Method Based on Variable Damping and Port Controlled Hamiltonian with Dissipation Model for Induction Drive Motor

Authors

Bo Fan, Guoxing Huang, Lifan Sun, Yi Zhao, Hangyu Zhou, Jianxiang Wang

Abstract

The conventional nonlinear control methods for induction motors have the problem of difficult observation of rotor current, and load disturbances make the dynamic performance of the system speed control unsatisfactory. A novel disturbance rejection control scheme with variable damping model based on port controlled Hamiltonian with dissipation is proposed. The induction drive is regarded as energy conversion device including mechanical and electrical ports. The Euler Lagrange equation of the closed-loop system is obtained by the output feedback to establish the energy shaping control method. The variable damping injection is introduced to improve the dynamic performance of the conventional control methods. The \( \)L_2\( \) L 2 disturbance rejection controller is designed to enhance the load disturbance resistance performance of induction motors. The experimental results show that the proposed method can optimize the dynamic and steady-state performance of the induction drive control system and effectively meet the control requirements of the speed and torque under load disturbances.

Keywords

Disturbance rejection control; Variable damping injection; Port controlled Hamiltonian with dissipation; Induction drive motor

Citation

• Journal: International Journal of Precision Engineering and Manufacturing
• Year: 2023
• Volume: 24
• Issue: 11
• Pages: 2009–2019
• Publisher: Springer Science and Business Media LLC
• DOI: 10.1007/s12541-023-00863-y

BibTeX

@article{Fan_2023,
  title={{Disturbance Rejection Control Method Based on Variable Damping and Port Controlled Hamiltonian with Dissipation Model for Induction Drive Motor}},
  volume={24},
  ISSN={2005-4602},
  DOI={10.1007/s12541-023-00863-y},
  number={11},
  journal={International Journal of Precision Engineering and Manufacturing},
  publisher={Springer Science and Business Media LLC},
  author={Fan, Bo and Huang, Guoxing and Sun, Lifan and Zhao, Yi and Zhou, Hangyu and Wang, Jianxiang},
  year={2023},
  pages={2009--2019}
}

Download the bib file

References

• Auckly, D., Kapitanski, L. & White, W. Control of nonlinear underactuated systems. Comm. Pure Appl. Math. 53, 354–369 (2000) – 10.1002/(sici)1097-0312(200003)53:3<354::aid-cpa3>3.0.co;2-u
• Gil-Gonzalez, W. J., Garces, A., Fosso, O. B. & Escobar-Mejia, A. Passivity-Based Control of Power Systems Considering Hydro-Turbine With Surge Tank. IEEE Trans. Power Syst. 35, 2002–2011 (2020) – 10.1109/tpwrs.2019.2948360
• Bastos, G., Jr. & Franco, E. Energy shaping dynamic tube-MPC for underactuated mechanical systems. Nonlinear Dyn 106, 359–380 (2021) – 10.1007/s11071-021-06863-9
• Chen, G. & Huo, W. A matrix algorithm based on controlled Lagrangians for stabilizing mechanical systems with underactuation degree one. Nonlinear Dyn 108, 3623–3642 (2022) – 10.1007/s11071-022-07417-3
• van der Schaft, A. & Jeltsema, D. Port-Hamiltonian Systems Theory: An Introductory Overview. FnT in Systems and Control 1, 173–378 (2014) – 10.1561/2600000002
• L2-Gain and Passivity Techniques in Nonlinear Control, Third Edition [Bookshelf]. IEEE Control Syst. 37, 75–76 (2017) – 10.1109/mcs.2017.2743535
• van der Schaft, A. & Jeltsema, D. Limits to Energy Conversion. IEEE Trans. Automat. Contr. 67, 532–538 (2022) – 10.1109/tac.2021.3075652
• Ortega, R., Pyrkin, A., Bobtsov, A., Efimov, D. & Aranovskiy, S. A Globally Convergent Adaptive Indirect Field‐Oriented Torque Controller for Induction Motors. Asian Journal of Control 22, 11–24 (2018) – 10.1002/asjc.1904
• Zhang, M., Ortega, R., Jeltsema, D. & Su, H. Further deleterious effects of the dissipation obstacle in control-by-interconnection of port-Hamiltonian systems. Automatica 61, 227–231 (2015) – 10.1016/j.automatica.2015.08.010
• Zhang, M., Borja, P., Ortega, R., Liu, Z. & Su, H. PID Passivity-Based Control of Port-Hamiltonian Systems. IEEE Trans. Automat. Contr. 63, 1032–1044 (2018) – 10.1109/tac.2017.2732283
• A Yaghmaei, International Journal of Robust and Nonlinear Control (2018)
• Maschke, B. & Schaft, A. van der. Structure preserving feedback of port-thermodynamic systems. IFAC-PapersOnLine 52, 418–423 (2019) – 10.1016/j.ifacol.2019.11.816
• Maschke, B., Philipp, F., Schaller, M., Worthmann, K. & Faulwasser, T. Optimal control of thermodynamic port-Hamiltonian Systems. IFAC-PapersOnLine 55, 55–60 (2022) – 10.1016/j.ifacol.2022.11.028
• Cao, Z., Hou, X. & Zhao, W. Adaptive robust simultaneous stabilization controller with tuning parameters design for two dissipative Hamiltonian systems. Archives of Control Sciences 27, 505–525 (2017) – 10.1515/acsc-2017-0030
• Chen, M. Disturbance Attenuation Tracking Control for Wheeled Mobile Robots With Skidding and Slipping. IEEE Trans. Ind. Electron. 64, 3359–3368 (2017) – 10.1109/tie.2016.2613839
• Sun, W., Lv, X., Wang, K. & Wang, L. Observer-based output feedback stabilisation and ℒ2-disturbance attenuation of uncertain Hamiltonian systems with input and output delays. International Journal of Systems Science 50, 2565–2578 (2019) – 10.1080/00207721.2019.1671532
• Fujimoto, K., Sakai, S. & Sugie, T. Passivity based control of a class of Hamiltonian systems with nonholonomic constraints. Automatica 48, 3054–3063 (2012) – 10.1016/j.automatica.2012.08.032
• Okura, Y., Fujimoto, K. & Kojima, C. Virtual Holonomic Constraints Control for port-Hamiltonian Systems: A Case Study of Fully Actuated Mechanical Systems. IFAC-PapersOnLine 53, 5598–5603 (2020) – 10.1016/j.ifacol.2020.12.1573
• Zhang, Q. & Liu, G. Precise Control of Elastic Joint Robot Using an Interconnection and Damping Assignment Passivity-Based Approach. IEEE/ASME Trans. Mechatron. 21, 2728–2736 (2016) – 10.1109/tmech.2016.2578287
• Q Gao, Shock and Vibration. (2018)
• Wang, W., Shen, H., Hou, L. & Gu, H. ${H_\infty}$ Robust Control of Permanent Magnet Synchronous Motor Based on PCHD. IEEE Access 7, 49150–49156 (2019) – 10.1109/access.2019.2893243
• Zhang, X., Lu, Z., Yuan, X., Wang, Y. & Shen, X. L2-Gain Adaptive Robust Control for Hybrid Energy Storage System in Electric Vehicles. IEEE Trans. Power Electron. 36, 7319–7332 (2021) – 10.1109/tpel.2020.3041653
• Paunonen, L., Le Gorrec, Y. & Ramírez, H. A Lyapunov Approach to Robust Regulation of Distributed Port–Hamiltonian Systems. IEEE Trans. Automat. Contr. 66, 6041–6048 (2021) – 10.1109/tac.2021.3069679
• Wang, Z.-M., Wei, A., Zong, G., Zhao, X. & Li, H. Finite-time stabilization andH∞control for a class of switched nonlinear port-controlled Hamiltonian systems subject to actuator saturation. Journal of the Franklin Institute 357, 11807–11829 (2020) – 10.1016/j.jfranklin.2019.11.055
• Fu, B., Wang, Q. & Li, P. Finite-time stabilization and H∞ control of Port-controlled Hamiltonian systems with disturbances and saturation. PLoS ONE 16, e0255797 (2021) – 10.1371/journal.pone.0255797
• Amrouche, B., Otmane Cherif, T., Ghanes, M. & Iffouzar, K. A passivity-based controller for coordination of converters in a fuel cell system used in hybrid electric vehicle propelled by two seven phase induction motor. International Journal of Hydrogen Energy 42, 26362–26376 (2017) – 10.1016/j.ijhydene.2017.08.099
• R Reyes-Baez, Automatica. (2022)