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A practical nonlinear controller for levitation system with magnetic flux feedback

  • Mechanical Engineering, Control Science and Information Engineering
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Abstract

This work proposes a practical nonlinear controller for the MIMO levitation system. Firstly, the mathematical model of levitation modules is developed and the advantages of the control scheme with magnetic flux feedback are analyzed when compared with the current feedback. Then, a backstepping controller with magnetic flux feedback based on the mathematical model of levitation module is developed. To obtain magnetic flux signals for full-size maglev system, a physical method with induction coils installed to winding of the electromagnet is developed. Furthermore, to avoid its hardware addition, a novel conception of virtual magnetic flux feedback is proposed. To demonstrate the feasibility of the proposed controller, the nonlinear dynamic model of full-size maglev train with quintessential details is developed. Based on the nonlinear model, the numerical comparisons and related experimental validations are carried out. Finally, results illustrating closed-loop performance are provided.

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References

  1. LI J H, LI J, ZHOU D F, YU P C. Self-excited vibration problems of maglev vehicle-bridge interaction system [J]. Journal of Central South University, 2014, 21: 4184–4192

    Article  Google Scholar 

  2. ZHOU D F, HANSEN C H, LI J. Suppression of maglev vehicle-girder self-excited vibration using a virtual tuned mass damper [J]. J Sound Vib, 2011, 330(5): 883–901.

    Article  Google Scholar 

  3. WAI R J, LEE J D, CHUANG K L. Real-time PID control strategy for maglev transportation system via particle swarm optimization [J]. IEEE Trans Ind Electron, 2011, 58(2): 629–646.

    Article  Google Scholar 

  4. CHEN M Y, LIN T B, HUNG S K, LI C. Design and experiment of a Macro-micro planar maglev positioning system [J]. IEEE Trans Ind Electron, 2012, 59(11): 4128–4139.

    Article  Google Scholar 

  5. ZHANG Y J, CHAI T Y, WANG H. A nonlinear control method based on ANFIS and multiple models for a class of SISO nonlinear systems and its application [J]. IEEE Trans Ind Electron, 2011, 22(11): 1783–1795.

    Google Scholar 

  6. UDDIN M N. An adaptive-filter-based torque-ripple minimization of a fuzzy-logic controller for speed control of IPM motor drives [J]. IEEE Trans Ind Electron, 2011, 47(1): 350–358.

    Google Scholar 

  7. LI J H, LI J, ZHANG G. A practical robust nonlinear controller for maglev levitation system [J]. Journal of Central South University, 2013, 20: 2991–3001.

    Article  Google Scholar 

  8. LI J H, LI J, YU P C, WANG L C. Adaptive backstepping control for levitation system with load uncertainties and external disturbances [J]. Journal of Central South University, 2014, 21: 4478–4488.

    Article  Google Scholar 

  9. ZHANG W Q, LI J, ZHANG K, CUI P. Stability and bifurcation in magnetic flux feedback maglev control system [J]. Mathematical Problems in Engineering, 2011, 47(1): 350–358.

    MathSciNet  Google Scholar 

  10. YI J H, PARK K H, KIM S H, KWAK Y K, ABDELFATAH M, BUSCH I. Robust force control for a magnetically levitated manipulator using flux density measurement [J]. Control Eng Practice, 1996, 4(7): 957–965.

    Article  Google Scholar 

  11. ALBERT T E, OLESZCZUK G, HANASOGE A M. Stable levitation control of magnetically suspended vehicles with structural flexibility [C]// Proceedings of the 2008 American Control Conference. Washington: ACC, 2008: 4035–4040.

    Chapter  Google Scholar 

  12. TANG Z J, TSUBAKIHARA H, KANAE S, WADA K, SU C Y. A novel robust nonlinear motion controller with disturbance observer [J]. IEEE Trans Contr Syst, 2008, 16(1): 137–147.

    Article  Google Scholar 

  13. BANG J S, SHIM H, PARK S K, SEO J H. Robust tracking and vibration suppression for a two inertia system by combining backstepping approach with disturbance observer [J]. IEEE Trans Ind Electron, 2010, 57(9): 3197–3206.

    Article  Google Scholar 

  14. YAGIZ N, HACIOGLU Y. Backstepping control of a vehicle with active suspensions [J]. Control Engineering Practice, 2008, 16(9): 1457–1467.

    Article  Google Scholar 

  15. TONG S C, HE X L, ZHANG H G. A combined backstepping and small-gain approach to robust adaptive fuzzy output feedback control [J]. IEEE Trans Fuzzy Syst, 2009, 17(5): 1059–1069.

    Article  Google Scholar 

  16. TONG S C, HUO B Y, LI Y M. Adaptive fuzzy output feedback tracking backstepping control of strict-feedback nonlinear systems with unknown dead zones [J]. IEEE Trans Fuzzy Syst, 2012, 20(1): 168–180.

    Article  Google Scholar 

  17. TONG S C, LI Y M. Observer-based adaptive decentralized fuzzy fault-tolerant control of nonlinear large-scale systems with actuator failures [J]. IEEE Trans Fuzzy Syst, 2014, 22(1): 1–15.

    Article  Google Scholar 

  18. HUA C C, LIU P X, GUAN X P. Backstepping control for nonlinear systems with time delays and applications to chemical reactor systems [J]. IEEE Trans Ind Electron, 2009, 56(9): 3723–3732.

    Article  Google Scholar 

  19. PAN Y P, WANG J. Model predictive control of unknown nonlinear dynamical systems based on recurrent neural networks [J]. IEEE Trans Ind Electron, 2012, 59(8): 3089–3101.

    Article  Google Scholar 

  20. WEN C Y, ZHOU J, LIU Z T, SU H Y. Robust adaptive control of uncertain nonlinear systems in the presence of input saturation and external disturbance [J]. IEEE Trans Ind Electron, 2011, 56(7): 1672–1678.

    MathSciNet  Google Scholar 

  21. LIN F J, TENG L T, SHIEH P H. Adaptive backstepping control system for magnetic levitation apparatus using recurrent neural network [J]. IEEE Trans Magn, 2007, 43(5): 2009–2018.

    Article  Google Scholar 

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Authors and Affiliations

  1. College of Mechatronics Engineering and Automation, National University of Defense Technology, Changsha, 410073, China

    Jin-hui Li  (李金辉) & Jie Li  (李杰)

  2. The First Engineers Scientific Research Institute of the General Armaments Department, Wuxi, 214035, China

    Jin-hui Li  (李金辉)

Authors
  1. Jin-hui Li  (李金辉)
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  2. Jie Li  (李杰)
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Corresponding author

Correspondence to Jie Li  (李杰).

Additional information

Foundation item: Projects(11302252, 11202230) supported by the National Natural Science Foundation of China

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Li, Jh., Li, J. A practical nonlinear controller for levitation system with magnetic flux feedback. J. Cent. South Univ. 23, 1729–1739 (2016). https://doi.org/10.1007/s11771-016-3227-5

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  • DOI: https://doi.org/10.1007/s11771-016-3227-5

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