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Extended state observer-based backstepping sliding mode control for an electromagnetic valve actuator

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Abstract

This paper presents an extended state observer-based backstepping sliding mode control method (ESO-based BSMC) to achieve precise motion control for the electromagnetic valve actuator (EMVA). The extended state observer is introduced to compensate external disturbance and model uncertainties of the system, the backstepping method is used to decompose the system into some subsystems, and the sliding mode control is designed to guarantee the valve to follow the desired valve motion. The stability of the proposed control system is verified through Lyapunov stability theorem. Simulation results demonstrate that the proposed method avoids chattering problem, and it is robust to external disturbance and model uncertainties. Experimental results show the similar behavior as the simulations within an acceptable error. A transition time of 3.9 ms and a seating velocity less than 0.03 m/s are obtained to prove the effectiveness of the proposed method. Moreover, fully flexible valve actuator has been fulfilled and the valve motion profiles are given.

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References

  1. Z. Lou et al., Camless variable valve actuator with two discrete lifts, SAE Paper 2015–01–0324 (2015).

    Book  Google Scholar 

  2. D. Cope et al., Fully flexible electromagnetic valve actuator: design, modeling, and measurements, SAE Paper 2008–01–1350 (2008).

    Google Scholar 

  3. P. Gillella, X. Song and X. Sun, Time–varying internal model–based control of a camless engine valve actuation system, IEEE Transactions Control Systems Technology, 22 (4) (2014) 1498–1510.

    Article  Google Scholar 

  4. M. Pournazeri, A. Khajepour and A. Fazeli, An efficient lift control technique in electro–hydraulic camless valvetrain using variable speed hydraulic pump, SAE paper 2011–01–0940 (2011).

    Book  Google Scholar 

  5. B. Paden et al., Modeling and control of an electromagnetic variable valve actuation system, IEEE/ASME Transactions on Mechatronics, 20 (6) (2015) 2654–2655.

    Article  MathSciNet  Google Scholar 

  6. Y. Yang et al., Multiobjective optimal design and soft landing control of an electromagnetic valve actuator for a camless engine, IEEE/ASME Transactions on Mechatronics, 18 (3) (2013) 963–972.

    Article  Google Scholar 

  7. P. Eyabi and G. Washington, Modeling and sensorless control of an electromagnetic valve actuator, Mechatronics, 16 (2006) 159–175.

    Article  Google Scholar 

  8. P. Mercorelli and N. Werner, An adaptive resonance regulator design for motion control of intake valves in camless engine systems, IEEE Transactions on Industrial Electronics, 64 (4) (2017) 3413–3422.

    Article  Google Scholar 

  9. S. Chang and L. Liu, A moving coil permanent magnet linear actuator with high power density, Chinese Patent, CN101127474B (2010).

    Google Scholar 

  10. C. Chladny and C. Koch, Flatness–based tacking of an electromechanical variable valve timing actuator with disturbance observer feedforward compensation, IEEE Transactions on Control Systems Technology, 16 (4) (2008) 652–663.

    Article  Google Scholar 

  11. T. Parlikar et al., Design and experimental implementation of an electromagnetic engine valve drive, IEEE/ASME Transactions on Mechatronics, 10 (5) (2005) 482–494.

    Article  Google Scholar 

  12. L. Liu and S. Chang, Motion control of an electromagnetic valve actuator based on the inverse system method, Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 226 (1) (2012) 85–93.

    Article  Google Scholar 

  13. P. Mercorelli, A motion sensorless control for intake valves in combustion engines, IEEE Transactions on Industrial Electronics, 64 (4) (2017) 3402–3412.

    Article  Google Scholar 

  14. L. Chen, P. Mercorelli and S. Liu, A kalman estimator for detecting repetitive distrubances, Proceedings of the American Control Conference, 3 (2005) 1631–1636.

    Google Scholar 

  15. R. Huang and Y. Zhao, A control strategy based on exact linearization for electromagnetic valve actuation, SAE Paper 2007–01–1596 (2007).

    Google Scholar 

  16. J. Tsai, C. Koch and M. Saif, Cycle adaptive feedforward approach controllers for an electromagnetic valve actuator, IEEE Transactions on Control Systems Technology, 20 (3) (2012) 738–746.

    Article  Google Scholar 

  17. H. Wu et al., Iterative learning control for a fully flexible valve actuation in a test cell, SAE Paper 2012–01–0162 (2012).

    Google Scholar 

  18. K. Peterson and A. Stefanopoulou, Extremum seeking control for soft landing of an electromechanical valve actuator, Automatica, 40 (2004) 1063–1069.

    Article  MATH  Google Scholar 

  19. A. Fabbrini, A. Garulli and P. Mercorelli, A trajectory generation algorithm for optimal consumption in electromagnetic actuators, IEEE Transactions on Control Systems Technology, 20 (4) (2012) 1025–1032.

    Article  Google Scholar 

  20. L. Liu and S. Chang, Improvement of valve seating performance of engine’s electromagnetic valvetrain, Mechatronics, 21 (2011) 1234–1238.

    Article  Google Scholar 

  21. Q. Su et al., Improved adaptive backstepping sliding mode control for generator steam valves of nonlinear power systems, IET Control Theory and Applications, 11 (9) (2017) 1414–1419.

    Article  MathSciNet  Google Scholar 

  22. J. Lu et al., Point–to–point motion control of an electromagnetic direct–drive gas valve, Journal of Mechanical Science & Technology, 32 (1) (2018) 363–371.

    Article  Google Scholar 

  23. Y. Xia, Z. Zhu and M. Fu, Back–stepping sliding mode control for missile systems based on an extended state observer, IET Control Theory and Applications, 5 (1) (2011) 93–102.

    Article  MathSciNet  Google Scholar 

  24. J. Yao, Z. Jiao and B. Yao, Nonlinear adaptive robust backstepping force control of hydraulic load simulator: theory and experiments, Journal of Mechanical Science & Technology, 28 (4) (2014) 1499–1507.

    Article  MathSciNet  Google Scholar 

  25. J. Liu, Sliding Mode Control Design and Matlab Simulation, Second Ed., Tsinghua University Press, Beijing, China (2012).

    Google Scholar 

  26. P. Cominos and N. Munro, PID controllers: Recent tuning methods and design to specification, IEE Proceedings Control Theory and Applications, 149 (1) (2002) 46–53.

    Google Scholar 

  27. A. Sumnu, İ. H. Güzelbey and M. V. Çakir, Simulation and PID control of a Stewart plantform with linear motor, Journal of Mechanical Science & Technology, 31 (1) (2017) 345–356.

    Article  Google Scholar 

  28. Z. Zhu et al., Missile guidance law based on extended state observer, IEEE Transactions on Industrial Electronics, 60 (12) (2013) 5882–5891.

    Article  Google Scholar 

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Authors and Affiliations

  1. School of Mechanical Engineering, Nanjing University of Science and Technology, 200 Xiaolingwei Street, Xuanwu District, Nanjing, 210094, China

    Aimin Fan & Siqin Chang

Authors
  1. Aimin Fan
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  2. Siqin Chang
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Corresponding author

Correspondence to Siqin Chang.

Additional information

Recommended by Associate Editor Sangyoon Lee

Aimin Fan received a B.Eng. degree in vehicle engineering from Nanjing University of Science and Technology, Nanjing, China. Now, she is a Ph.D. candidate in Mechanical Engineering from Nanjing University of Science and Technology, Nanjing, China. And her research interests include precision motion control of electromagnetic valve actuator and advanced control method.

Siqin Chang is the Professor in the Department of Mechanical Engineering, Nanjing University of Science and Technology. He obtained a Ph.D. in Vehicle Engineering from Huazhong University of Science, Wuhan, China. In the recent ten years, he has worked in the areas of electronic vehicle control system, mechatronics technology and automobile power system.

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Fan, A., Chang, S. Extended state observer-based backstepping sliding mode control for an electromagnetic valve actuator. J Mech Sci Technol 33, 847–856 (2019). https://doi.org/10.1007/s12206-019-0142-3

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  • DOI: https://doi.org/10.1007/s12206-019-0142-3

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