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A novel inverse modeling control for piezo positioning stage

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Abstract

This paper focuses on the application of a novel inverse nonlinear autoregressive with exogenous input (NARX) structure and a fuzzy inference system on position control of a piezo positioning stage (PPS) system. The highly relationship between input voltage and output displacement is thoroughly modeled by using the inverse fuzzy NARX model-based identification process with the experiment training data. The unknown parameters of the proposed NARX fuzzy model was obtained base on a hybridization between backtracking search algorithm and gradient descent technique. A combination between fuzzy propositional–integral–derivative controller and inverse modeling feedforward controller was then applied to control PPS with several challenged working condition. The results show efficiency of the proposed method for the PPS system in terms of high tracking precision and excellent dynamic performance.

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References

  1. D. Croft, G. Shedd and S. Devasia, Creep, hysteresis, and vibration compensation for piezoactuators: Atomic force microscopy application, Proceedings of the 2000 American Control Conference, ACC (IEEE Cat. No. 00CH36334) (2000).

    Google Scholar 

  2. P. J. M. Michael and A. Paesler, Near–field optics: Theory, instrumentation, and applications, John Wiley, Newyork (1996).

    Google Scholar 

  3. A. J. Fleming and S. O. R. Moheimani, Sensorless vibration suppression and scan compensation for piezoelectric tube nanopositioners, IEEE Transactions on Control Systems Technology, 14 (1) (2006) 33–44.

    Article  Google Scholar 

  4. C. J. Lin and S. R. Yang, Precise positioning of piezoactuated stages using hysteresis–observer based control, Mechatronics, 16 (7) (2006) 417–426.

    Article  Google Scholar 

  5. H. J. Shieh and P. K. Huang, Trajectory tracking of piezo–electric positioning stages using a dynamic sliding–mode control, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 53 (10) (2006) 1872–1882.

    Article  Google Scholar 

  6. D. Huang, J. X. Xu, V. Venkataramanan and T. C. T. Huynh, High–performance tracking of piezoelectric positioning stage using current–cycle iterative learning control with gain scheduling, IEEE Transactions on Industrial Electronics, 61 (2) (2014) 1085–1098.

    Article  Google Scholar 

  7. R. Xu and M. Zhou, Sliding mode control with sigmoid function for the motion tracking control of the piezoactuated stages, Electronics Letters, 53 (2) (2017) 75–77.

    Article  Google Scholar 

  8. T. X. Dinh and K. K. Ahn, Radial basis function neural network based adaptive fast nonsingular terminal sliding mode controller for piezo positioning stage, International Journal of Control, Automation and Systems, 15 (6) (2017) 2892–2905.

    Article  Google Scholar 

  9. T. X. Dinh and K. K. Ahn, Adaptive–gain fast nonsingular terminal sliding mode for position control of a piezo positioning stage, Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering (2018).

    Google Scholar 

  10. J. Lin, H. Chiang and C. C. Lin, Tuning PID control parameters for micro–piezo–stage by using grey relational analysis, Expert Systems with Applications, 38 (11) (2011) 13924–13932.

    Google Scholar 

  11. A. Sebastian and S. M. Salapaka, Design methodologies for robust nano–positioning, IEEE Transactions on Control Systems Technology, 13 (6) (2005) 868–876.

    Article  Google Scholar 

  12. C. Chang–Qing and S. Ya–Peng, Optimal control of active structures with piezoelectric modal sensors and actuators, Smart Materials and Structures, 6 (4) (1997) 403.

    Article  Google Scholar 

  13. Y. Wu and Q. Zou, Iterative control approach to compensate for both the hysteresis and the dynamics effects of piezo actuators, IEEE Transactions on Control Systems Technology, 15 (5) (2007) 936–944.

    Article  Google Scholar 

  14. J. X. Xu, D. Huang, V. Venkataramanan and T. C. T. Huynh, Extreme precise motion tracking of piezoelectric positioning stage using sampled–data iterative learning control, IEEE Transactions on Control Systems Technology, 21 (4) (2013) 1432–1439.

    Article  Google Scholar 

  15. P. K. Huang, P. H. Shieh, F. J. Lin and H. J. Shieh, Slidingmode control for a two–dimensional piezo–positioning stage, IET Control Theory & Applications, 1 (4) (2007) 1104–1113.

    Article  Google Scholar 

  16. X. Chen and T. Hisayama, Adaptive sliding–mode position control for piezo–actuated stage, IEEE Transactions on Industrial Electronics, 55 (11) (2008) 3927–3934.

    Article  Google Scholar 

  17. F. J. Lin, P. H. Shieh and P. H. Chou, Robust adaptive backstepping motion control of linear ultrasonic motors using fuzzy neural network, IEEE Transactions on Fuzzy Systems, 16 (3) (2008) 676–692.

    Article  Google Scholar 

  18. F. J. Lin, S. Y. Lee and P. H. Chou, Intelligent nonsingular terminal sliding–mode control using MIMO elman neural network for piezo–flexural nanopositioning stage, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 59 (12) (2012) 2716–2730.

    Article  Google Scholar 

  19. J. Yi, S. Chang and Y. Shen, Disturbance–observer–based hysteresis compensation for piezoelectric actuators, IEEE/ASME Transactions on Mechatronics, 14 (4) (2009) 456–464.

    Article  Google Scholar 

  20. B. N. M. Truong and K. K. Ahn, Inverse modeling and control of a dielectric electro–active polymer smart actuator, Sensors and Actuators A: Physical, 229 (2015) 118–127.

    Article  Google Scholar 

  21. D. N. C. Nam and K. K. Ahn, Identification of an ionic polymer metal composite actuator employing Preisach type fuzzy NARX model and particle swarm optimization, Sensors and Actuators A: Physical, 183 (2012) 105–114.

    Article  Google Scholar 

  22. K. K. Ahn and H. P. H. Anh, Inverse double NARX fuzzy modeling for system identification, IEEE/ASME Transactions on Mechatronics, 15 (1) (2010) 136–148.

    Article  Google Scholar 

  23. B. N. M. Truong, D. N. C. Nam and K. K. Ahn, Hysteresis modeling and identification of a dielectric electro–active polymer actuator using an APSO–based nonlinear Preisach NARX fuzzy model, Smart Materials and Structures, 22 (2013) 095004.

    Article  Google Scholar 

  24. K. K. Ahn and T. D. C. Thanh, Nonlinear PID control to improve the control performance of the pneumatic artificial muscle manipulator using neural network, Journal of Mechanical Science and Technology, 19 (9) (2005) 106–115.

    Article  Google Scholar 

  25. S. Rajendiran and P. Lakshmi, Simulation of PID and fuzzy logic controller for integrated seat suspension of a quarter car with driver model for different road profiles, Journal of Mechanical Science and Technology, 30 (10) (2016) 4565–4570.

    Article  Google Scholar 

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

    Article  Google Scholar 

  27. G. H. Jun and K. K. Ahn, Extended–state–observer–based nonlinear servo control of an electro–hydrostatic actuator, Journal of Drive and Control, 14 (4) (2017) 61–70.

    Google Scholar 

  28. T. W. Ha et al., Position control of an electro–hydrostatic rotary actuator using adaptive PID control, Journal of Drive and Control, 14 (4) (2017) 37–44.

    Google Scholar 

  29. H. P. H. Anh and K. K. Ahn, Hybrid control of a pneumatic artificial muscle (PAM) robot arm using an inverse NARX fuzzy model, Engineering Applications of Artificial Intelligence, 24 (4) (2011) 697–716.

    Article  Google Scholar 

  30. S. A. Billings, Nonlinear system identification: NARMAX methods in the time, frequency, and spatio–temporal domains, John Wiley & Sons (2013).

    Book  MATH  Google Scholar 

  31. F. Cheong and R. Lai, Constraining the optimization of a fuzzy logic controller using an enhanced genetic algorithm, Trans. Sys. Man Cyber. Part B, 30 (1) (2000) 31–46.

    Article  Google Scholar 

  32. P. Y. Jun, C. H. Suck and ·C. D. Hyuk, Genetic algorithmbased optimization of fuzzy logic controller using characteristic parameters, IEEE International Conference on Evolutionary Computation (1995).

    Google Scholar 

  33. P. Civicioglu, Backtracking search optimization algorithm for numerical optimization problems, Applied Mathematics and Computation, 219 (15) (2013) 8121–8144.

    Article  MathSciNet  MATH  Google Scholar 

  34. M. Boerlage, M. Steinbuch, P. Lambrechts and M. V. D. Wal, Model–based feedforward for motion systems, Proceedings of 2003 IEEE Conference on Control Applications (2003).

    Book  Google Scholar 

  35. K. K. Ahn and D. Q. Truong, Online tuning fuzzy PID controller using robust extended Kalman filter, Journal of Process Control, 19 (6) (2009) 1011–1023.

    Article  Google Scholar 

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Authors and Affiliations

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Correspondence to Kyoung Kwan Ahn.

Additional information

Recommended by Associate Editor Yang Shi

To Xuan Dinh received the B.S. degree from the Department of Mechanical Engineering, Le Quy Don Technical University, Hanoi, Vietnam, in 2013. He is currently studying Integrated Course at University of Ulsan. His research interests focus on intelligent control, nonlinear control, optimization algorithm, design and control of smart actuators/materials, drone control and application.

Nguyen Phi Luan received his B.S. from Ho Chi Minh City University of Technology, Viet Nam, in 2010, and Ph.D. from University of Ulsan, Korea, in 2014. From 2014 to 2016, he was a researcher at University of Ulsan. He is currently an assistant manager at TRobotics Co., Ltd. Korea. His research interests include robotics, vision based automated system, automated guided vehicle (AGV).

Kyoung Kwan Ahn received the B.S. degree from the Department of Mechanical Engineering, Seoul National University, Seoul, Korea, in 1990, the M.Sc. degree in mechanical engineering from the Korea Advanced Institute of Science and Technology (KAIST), Daejeon, Korea, in 1992, and the Ph.D. degree from the Tokyo Institute of Technology, Tokyo, Japan, in 1999. He is currently a Professor in the School of Mechanical Engineering, University of Ulsan, Ulsan, Korea. His research interests include design and control of smart actuators using smart materials, fluid power control, and active damping control. Prof. Ahn is a member of the American Society of Mechanical Engineers (ASME), Society of Instrument and Control Engineers (SICE), Robotics Society of Japan (RSJ), Japan Society of Mechanical Engineers (JSME), Korean Society of Mechanical Engineers (KSME), Korean Society of Precision Engineers (KSPE), Korean Society of Automotive Engineers (KSAE), Korea Fluid Power Systems Society (KFPS), and Japan Fluid Power System Society (JFPS).

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Dinh, T.X., Luan, N.P. & Ahn, K.K. A novel inverse modeling control for piezo positioning stage. J Mech Sci Technol 32, 5875–5888 (2018). https://doi.org/10.1007/s12206-018-1136-2

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  • DOI: https://doi.org/10.1007/s12206-018-1136-2

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