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A modular designed bolt tightening shaft based on adaptive fuzzy backstepping control

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  • Control Theory and Applications
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Abstract

This paper presents a modular designed autonomous bolt tightening shaft system with an adaptive fuzzy backstepping control approach developed for it. The bolt tightening shaft is designed for the autonomous bolt tightening operation, which has huge potential for industry application. Due to the inherent nonlinear and uncertain properties, the bolt tightening shaft and the bolt tightening process are mathematically modeled as an uncertain strict feedback system. With the adaptive backstepping and approximation property of fuzzy logic system, the controller is recursively designed. Based on the Lyapunov stability theorem, all signals in the closed-loop system are proved to be uniformly ultimately bounded and the torque tracking error exponentially converges to a small residue. And the effectiveness and performance of the proposed autonomous system are verified by the simulation and experiment results on the bolt tightening shaft system.

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References

  1. T. Fujinka, H. Nakano, and S. Omatu, “Bolt tightening control using neural networks,” Proc. of IEEE International Conference on Systems, Man, and Cybernetics, vol. 3, pp. 1390–1395, 2001. [click]

    Article  Google Scholar 

  2. C. M. Wolf and R. D. Lorenz, “Using the motor drive as a sensor to extract spatially dependent information for motion control applications,” IEEE Transactions on Industry Applications, vol. 47, no. 3, pp. 1344–1351, 2011. [click]

    Article  Google Scholar 

  3. S. Izumi, T. Yokoyama, A. Iwasaki, and S. Sakai, “Threedimensional finite element analysis of tightening and loosing mechanism of threaded fastener,” Engineering Failure Analysis, vol. 12, no. 4, pp. 604–615, 2005. [click]

    Article  Google Scholar 

  4. Y. Fan, C. Guo, and W. Meng, “Study of distributed multiaxial intelligent tightening machine based on fieldbus control system,” Proc. of International Conference on Intelligent Control and Information Processing (ICICIP), pp. 415–419, 2010. [click]

    Google Scholar 

  5. F. Merrikh-Bayat, N. Mirebrahimi, and M. R. Khalili, “Discrete-time fractional-order pid controller: Definition, tuning, digital realization and some applications,” International Journal of Control, Automation, and Systems, vol. 13, no. 1, pp. 81–90, 2015. [click]

    Article  Google Scholar 

  6. J. L. Chang, “Discrete-time pid observer design for state and unknown input estimations in noisy measurements,” International Journal of Control, Automation, and Systems, vol. 13, no. 4, pp. 816–822, 2015. [click]

    Article  Google Scholar 

  7. C. Deters, H. K. Lam, E. L. Secco, H. A. Wurdemann, L. D. Seneviratne, and K. Althoefer, “Accurate bolt tightening using model-free fuzzy control for wind turbine hub bearing assembly,” IEEE Transactions on Control Systems Technology, vol. 23, no. 1, pp. 112, 2015. [click]

    Article  Google Scholar 

  8. B. S. Kim and S. J. Yoo, “Approximation-based adaptive tracking control of nonlinear pure-feedback systems with time-varying output constraints,” International Journal of Control, Automation, and Systems, vol. 13, no. 2, pp. 257–265, 2015.

    Article  Google Scholar 

  9. C. Y. Wang and X. H. Jiao, “Observer-based adaptive arbitrary switching fuzzy tracking control for a class of switched nonlinear systems,” International Journal of Control, Automation, and Systems, vol. 13, no. 4, pp. 823–830, 2015. [click]

    Article  Google Scholar 

  10. S. S. Ge, C. C. Hang, and T. Zhang, “A direct adaptive controller for dynamic systems with a class of nonlinear parameterizations,” Automatica, vol. 35, no. 4, pp. 741–747, 1999. [click]

    Article  MathSciNet  MATH  Google Scholar 

  11. S. S. Ge, C. C. Hang, T. H. Lee, and T. Zhang, Stable Adaptive Neural Network Control, Kluwer Academic Publisher, Boston, 2002.

    Book  Google Scholar 

  12. Y. Q. Fan, Y. H. Wang, Y. Zhang, and Q. R. Wang, “Adaptive fuzzy control with compressors and limiters for a class of uncertain nonlinear systems,” Proc. of International Journal of Control, Automation, and Systems, vol. 11, no. 3, pp. 624–629, 2014.

    Article  Google Scholar 

  13. G. R. R. Lamooki, “Recursive partial stabilization: Backstepping and generalized strict feedback form,” International Journal of Control, Automation, and Systems, vol. 11, no. 2, pp. 250–257, 2014.

    Article  Google Scholar 

  14. M. Krstic, I. Kanellakopoulos, and P. V. Kokotovic, Nonlinear and Adaptive Control, Wiley and Sons, New York, 1995.

    Google Scholar 

  15. D. Won and W. Kim, “Disturbance observer based backstepping for position control of electro-hydraulic systems,” International Journal of Control, Automation, and Systems, vol. 13, no. 2, pp. 488–493, 2015.

    Article  Google Scholar 

  16. S. C. Tong, Y. M. Li, G. Feng, and T. S. Li, “Observerbased adaptive fuzzy backstepping dynamic surface control for a class of MIMO nonlinear systems,” IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics, vol. 41, no. 4, pp. 1124–1135, 2011. [click]

    Article  Google Scholar 

  17. Q. H. Ngo, N. P. Nguyen, N. N. Chi, T. H. Tran, and K. S. Hong, “Fuzzy sliding mode control of container cranes,” International Journal of Control, Automation, and Systems, vol. 13, no. 2, pp. 419–425, 2015.

    Article  Google Scholar 

  18. S. S. Ge, T. H. Lee, and C. J. Harris, Adaptive Neural Network Control of Robotic Manipulators, World Scientific, River Edge, NJ, 1998.

    Book  Google Scholar 

  19. C. Deters, E. L. Secco, H. A. Wuerdemann, H. K. Lam, L. D. Seneviratne, and K. Althoefer, “Model-free fuzzy tightening control for bolt/nut joint connections of wind turbine hubs,” Proc. of IEEE International Conference on Robotics and Automation (ICRA), pp. 270–276, 2013. [click]

    Google Scholar 

  20. Y. Maruki, K. Kawano, H. Suemitsu, and T. Matsuo, “Adaptive backstepping control of wheeled inverted pendulum with velocity estimator,” International Journal of Control, Automation, and Systems, vol. 12, pp. 1040–1048, 2014. [click]

    Article  Google Scholar 

  21. W. He, S. Zhang, and S. S. Ge, “Robust adaptive control of a thruster assisted position mooring system,” Automatica, vol. 50, no. 7, pp. 1843–1851, 2014. [click]

    Article  MathSciNet  MATH  Google Scholar 

  22. W. He, S. Zhang, and S. S. Ge, “Adaptive control of a flexible crane system with the boundary output constraint,” IEEE Transactions on Industrial Electronics, vol. 61, no. 8, pp. 4126–4133, 2014. [click]

    Article  Google Scholar 

  23. W. He and S. S. Ge, “Vibration control of a flexible beam with output constraint,” IEEE Transactions on Industrial Electronics, vol. 62, no. 8, pp. 5023–5030, 2015. [click]

    Article  Google Scholar 

  24. X. Zhang, X. Wang, and Y. Luo, “An improved torque method for preload control in precision assembly of miniature bolt joints,” Strojniski Vestnik, vol. 58, no. 10, pp. 578–586, 2012.

    Article  Google Scholar 

  25. B. Housari, A. Alkelani, and G. Yocum, “Development of tightening specification for post yield angle control tightening strategy,” Proc. of ASME 2012 Pressure Vessels and Piping Conference, pp. 123–129, 2012. [click]

    Google Scholar 

  26. F. Esmaeili, M. Zehsaz, and T. N. Chakherlou, “Investigation the effect of tightening torque on the fatigue strength of double lap simple bolted and hybrid (bolted-bonded) joints using volumetric method,” Materials & Design, vol. 63, pp. 349–359, 2014. [click]

    Article  Google Scholar 

  27. L. Wang, “Stable adaptive fuzzy control of nonlinear systems,” Proceedings of the 31st IEEE Conference on Decision and Control, 1992.

    Google Scholar 

  28. Y. Li, S. Tong, T. Li, and X. Jing, “Adaptive fuzzy control of uncertain stochastic nonlinear systems with unknown dead zone using small-gain approach,” Fuzzy Sets & Systems, vol. 235, no. 1, pp. 124, 2014.

    MathSciNet  MATH  Google Scholar 

  29. S. Tong, T. Wang, Y. Li, and B. Chen, “A combined backstepping and stochastic small-gain approach to robust adaptive fuzzy output feedback control,” IEEE Transactions on Fuzzy Systems, vol. 21, no. 2, pp. 314–327, 2013. [click]

    Article  Google Scholar 

  30. H. Wang, B. Lin, and C. Chen, “Adaptive fuzzy control for pure-feedback stochastic nonlinear systems with unknown dead-zone input,” International Journal of Systems Science, vol. 45, no. 12, pp. 2552–2564, 2014. [click]

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to Sibang Liu.

Additional information

Recommended by Associate Editor Pinhas Ben-Tzvi under the direction of Editor Euntai Kim.

Sibang Liu received the B.E. and M.E. degrees from the Hefei University of Technology, Hefei, China, in 2005 and 2010, respectively. He is currently pursuing the Ph.D. degree with the Center for Robotics, School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, China. His current research interests include robotic intelligence and adaptive systems.

Shuzhi Sam Ge received the B.Sc. degree from Beijing University of Aeronautics andAstronautics, Beijing, China, in 1986, and the Ph.D. degree from Imperial College, London, U.K., in 1993. He is the Founding Director with the Social Robotics Laboratory of Interactive Digital Media Institute, a Professor with the Department of Electrical and Computer Engineering, the National University of Singapore, Singapore, and Director of Center for Robotics, University of Electronic Science and Technology of China, Chengdu, China. He has authored or coauthored five books and over 300 international journal and conference papers. He is the Editor-in-Chief of the International Journal of Social Robotics. He has served/been serving as an Associate Editor for a number of flagship journals. His current research interests include robotics and intelligent systems. Dr. Ge is a Fellow of Institute of Electrical and Electronics Engineers (IEEE), International Federation of Automatic Control (IFAC) and The Institution of Engineering and Technology (IET), U.K.

Zhongliang Tang received the B.Eng degree in automatic control from the University of Electronic Science and Technology of China, Chengdu, China in 2011. He is currently pursuing the Ph.D. degree with the School of Computer Science and Engineering in the same university. His current research interests include the constrained nonlinear systems, intelligent robotic systems and artificial intelligence.

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Liu, S., Ge, S.S. & Tang, Z. A modular designed bolt tightening shaft based on adaptive fuzzy backstepping control. Int. J. Control Autom. Syst. 14, 924–938 (2016). https://doi.org/10.1007/s12555-015-0008-0

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  • DOI: https://doi.org/10.1007/s12555-015-0008-0

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