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Tracking Error Constrained Terminal Sliding Mode Control for Ball-Screw Driven Motion Systems with State Observer

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Abstract

In this study, a predefined performance constrained nonsingular sliding mode control is proposed, in which the assumed feedforward dynamic method and super-twisting state observer are combined to compensate unknown dynamics and estimate unmeasured velocity signal in the ball-screw driven servo system. Based on nonsingular sliding mode control, a new and higher convenient tracking error constraint method has been developed over the conventional complex constraint method. Next, a super-twisting state observer to exhibit higher estimation performance than the high-gain state observer is also considered. The finite convergence time is derived from the Lyapunov stability condition. Simulation and experiment results for the XY table system are presented to demonstrate the outstanding control performance of the proposed control scheme.

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References

  1. Chen, J. and Dwang, I., “A Ballscrew Drive Mechanism with Piezo-Electric Nut for Preload and Motion Control,” International Journal of Machine Tools and Manufacture, Vol. 40, No. 4, pp. 513–526, 2000.

    Article  Google Scholar 

  2. Chen, J.-S., Huang, Y.-K., and Cheng, C.-C., “Mechanical Model and Contouring Analysis of High-Speed Ball-Screw Drive Systems with Compliance Effect,” The International Journal of Advanced Manufacturing Technology, Vol. 24, No. 3-4, pp. 241–250, 2004.

    Article  Google Scholar 

  3. Zhao, D., Li, S., and Gao, F., “A New Terminal Sliding Mode Control for Robotic Manipulators,” International Journal of Control, Vol. 82, No. 10, pp. 1804–1813, 2009.

    Article  MathSciNet  MATH  Google Scholar 

  4. Slotine, J.-J. E. and Li, W., “Applied Nonlinear Control,” Prentice hall Englewood Cliffs, NJ, 1991.

    MATH  Google Scholar 

  5. Utkin, V., Guldner, J., and Shi, J., “Sliding Mode Control in Electro-Mechanical Systems,” CRC Press, 2nd Ed., 2009.

    Book  Google Scholar 

  6. Wu, Y., Yu, X., and Man, Z., “Terminal Sliding Mode Control Design for Uncertain Dynamic Systems,” Systems & Control Letters, Vol. 34, No. 5, pp. 281–287, 1998.

    Article  MathSciNet  MATH  Google Scholar 

  7. Fei, J., Yan, W., and Yang, Y., “Adaptive Nonsingular Terminal Sliding Mode Control of Mems Gyroscope Based on Backstep** Design,” International Journal of Adaptive Control and Signal Processing, Vol. 29, No. 9, pp. 1099–1115, 2015.

    Article  MathSciNet  MATH  Google Scholar 

  8. Zheng, J., Wang, H., Man, Z., **, J., and Fu, M., “Robust Motion Control of a Linear Motor Positioner Using Fast Nonsingular Terminal Sliding Mode,” IEEE/ASME Transactions on Mechatronics, Vol. 20, No. 4, pp. 1743–1752, 2015.

    Article  Google Scholar 

  9. Nojavanzadeh, D. and Badamchizadeh, M., “Adaptive Fractional-Order Non-Singular Fast Terminal Sliding Mode Control for Robot Manipulators,” IET Control Theory and Appications, Vol. 10 No. 13, pp. 1565–1572, 2016.

    Article  MathSciNet  Google Scholar 

  10. Bechlioulis, C. P. and Rovithakis, G. A., “Robust Adaptive Control of Feedback Linearizable Mimo Nonlinear Systems with Prescribed Performance,” IEEE Transactions on Automatic Control, Vol. 53, No. 9, pp. 2090–2099, 2008.

    Article  MathSciNet  MATH  Google Scholar 

  11. Bechlioulis, C. P. and Rovithakis, G. A., “Adaptive Control with Guaranteed Transient and Steady State Tracking Error Bounds for Strict Feedback Systems,” Automatica, Vol. 45, No. 2, pp. 532–538, 2009.

    Article  MathSciNet  MATH  Google Scholar 

  12. Wang, W. and Wen, C., “Adaptive Actuator Failure Compensation Control of Uncertain Nonlinear Systems with Guaranteed Transient Performance,” Automatica, Vol. 46, No. 12, pp. 2082–2091, 2010.

    Article  MathSciNet  MATH  Google Scholar 

  13. Na, J., Chen, Q., Ren, X., and Guo, Y., “Adaptive Prescribed Performance Motion Control of Servo Mechanisms with Friction Compensation,” IEEE Transactions on Industrial Electronics, Vol. 61, No. 1, pp. 486–494, 2014.

    Article  Google Scholar 

  14. Lee, K. W. and Khalil, H. K., “Adaptive Output Feedback Control of Robot Manipulators Using High-Gain Observer,” International Journal of Control, Vol. 67, No. 6, pp. 869–886, 1997.

    Article  MathSciNet  MATH  Google Scholar 

  15. Wang, C.-H., Liu, H.-L., and Lin, T.-C., “Direct Adaptive Fuzzy-Neural Control with State Observer and Supervisory Controller for Unknown Nonlinear Dynamical Systems,” IEEE Transactions on Fuzzy Systems, Vol. 10, No. 1, pp. 39–49, 2002.

    Article  Google Scholar 

  16. Davila, J., Fridman, L., and Levant, A., “Second-Order Sliding-Mode Observer for Mechanical Systems,” IEEE Transactions on Automatic Control, Vol. 50, No. 11, pp. 1785–1789, 2005.

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Division of Robotics Convergence, Pusan National University, 63Beongil 2 Jangjeon-doong, Geumjeong-gu, Busan, 46241, Republic of Korea

    Soo-Chang Park

  2. Department of Electronic Engineering, Pusan National University, 63Beongil 2 Jangjeon-doong, Geumjeong-gu, Busan, 46241, Republic of Korea

    Jang-Myung Lee

  3. Department of Mechanical System Engineering, Dongguk University Gyeongju, 123, Dongdae-ro, Gyeongju-si, Gyeongsangbuk-do, 38066, Republic of Korea

    Seong-Ik Han

Authors
  1. Soo-Chang Park
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  2. Jang-Myung Lee
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Correspondence to Seong-Ik Han.

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Park, SC., Lee, JM. & Han, SI. Tracking Error Constrained Terminal Sliding Mode Control for Ball-Screw Driven Motion Systems with State Observer. Int. J. Precis. Eng. Manuf. 19, 359–366 (2018). https://doi.org/10.1007/s12541-018-0043-x

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  • DOI: https://doi.org/10.1007/s12541-018-0043-x

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