Skip to main content
Log in

Finite-time sliding mode joint positioning error constraint control for robot manipulator in the presence of unknown deadzone

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

This paper proposes two tracking error constraint finite-time sliding mode control schemes for unknown manipulator parameters with deadzone input nonlinearity. A transformed filtered tracking error surface was first constructed as a separated form to guarantee the predefined tracking performance. Next, a simple transformed prescribed error surface was considered to obtain the same predefined tracking performance. Both proposed controls adopt Finite-time sliding mode control (FSMC) with a non-model-based manipulator feedforward method to achieve rapid error convergence and fast control design. Unlike conventional controls with deazone compensation, the proposed controls are robust to deadzone nonlinearity without adding extra compensators. The effectiveness of the proposed scheme was proven by simulation and experimental evaluations for an articulated manipulator system with unknown deadzone and friction.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. S. Kalpakjian and S. R. Schmid, Manufacturing processes for engineering materials, Second Ed., Addison-Wesley Publishing Company, New York, USA (1992).

    Google Scholar 

  2. J. J. Craig, P. Hsu and S. S. Sastry, Adaptive control of mechanical manipulators, Inter. J. of Robotics Research, 6 (2) (1987) 16–28.

    Article  Google Scholar 

  3. J. J. E. Slotine and W. Li, On the adaptive control of robot manipulator, Inter. J. of Robotics Research, 6 (3) (1987) 49–59.

    Article  Google Scholar 

  4. J. J. E. Slotine and W. Li, Composite adaptive control of robot manipulator, Automatica, 25 (1989) 509–519.

    Article  MathSciNet  MATH  Google Scholar 

  5. R. Johansson, Adaptive control of robot manipulator motion, IEEE Trans. Robotics and Auto., 6 (4) (1990) 483–490.

    Article  Google Scholar 

  6. B. K. Yoo and W. C. Ham, Adaptive control of robot manipulator using fuzzy compensator, IEEE Trans. Fuzzy Sys., 8 (2) (2000) 186–199.

    Article  Google Scholar 

  7. E. Kim, Output feedback tracking control of robot manipulators with model uncertainty via adaptive fuzzy logic, IEEE Trans. Indust. Electr., 12 (3) (2004) 368–378.

    MathSciNet  Google Scholar 

  8. F. Sun, Z. Sun and P. Y. Woo, Neural network-based adaptive controller design of robotic manipulators with an observer, IEEE Trans. Neural Net., 12 (1) (2001) 54–67.

    Article  MathSciNet  Google Scholar 

  9. S. Lin and A. A. Golgenberg, Neural-network control of mobile manipulator, IEEE Trans. Neural Net., 12 (5) (2001) 1121–1133.

    Article  Google Scholar 

  10. J. J. E. Slotine and W. Li, Applied nonlinear control, Prentice Hall, New Jersey (1991).

    MATH  Google Scholar 

  11. V. J. Ukin, J. Guldner and J. Shi, Sliding mode control in Electro-mechanical systems, 2nd Edition, CRC Press, New York (2009).

    Book  Google Scholar 

  12. A. Ebrahimi, Regulated model-based and non-model-based sliding mode control of a MEMS vibratory gyroscope, J. Mechanical Science and Tech., 28 (6) (2014) 2343–2349.

    Article  MathSciNet  Google Scholar 

  13. J. Aslam, S. Y. Qin and M. A. Alvi, Fuzzy sliding mode control algorithm for a four-wheel skid steer vehicle, J. Mechanical Science and Tech., 28 (8) (2014) 3301–3310.

    Article  Google Scholar 

  14. J. H. Lee, Y. W. Yun, H. W. Hong and M. K. Park, Control of spool position of on/off solenoid operated hydraulic valve by sliding mode controller, J. Mechanical Science and Tech., 29 (12) (2015) 5395–5408.

    Article  Google Scholar 

  15. L. W. Lee and I. H. Li, Design and implementation of a robust FNN-based adaptive sliding mode controller for pneumatic actuator systems, J. Mechanical Science and Tech., 30 (1) (2016) 381–396.

    Article  Google Scholar 

  16. F. L. Lewis, W. K. Tim, L. Z. Wang and Z. X. Li, Deadzone compensation in motion control systems using adaptive fuzzy control, IEEE Trans. Control Sys. and Tech., 7 (6) (1999) 731–742.

    Article  Google Scholar 

  17. C. Hu, B. Yao and Q. Wang, Performance-oriented adaptive robust control of a class of nonlinear systems preceded by unknown dead zone with comparative experimental results, IEEE/ASME Trans. Mechatronics, 18 (1) (2013) 178–189.

    Article  Google Scholar 

  18. C. Hu, B. Yao and Q. Wang, Adaptive robust precision motion control of systems with unknown input dead-zones: A case study with comparative experiments, IEEE Trans. Industrial Elect., 58 (6) (2011) 2454–2464.

    Article  Google Scholar 

  19. Y. Feng, X. Yu and Z. Man, Non-singular terminal sliding mode control of rigid manipulator, Automatica, 38 (12) (2002) 2159–2167.

    Article  MathSciNet  MATH  Google Scholar 

  20. S. Yu, X. Yu, B. Shirinzadeh and Z. Man, Continuous finite-time control for robotic manipulators with terminal sliding mode, Automatica, 41 (11) (2005) 1957–1964.

    Article  MathSciNet  MATH  Google Scholar 

  21. D. Zhao, S. Li and Q. Zhu, Output feedback terminal sliding mode control for a class of second order nonlinear systems, Asian J. Control, 15 (1) (2013) 237–247.

    Article  MathSciNet  MATH  Google Scholar 

  22. C. P. Benchlioulis and G. A. Rovithakis, Robust adaptive control of feedback linearizable MIMO nonlinear systems with prescribed performance, IEEE Trans. A. C., 53 (9) (2008) 2090–2099.

    Article  MathSciNet  MATH  Google Scholar 

  23. C. P. Benchlioulis and G. A. Rovithakis, Adaptive control with guaranteed transient and steady state tracking error bounds for strict feedback systems, Automatica, 45 (2009) 532–538.

    Article  MathSciNet  MATH  Google Scholar 

  24. W. Wang and C. Wen, Adaptive actuator failure compensation control of uncertain nonlinear systems with guaranteed transient performance, Automatica, 46 (2010) 2082–2091.

    Article  MathSciNet  MATH  Google Scholar 

  25. J. Na, Q. Chen, X. Ren and Y. Guo, Adaptive prescribed performance motion control of servo mechanisms with friction compensation, IEEE Trans. Indust. Electr., 61 (1) (2014) 486–494.

    Article  Google Scholar 

  26. A. Theodorakopoulos and G. A. Rovithakis, Prescribed performance control of strict feedback systems with deadzone input nonlinearity, 52nd IEEE Confer. On Decision and Control (2013) 1774–1779.

    Chapter  Google Scholar 

  27. A. Theodorakopoulos and G. A. Rovithakis, Guaranteeing preselected tracking quality for uncertain strict-feedback with deadzone input nonlinearity and disturbance via lowcomplexity control, Automatica, 54 (2015) 135–145.

    Article  MathSciNet  MATH  Google Scholar 

  28. Z. P. Wang, S. S. Ge and T. H. Lee, Robust motion/force control of uncertain holonomic/nonholonomic mechanical systems, IEEE Trans. Mechatronics, 9 (1) (2004) 118–123.

    Article  Google Scholar 

  29. S. I. Han and J. Lee, Partial tracking error constrained fuzzy dynamic surface control for a strict feedback nonlinear dynamic system, IEEE Trans. Fuzzy Sys., 22 (5) (2014) 1049–1061.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Seong Ik Han.

Additional information

Recommended by Associate Editor Sangyoon Lee

Yeontaek Oh received his Ph.D. from University of Manchester in 1997. He is a Professor in School of Mechanical Engineering, Tongmyong University. His research interests include metrology, precision Engineering & robotics.

Seongik Han received his B.S. and M.S. degrees in Mechanical Engineering from Pusan National University, Korea, in 1987 and 1989, respectively, and the Ph.D. in Mechanical Design Engineering from Pusan National University in 1995. From 1995 to 2009, he was an Associate Professor of Electrical Automation of Suncheon First College, Korea. Now he is with the School of Mechanical Engineering, Pusan National University, Korea. His research interests include intelligent control, nonlinear control, robotic control, hydraulic servo system control, vehicle system control and steel process control.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Oh, Y.T., Han, S.I. Finite-time sliding mode joint positioning error constraint control for robot manipulator in the presence of unknown deadzone. J Mech Sci Technol 32, 875–884 (2018). https://doi.org/10.1007/s12206-018-0138-9

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-018-0138-9

Keywords

Navigation