Skip to main content
Log in

Time delay control of hydraulic manipulators with continuous nonsingular terminal sliding mode

  • Published:
Journal of Central South University Aims and scope Submit manuscript

Abstract

For the position tracking control of hydraulic manipulators, a novel method of time delay control (TDC) with continuous nonsingular terminal sliding mode (CNTSM) was proposed in this work. Complex dynamics of the hydraulic manipulator is approximately canceled by time delay estimation (TDE), which means the proposed method is model-free and no prior knowledge of the dynamics is required. Moreover, the CNTSM term with a fast-TSM-type reaching law ensures fast convergence and high-precision tracking control performance under heavy lumped uncertainties. Despite its considerable robustness against lumped uncertainties, the proposed control scheme is continuous and chattering-free and no pressure sensors are required in practical applications. Theoretical analysis and experimental results show that faster and higher-precision position tracking performance is achieved compared with the traditional CNTSM-based TDC method using boundary layers.

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. PI Yang-jun, WANG Xuan-yin, GU Xi. Synchronous tracking control of 6-DOF hydraulic parallel manipulator using cascade control method [J]. Journal of Central South University of Technology, 2011, 18(5): 1554-1562.

    Article  Google Scholar 

  2. WANG X, SUN X, LI S, YE H. Finite time position tracking control of rigid hydraulic manipulators based on high order terminal sliding mode [J]. Proceedings of the Institution of Mechanical Engineers Part I¡ªJournal of Systems and Control Engineering, 2012, 226(3): 394-415.

    Article  Google Scholar 

  3. CHEN Qi-ping, SHU Hong-yu, FANG Wen-qiang, HE Lian-ge, YANG Mao-ju. Fluid structure interaction for circulation valve of hydraulic shock absorber [J]. Journal of Central South University, 2013, 20(3): 648-654.

    Article  Google Scholar 

  4. PI Yang-jun, Wang Xuan-yin. Trajectory tracking control of a 6-DOF hydraulic parallel robot manipulator with uncertain load disturbances [J]. Control Engineering Practice, 2011, 19(2): 185-193.

    Article  Google Scholar 

  5. MOHANTY A, YAO Bin. Integrated direct/indirect adaptive robust control of hydraulic manipulators with valve deadband [J]. IEEE/ASME Transactions on Mechatronics, 2011, 16(4): 707-715.

    Article  Google Scholar 

  6. COELHO L D S, CUNHA M A B. Adaptive cascade control of a hydraulic actuator with an adaptive dead-zone compensation and optimization based on evolutionary algorithms [J]. Expert Systems with Applications, 2011, 38(10): 12262-12269.

    Article  Google Scholar 

  7. LEE J, JIN Mao-lin, AHN K K. Precise tracking control of shape memory alloy actuator systems using hyperbolic tangential sliding mode control with time delay estimation [J]. Mechatronics, 2013, 23(3): 310-317.

    Article  Google Scholar 

  8. LEE L, YOO C, PARK Y S, PARK B, LEE S J, GWEON D G, CHANG P H. An experimental study on time delay control of actuation system of tilt rotor unmanned aerial vehicle [J]. Mechatronics, 2012, 22(2): 184-194.

    Article  Google Scholar 

  9. JIN Mao-lin, LEE J, AHN K K. Continuous nonsingular terminal sliding-mode control of shape memory alloy actuators using time delay estimation [J]. IEEE/ASME Transactions on Mechatronics, 2015, 20(2): 899-909.

    Article  Google Scholar 

  10. YU Shuang-he, YU Xing-huo, SHIRINZADEH B, MAN Zhi-long. Continuous finite-time control for robotic manipulators with terminal sliding mode [J]. Automatica, 2005, 41(11): 1957-1964.

    Article  MathSciNet  MATH  Google Scholar 

  11. JIN Mao-lin, LEE J, CHANG P H, CHOI C. Practical nonsingular terminal sliding-mode control of robot manipulators for high-accuracy tracking control [J]. IEEE Transactions on Industrial Electronics, 2009, 56(9): 3593-3601.

    Article  Google Scholar 

  12. CHANG P H, LEE S. A straight-line motion tracking control of hydraulic excavator system [J]. Mechatronics, 2002, 12(1): 119-138.

    Article  Google Scholar 

  13. LEE S, CHANG P H. Control of a heavy-duty robotic excavator using time delay control with integral sliding surface [J]. Control Engineering Practice, 2002, 10(7): 697-711.

    Article  Google Scholar 

  14. KUMAR R P, DASGUPTA A, KUMAR C S. Robust trajectory control of underwater vehicles using time delay control law [J]. Ocean Engineering, 2007, 34(5/6): 842-849.

    Article  Google Scholar 

  15. CHANG P H, PARK S H. On improving time-delay control under certain hard nonlinearities [J]. Mechatronics, 2003, 13(4): 393-412.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jia-wang Chen  (陈家旺).

Additional information

Foundation item: Project(51004085) supported by the National Natural Science Foundation of China

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, Yy., Chen, Jw., Gu, Ly. et al. Time delay control of hydraulic manipulators with continuous nonsingular terminal sliding mode. J. Cent. South Univ. 22, 4616–4624 (2015). https://doi.org/10.1007/s11771-015-3012-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11771-015-3012-x

Key words

Navigation