Skip to main content
Log in

Adaptive robust output force tracking control of pneumatic cylinder while maximizing/minimizing its stiffness

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

Abstract

The system considered in this work consists of a cylinder which is controlled by a pair of three-way servo valves rather than a four-way one. Therefore, the cylinder output stiffness is independently controllable of the output force. A discontinuous projection based adaptive robust controller (ARC) was constructed to achieve high-accuracy output force trajectory tracking for the system. In ARC, on-line parameter adaptation method was adopted to reduce the extent of parametric uncertainties due to the variation of friction parameters, and sliding mode control method was utilized to attenuate the effects of parameter estimation errors, unmodelled dynamics and disturbance. Furthermore, output stiffness maximization/minimization was introduced to fulfill the requirement of many robotic applications. Extensive experimental results were presented to illustrate the effectiveness and the achievable performance of the proposed scheme. For tracking a 0.5 Hz sinusoidal trajectory, maximum tracking error is 4.1 N and average tracking error is 2.2 N. Meanwhile, the output stiffness can be made and maintained near its maximum/minimum.

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. BOBROW J E, McDONELL B W. Modeling, identification, and control of a pneumatically actuated, force controllable robot [J]. IEEE Transaction on Robotics and Automation, 1998, 14(5): 732–742.

    Article  Google Scholar 

  2. TAGHIZADEH M, NAJAFI F, GHAFFARI A. Multimodel PD-control of a pneumatic actuator under variable load [J]. International Journal of Advanced Manufacturing Technology, 2010, 48(5/8): 655–662.

    Article  Google Scholar 

  3. WOLBRECHT E T, REINKENSMEYER D J, BOBROW J E. Pneumatic control of robots for rehabilitation [J]. The International Journal of Robotics Research, 2010, 29(1): 23–28.

    Article  Google Scholar 

  4. BEN-DOV D, SALCUDEAN S. A force controlled pneumatic actuator [J]. IEEE Transaction on Robotics and Automation, 1995, 11(6): 906–911.

    Article  Google Scholar 

  5. RICHER E, HURMUZLU Y. A high performance pneumatic force actuator system, part 1-nonlinear mathematical model [J]. Journal of Dynamic Systems, Measurement, Control, 2000, 122(3): 416–425.

    Article  Google Scholar 

  6. RICHER E, HURMUZLU Y. A high performance pneumatic force actuator system, Part 2: Nonlinear controller design [J]. Journal of Dynamic Systems, Measurement, Control, 2000, 122(4): 426–434.

    Article  Google Scholar 

  7. ZHU Y, BARTH E. Impedance control of a pneumatic actuator for contact tasks [C]// Proc of the IEEE International Conference on Robotics and Automation. Barcelona, Spain: IEEE, 2005: 987–992.

    Google Scholar 

  8. KHAYATI K, BIGRAS P, DESSAINT L A. Force control loop affected by bounded uncertainties and unbounded inputs for pneumatic actuator systems [J]. Journal of Dynamic Systems, Measurement, Control, 2008, 130(1): 0110071–01100719.

    Google Scholar 

  9. KAITWANIDVILAI S, PARNICHKUN M. Force control in a pneumatic system using hybrid adaptive neuro-fuzzy model reference control [J]. Mechatronics, 2004, 15(1): 23–41.

    Article  Google Scholar 

  10. SHEN X, GOLDFARB M. Simultaneous force and stiffness control of a pneumatic actuator [J]. Journal of Dynamic Systems, Measurement, Control, 2007, 129(4): 425–434.

    Article  Google Scholar 

  11. YAO B. High performance adaptive robust control of nonlinear systems: A general framework and new schemes [C]// Proc of the 36th Conference on Decision and Control. San Diego, USA: IEEE Press, 1997: 2489–2494.

    Google Scholar 

  12. YAO B, TOMIZUKA M. Adaptive robust control of SISO nonlinear systems in semi-strict feedback form [J]. Automatica, 1997, 33(5): 893–890.

    Article  MathSciNet  MATH  Google Scholar 

  13. YAO B, BU F, REEDY J, CHIU G. Adaptive robust motion control of single-rod hydraulic actuators: Theory and experiments [J]. IEEE/ASME Transactions on Mechatronics, 2000, 5(1): 79–91.

    Article  Google Scholar 

  14. XU L, YAO B. Adaptive robust precision motion control of linear motors with negligible electrical dynamics: Theory and experiments. IEEE/ASME Transactions on Mechatronics, 2001, 6(4): 444–452.

    Article  Google Scholar 

  15. ZHU Xiao-cong, TAO Guo-liang, YAO B, CAO Jian. Adaptive robust posture control of a parallel manipulator driven by pneumatic muscles [J]. Automatica, 2008, 44(9): 2248–2257.

    Article  MathSciNet  MATH  Google Scholar 

  16. MENG De-yuan, TAO Guo-liang, CHEN Jian-feng, BAN Wei. Modeling of a pneumatic system for high-accuracy position control [C]//International Conference on Fluid Power and Mechatronics, Beijing, China: IEEE Press, 2011: 505–510.

    Chapter  Google Scholar 

  17. ARMSTRONG B, DUPONT P, CANUDAS C. A survey of models, analysis tools and compensation methods for the control of machines with friction [J]. Automatica, 1994, 30(7): 1083–1138.

    Article  MATH  Google Scholar 

  18. CANUDAS C, LISCHINSKY P. Adaptive friction compensation with partially known dynamic friction model [J]. International Journal of Adaptive Control and Signal Processing, 1997, 11(1): 65–80.

    Article  MathSciNet  MATH  Google Scholar 

  19. SALEEM A, ABDRABBO S, TUTUNJI T. On-line identification and control of pneumatic servo drives via a mixed-reality environment [J]. International Journal of Advanced Manufacturing Technology, 2009, 40(5/6): 518–530.

    Article  Google Scholar 

  20. CAMEIRO J, ALMEIDA F. Heat transfer evaluation on industrial pneumatic cylinders [J]. Journal of Systems and Control Engineering, 2007, 221(1): 119–128.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Guo-liang Tao  (陶国良).

Additional information

Foundation item: Projects(50775200, 50905156) supported by the National Natural Science Foundation of China

Rights and permissions

Reprints and permissions

About this article

Cite this article

Meng, Dy., Tao, Gl., Ban, W. et al. Adaptive robust output force tracking control of pneumatic cylinder while maximizing/minimizing its stiffness. J. Cent. South Univ. 20, 1510–1518 (2013). https://doi.org/10.1007/s11771-013-1642-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11771-013-1642-4

Key words

Navigation