Fully Adaptive Feedforward Feedback Synchronized Tracking Control for Stewart Platform Systems

  • Zhao, Dongya (Institute of Automation, Shanghai Jiao Tong University) ;
  • Li, Shaoyuan (Institute of Automation, Shanghai Jiao Tong University) ;
  • Gao, Feng (School of Mechanical Engineering, Shanghai Jiao Tong University)
  • Published : 2008.10.31

Abstract

In this paper, a fully adaptive feedforward feedback synchronized tracking control approach is developed for precision tracking control of 6 degree of freedom (6DOF) Stewart Platform. The proposed controller is designed in decentralized form for implementation simplicity. Interconnections among different subsystems and gravity effect are eliminated by the feedforward control action. Feedback control action guarantees the stability of the system. The gains of the proposed controller can be updated on line without requiring any prior knowledge of Stewart Platform manipulator. Thus the control approach is claimed to be fully adaptive. By employing cross-coupling error technology, the proposed approach can guarantee both of position error and synchronization error converge to zero asymptotically. Because the actuators work in synchronous manner, the tracking performances are improved. The corresponding stability analysis is also presented in this paper. Finally, simulation is demonstrated to verify the effectiveness of the proposed approach.

Keywords

References

  1. J. P. Merlet, Parallel Robots, Kluwer Academic Publishers, Dordrecht, 2000
  2. B. Dasgupta and T. S. Mruthyunjaya, "The Stewart Platform manipulator: A review," Mechanism and Machine Theory, vol. 35, no. 1, pp. 15-40, 2000 https://doi.org/10.1016/S0094-114X(99)00006-3
  3. Y. Ting, Y.-S, Chen, and H.-C. Jar, "Modeling and control for a Gough-Stewart Platform CNC manchine," Journal of Robotic Systems, vol. 21, no. 11, pp. 609-623, 2004 https://doi.org/10.1002/rob.20039
  4. H. S. Kim, Y. M. Cho, and K. I. Lee, "Robust nonlinear task space control for 6DOF parallel manipulator," Automatica, vol. 41, no. 9, pp. 1591-1600, 2005 https://doi.org/10.1016/j.automatica.2005.04.014
  5. L. W. Tsai, ROBOT ANALYSIS the Mechanics of Serial and Parallel Manipulators, John Wiley, New York, 1999
  6. S. Fu, Y. Yao, and T. Shen, "Non-linear robust control with partial inverse dynamic compensation for a Stewart Platform manipulator," Modelling, Identification and Control, vol. 1, no. 1, pp. 44-51, 2006 https://doi.org/10.1504/IJMIC.2006.008647
  7. F. H. Ghorbel, O. Chetelat, R. Gunawardana, and R. Longchamp, "Modeling and set point control of close-chain mechanisms: Theory and experiment," IEEE Trans. on Control Systems Technology, vol. 8, no. 9, pp. 801-815, 2000 https://doi.org/10.1109/87.865853
  8. P. Chiacchio, F. Pierrot, L. Sciavicco, and B. Siciliano, "Robust design of independent joint controllers with experimentation on a high-speed parallel robot," IEEE Trans. on Industrial Electronics, vol. 40, no. 4, pp. 393-403, 1993 https://doi.org/10.1109/41.232228
  9. P. Begon, F. Pierrot, and P. Dauchez, "Fuzzy sliding mode control of a fast parallel robot," Proc. IEEE Int. Conf. Robotics and Automation, pp. 1178-1183, 1995
  10. C. Pernechele, F. Bortoletto, and E. Giro, "Neural network algorithm controlling a hexapod platform," Proc. IEEE Conf. Neural Networks, pp. 349-352, 2000
  11. E. D. Fasse and C. M. Gosselin, "Spatiogeometric impedance control of Gough-Stewart platforms," IEEE Trans. on Robotic and Automation, vol. 15, no. 2, pp. 281-288, 1999 https://doi.org/10.1109/70.760349
  12. M. R. Sirouspour and S. E. Salcudean, "Nonlinear control of hydraulic robots," IEEE Trans. on Robotic and Automation, vol. 17, no. 2, pp. 173-182, 2001 https://doi.org/10.1109/70.928562
  13. H. M. Lin and J. E. McInroy, "Adaptive sinusoidal disturbance cancellation for precise pointing of Stewart Platform," IEEE Trans. on Control Systems Technology, vol. 11, no. 2, pp. 267-272, 2003 https://doi.org/10.1109/TCST.2003.809248
  14. A. Rodriguez-Angeles and H. Nijmeijer, "Mutual synchronization of robots via estimated state feedback: A cooperative approach," IEEE Trans. on Control Systems Technology, vol. 12, no. 4, pp. 542-554, 2004 https://doi.org/10.1109/TCST.2004.825065
  15. H. Nijmeijer and A. Rodriguez-Angeles, Synchronization of Mechanical System, World Scientific, Singapore, 2003
  16. D. Sun and J. K. Mills, "Adaptive synchronized control for coordination of multirobot assembly tasks," IEEE Trans. on Robotics and Automation, vol. 18, no.4, pp. 498-509, 2002 https://doi.org/10.1109/TRA.2002.802229
  17. D. Sun, "Position synchronization of multiple motion axes with adaptive coupling control," Automatica, vol. 39, no. 6, pp. 997-1005, 2003 https://doi.org/10.1016/S0005-1098(03)00037-2
  18. Y. Koren, "Cross-coupled biaxial computer controls for manufacturing systems," ASME Journal of Dynamic Systems, Measurement and Control, vol. 102, no. 4, pp. 265-272, 1980 https://doi.org/10.1115/1.3149612
  19. P. K. Kulkarni and K. Srinivasan, "Crosscoupled control of biaxial feed drive servomechanisms," ASME Journal of Dynamic Systems, Measurement and Control, vol. 112, no. 2, pp. 225-232, 1990
  20. M. Tomizuka, J. S. Hu, and T. C. Chiu, "Synchronization of two motion control axes under adaptive feedforward control," ASME Journal of Dynamic Systems, Measurement and Control, vol. 114, no. 6, pp. 196-203, 1992 https://doi.org/10.1115/1.2896515
  21. L. Feng, Y. Koren, and J. Borenstein, "Crosscoupling motion controller for mobile robots," IEEE Control Systems Magazine, vol. 13, no. 6, pp. 35-43, 1993 https://doi.org/10.1109/37.248002
  22. Y. Su, D. Sun, L. Ren, and J. K. Mills, "Integration of saturated PI synchronous control and PD feedback for control of parallel manipulators," IEEE Trans. on Robotics, vol. 22, no. 1, pp. 202-207, 2006 https://doi.org/10.1109/TRO.2005.858852
  23. D. Sun, L. Ren, J. K. Mills, and C. Wang, "Synchronous tracking control of parallel manipulators using cross-coupling approach," International Journal of Robotics Research, vol. 25, no. 11, pp. 1137-1147, 2006 https://doi.org/10.1177/0278364906072037
  24. L. Ren, J. K. Mills, and D. Sun, "Adaptive synchronized control of a planar parallel manipulator: Theory and experiments," ASME Journal of Dynamic Systems, Measurement and Control, vol. 128, no. 4, pp. 976-979, 2006 https://doi.org/10.1115/1.2363200
  25. L. Ren, J. K. Mills, and D. Sun, "Convex synchronized control for a 3-DOF planar parallel manipulator," Proc. of the IEEE International Conference on Robotics and Automation, pp. 1129-1134, Orlando, Florida, May 2006
  26. S.-H. Hsu and L.-C. Fu, "A fully adaptive decentralized control of robot manipulators," Automatica, vol. 42, no. 10, pp. 1761-1767, 2006 https://doi.org/10.1016/j.automatica.2006.05.012
  27. J. Angeles, Fundamentals of Robotic Mechanical Systems, Theory, Methods, and Algorithms, 2nd edition, Springer-Verlag, New York, 2003
  28. J. J. Slotine and W. Li, Applied Nonlinear Control, Prentice Hall, New Jersey, 1991