Independent Joint Adaptive Control of Robot Manipulator Using the Sugeno-type of Fuzzy Logic

Sugeno형태 퍼지 논리를 이용한 로봇 매니플레이터의 독립관절 적응제어

  • 김영태 (동국대학교 전기공학과)
  • Published : 2003.06.01

Abstract

Control of multi-link robot arms is a challenging and difficult problem because of the highly nonlinear dynamics. Independent joint adaptive scheme is developed for control of robot manipulators based on Sugeno-type of fuzzy logic. Fuzzy logic system is used to approximate the coupling forces among the joints, coriolis force, centrifugal force, gravitational force, and frictional forces. The proposed scheme does not require an accurate manipulator dynamic, and it is proved that closed-loop system is asymptotic stable despite the gross robot parameter variations. Numerical simulations for three-axis PUMA robot are included to show the effectiveness of controller.

Keywords

References

  1. Ozguner, U. and Hemami, H., 'Decentralized Control of Interconnection Physical System,' Int. J. Control, Vol. 41, pp. 1445-1459, 1985 https://doi.org/10.1080/0020718508961208
  2. Gavel, D. T. and Hsia, T. C. 'Decentralized Adaptive Control of Robot Manipulator,' Proc. IEEE Int. Conf on Robotics and Automation, pp. 1230-1235, 1987 https://doi.org/10.1109/ROBOT.1987.1087761
  3. Choi, Y. K. and Bien, Z., 'Decentralized Adaptive Control Scheme for Control of a Multi-Arm-type Robot,' Int. J. Control, Vol. 48, pp. 1715-1722, 1988 https://doi.org/10.1080/00207178808906275
  4. Vukovratovic, M. and Kircanski, N., 'Decoupled Control of Robots via Asymptotic Regulators,' IEEE Trans. Automatic Control AC-28, 1983 https://doi.org/10.1109/TAC.1983.1103147
  5. Oh, B. J., Jamshidi, M. and Seraji, H., 'Decentralized Adaptive Control,' Proc. IEEE. Int. Conf. On Robotics and Automation, pp. 1016-1021, 1988 https://doi.org/10.1109/ROBOT.1988.12194
  6. Seraji, H., 'Decentralized Adaptive Control of Manipulators : Theory, Simulation, and Experimentation,' IEEE. Trans. Robotics and Automation 5, pp. 183-201, 1989 https://doi.org/10.1109/70.88039
  7. Jamshidi, M., Seraji, H. and Kim, Y. T. 'Decentralized Control of Nonlinear Robot Manipulator,' Robotics 3, pp. 361-370, 1987 https://doi.org/10.1016/0167-8493(87)90053-2
  8. Ioannou, P. A., 'Decentralized Adaptive Control of Interconnected System,' IEEE Trans. Automatic control AC-31, pp. 291-298, 1986 https://doi.org/10.1109/TAC.1986.1104282
  9. R. G. Morgan and U. Ozguner, 'Decentralized variable structure control algorithm for robot manipulator,' IEEE Journal of Robotics and Automation, 1985
  10. Tsay, D. L., Chung, H. Y. and Lee, C. J., 'The Adaptive Control of Nonlinear Systems using the Sugeno-type of Fuzzy Logic,' IEEE Trans. On Fuzzy Systems, Vol. 7, No. 2, April 1999 https://doi.org/10.1109/91.755402
  11. Hsu, Y. C., Member, IEEE, Chen, G., Fellow, IEEE and Li, H. X., Senior Member, IEEE, 'A Fuzzy Adaptive Variable Structure Controller with Applications to Robot Manipulators,' IEEE Trans. On Systems, MAN, and Cybernetics-Part B : Cybernetics, Vol. 31, No. 3, June 2001 https://doi.org/10.1109/3477.931517
  12. Yoo, B. K., Member, IEEE and Ham, W. C., Member, IEEE, 'Adaptive Control of Robot Manipulator using Fuzzy Compensator,' IEEE Trans. On Fuzzy Systems, Vol. 8, No. 2, April 2000 https://doi.org/10.1109/91.842152
  13. Sun, F. C., Sun, Z. Q. and Feng, G., 'An Adaptive Fuzzy Controller based on Sliding Mode for Robot Manipulators,' IEEE Trans. On Systems, MAN, and Cybernetics- Part B: Cybernetics, Vol. 29, No. 4, Aug. 1999 https://doi.org/10.1109/3477.790451
  14. Takagi, T. and Sugeno, M., 'Fuzzy Identification of Systems and its Applications to Modeling and Control,' IEEE Trans. On System, MAN, and Cybern., 15, 1, pp. 116-132, 1985 https://doi.org/10.1109/TSMC.1985.6313399
  15. Buckley, J. J. , 'Sugeno Type Controllers are Universal Controllers,' Fuzzy Sets and Systems, 53, pp. 299-303, 1993 https://doi.org/10.1016/0165-0114(93)90401-3
  16. Wang, L. X. and Mendel, J. M., 'Fuzzy Basis Functions, Universal Approximation and Orthogonal Least Squares Learning,' IEEE Trans. Neural Networks, Vol. 3, pp. 808-814, 1992 https://doi.org/10.1109/72.159070
  17. Jin, Y., 'Decentralized Adaptive Fuzzy Control of Robot Manipulator,' IEEE Trans. SMC., Vol. 28, pp. 47-57, Feb. 1998 https://doi.org/10.1109/3477.658577
  18. Zhang, T. P. and Feng, C. B., 'Decentralized Adaptive Fuzzy Control for Large-Scale Non Linear System,' Fuzzy Sets and Systems, pp. 61-70, 1997 https://doi.org/10.1016/S0165-0114(96)00167-4
  19. Lo, J. and Kuo, Y. H., 'Decoupled Fuzzy Sliding-Mode Control,' IEEE Trans. On System, Vol. 6, pp. 426-435, Aug. 1998 https://doi.org/10.1109/91.705510
  20. Wang, L. X., 'Adaptive Fuzzy Systems and Control : Design and Stability Analysis,' Prentice-Hall, 1994
  21. Sastry, S. and Bodson, M., 'Adaptive Control : Stability,' Convergence and Robustness. Englewood Cliffs, NJ : Prentice-Hall, 1989
  22. Slotine, J. J. E. and Li, W. 'Applied Nonlinear Control,' Englewood Cliffs, NJ : Prentice-Hall, 1991
  23. Lee, C. S. G., Lee, B. H. and Nigam, R., 'An Efficient Formalation of Robot Arm Dynamics for Control Analysis and Manipulators Design,' Technical Report, RSD-TR8-82, Center of Robotics and Intergrated Manufacturing, University of Michigan
  24. Bejczy, A. K., 'Robot Arm Dynamics and Control,' Technical Memorandum, JPL, pp. 33-669, 1974
  25. IEEE Trans. On Systems, MAN, and Cybernetics : Cybernetics v.29 no.4 An Adaptive Fuzzy Controller based on Sliding Mode for Robot Manipulators Sun,F.C.;Sun,Z.Q.;Feng,G.