International Journal of Fuzzy Logic and Intelligent Systems

Korean Institute of Intelligent Systems (한국지능시스템학회)
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Indirect Adaptive Regulator Design Based on TSK Fuzzy Models

  • Published : 2006.03.01
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Abstract

In this paper, we have proposed a new adaptive fuzzy control algorithm based on Takagi-Sugeno fuzzy model. The regulation problem for the uncertain SISO nonlinear system is solved by the proposed algorithm. Using the advanced stability theory, the stability of the state, the control gain and the parameter approximation error is proved. Unlike the existing feedback linearization based methods, the proposed algorithm can guarantee the global stability in the presence of the singularity in the inverse dynamics of the plant. The performance of the proposed algorithm is demonstrated through the problem of balancing and swing-up of an inverted pendulum on a cart.

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References

  1. M. Sugeno, Industrial applications of fuzzy control, Elsevier Science, Amsterdam, 1985
  2. C. C. Lee, Fuzzy logic in control: Fuzzy logic controller-Part I and Part II, IEEE Trans. Syst., Man, Cybern., vol.20, no.2, pp.404-435, March, 1990 https://doi.org/10.1109/21.52551
  3. B. Kosko, Neural networks and fuzzy systems, Prentice-Hall, Englewood Cliffs, 1992
  4. M. Jamshidi, N. Vadiee and T. J. Ress, Fuzzy logic and control, Prentice-Hall, Englewood Cliffs, 1993
  5. T. Takagi and M. Sugeno, Fuzzy identification of systems and its application to modeling and control, IEEE Trans. Syst., Man, Cybern., vol.15, no.1 , pp.116-132, Jan. 1985
  6. S. G. Kong and B. Kosko, Adaptive fuzzy systems for backing up a truck and trailer, IEEE Trans. Neural Networks, vol.3, no.2, pp.211-223, March, 1992 https://doi.org/10.1109/72.125862
  7. C. -Y. Su and Y. Stepanenko, Adaptive control of a class of nonlinear systems with fuzzy logic, IEEE Trans. Fuzzy Syst., vol.2, no.3, pp.285-294, Nov. 1994 https://doi.org/10.1109/91.324808
  8. C. C. Wong, B. C. Huang and J. Y. Chen, Rule regulation of indirect adaptive fuzzy controller design, IEE Proc. Control Theory Appli., vol.145, no.6, pp.513-518, Nov. 1988
  9. L. X. Wang, Stable adaptive fuzzy control of nonlinear systems, IEEE Trans. Fuzzy Syst., vol.1, no.2, pp.146-155, May 1993 https://doi.org/10.1109/91.227383
  10. L. X. Wang, Adaptive fuzzy systems and control: Design and stability analysis, Englewood Cliffs, Prentice-Hall, 1993
  11. J. T. Spooner and K. M. Passino, Stable adaptive control using fuzzy systems and neural networks, IEEE Trans. Fuzzy Syst., vol.4, no.3, pp.339-359, Aug. 1996 https://doi.org/10.1109/91.531775
  12. B. -S. Chen, C. -H. Lee and Y. -C. Chang, H$^{\infty}$ Tracking design of uncertain nonlinear SISO systems: Adaptive fuzzy approach, IEEE Trans. Fuzzy Syst., vol.4, no.1, pp.32-43, Feb. 1996 https://doi.org/10.1109/91.481843
  13. K. Fischle and D. Schroder, An improved stable adaptive fuzzy control method, IEEE Tans. Fuzzy Syst., vol.7, no.1, pp.27-40, Feb. 1999 https://doi.org/10.1109/91.746301
  14. D. L. Tsay, H. Y. Chung and C. J. Lee, The adaptive control of nonlinear systems using the Sugeno-type of fuzzy logic, IEEE Tans. Fuzzy Syst., vol.7, no.2, pp.225-229, Apr. 1999 https://doi.org/10.1109/91.755402
  15. R. Ordonez and K. M. Passino, Stable multi-input multi-output adaptive fuzzy/neural control, IEEE Tans. Fuzzy Syst., vol.7, no.3, pp.345-353, June 1999 https://doi.org/10.1109/91.771089
  16. S. S. Sastry and A. Isidori, Adaptive control of linearizable systems, IEEE Trans. Automat. Contr., vol.34, no.11, pp.1123-1131, Nov. 1989 https://doi.org/10.1109/9.40741
  17. R. H. Cannon, Dynamics of physical systems, McGrawHill, New York, 1967
  18. F. C. Sun, Z. Q. Sun and G. Feng, An adaptive fuzzy controller based on sliding mode for robot manipulators, IEEE Trans. Syst., Man, Cybern., vol.29, no.5, pp.661-667, Oct. 1999
  19. Y. G. Leu, T. T. Lee and W. Y. Wang, Observer based adaptive fuzzy-neural control for unknown nonlinear dynamical systems, IEEE Trans. Syst., Man, Cybern., vol.29, no.5, pp.583-591, Oct. 1999 https://doi.org/10.1109/3477.790441
  20. R. M. Sanner and J. -J. E. Slotine, Gaussian networks for direct adaptive control, IEEE Trans. Neural Networks, vol.3, no.6, pp.837-863, Nov. 1992 https://doi.org/10.1109/72.165588
  21. K. S. Narendra and A. M. Annaswamy, Stable adaptive systems, Prentice-Hall, Englewood Cliffs, 1989
  22. G. A. Rovithakis and M. A. Christodoulou, Adaptive control of unknown plants using dynamic neural networks, IEEE Trans. Syst., Man, Cybern., vol. 24, no.3, pp. 400-412, March 1994 https://doi.org/10.1109/21.278990
  23. P. A. Ioannou and J. Sun, Robust adaptive control, Prentice Hall, New Jersey, 1996

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