International Journal of Fuzzy Logic and Intelligent Systems

  • 제12권1호
  • /
  • Pages.47-52
  • /
  • 2012
  • /
  • 1598-2645(pISSN)
  • /
  • 2093-744X(eISSN)
한국지능시스템학회 (Korean Institute of Intelligent Systems)
권호 표지
DOI QR코드

DOI QR Code

Discrete-Time Sliding Mode Control with SIIM Fuzzy Adaptive Switching Gain

  • 투고 : 2011.10.12
  • 심사 : 2012.03.20
  • 발행 : 2012.03.25
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

This paper focuses on discrete-time sliding mode control with SIIM fuzzy adaptive switching gain. The adaptive switching gain is calculated using the simplified indirect inference fuzzy logic. Two fuzzy inputs are the normal distance from the present state trajectory to the switching function and the distance from the present state trajectory to the equilibrium state. The fuzzy output $f_{out}$(k) out f k is used to adjust the speed the adaptation law depending on the location of the state trajectory. The simulation results showed that the proposed method had no chattering in case of uncertain parameter without disturbance. Moreover the convergent rate of the switching gain was faster and more stable even in case of disturbance.

키워드

참고문헌

  1. V. Utkin, J. Guldner, and J. Shi, Sliding Mode Control in Electromechanical Systems, London, Taylor & Francis, 1999
  2. S. Hui and S. H. Zak, "On discrete-time variable structure sliding mode control", Systems and Control Letters, vol. 38, pp. 283-288, 1999. https://doi.org/10.1016/S0167-6911(99)00075-4
  3. Y. Dote and R. G. Hoft, "Microprocessor based sliding mode controller for dc motor drives", Industrial Application Society Annual Meeting, Cincinnati, OH, 1980.
  4. K. Furuta, "Sliding mode control of a discrete systems", System and Control Letter, vol. 32, pp. 930-932, 1987.
  5. W. Gao, Y. Wang, and A. Hamaifa, "Discrete-time variable structure control systems", IEEE Trans. IE. vol. 42, pp. 117-122, 1995.
  6. A. Bartoszewicz, "Discrete-time quasi-sliding mode control strategies", IEEE Trans. IE. vol. 45, pp. 663-637, 1998.
  7. G. Bartolini, A. Ferrara, and V. Utkin, "Adaptive sliding mode control in discrete-time systems", Automatica, vol. 32, pp. 796-773, 1995.
  8. H. Lenz, R. Berstecher, and M. K. Lang, "Adaptive sliding-mode control of the absolute gain", In Nonlinear Control Systems Design Symposium 1998, Hengelo.
  9. T. Ljung, Q, Zhou, and C. Su, "An adaptive variable structure model following control design for robot manipulators", IEEE Trans. AC, vol. 36, pp. 347-352, 1991. https://doi.org/10.1109/9.73569
  10. G. Monsees and J. M. A. Scherpen, "Adaptive switching gain for a discrete-time sliding mode controller", Int. J. of Control, vol. 75, pp. 242-251, 2002. https://doi.org/10.1080/00207170110101766
  11. B. W. Ko, S. H. Kim, and L. K. Kim, "Design of a Fuzzy-Sliding Observer for Improvement of Low Speed Operation of DC Servo Motor", Proc. of KFIS Spring Conf., 2004, vol. 14, no. 1, 2004. pp. 153-156, 2004.
  12. S. J. Seo, "Indirect Adaptive Fuzzy Sliding Mode Control for Nonaffine Nonlinear Systems", Intl. Journal of Fuzzy Logic and Intelligent Systems, vol. 5, no. 2, June pp. 145-150, 2005. https://doi.org/10.5391/IJFIS.2005.5.2.145
  13. Z. Bin and D. S. Lee, "A Fuzzy Sliding Mode Control for Rotational Inverted Pendulum", Proc. of KFIS Autumn Conf., 2006, vol. 16, no. 2, 2006.
  14. K. Hayashi, A. Ostubo, S. Murakami, and M. Maeda, "Realization of nonlinear and linear PID controls using simplified indirect fuzzy inference methods", Fuzzy Sets and Systems, vol. 195, pp. 409-414, 1999.
  15. C. H. Chai, "Design of sliding mode controller with SIIM fuzzy logic boundary layer", KITE, vol. 41-SC, pp. 45-51, 2004.