The Transactions of the Korean Institute of Electrical Engineers D (대한전기학회논문지:시스템및제어부문D)

The Korean Institute of Electrical Engineers (대한전기학회)
권호 표지

Design Robust Fuzzy Model-Based Controller for Uncertain Nonlinear Systems

불확실 비선형 시스템을 위한 강인한 퍼지 모델 기반 제어기

  • 주영훈 (군산대 공대 전기전자제어공학부) ;
  • 장욱 (연세대 공대 전기공학과) ;
  • 박진배 (연세대 공대 전기공학과·)
  • Published : 2000.08.01
Download PDF
⟨ Previous Next ⟩

Abstract

This paper addresses the analysis and design of fuzzy control systems for a class of complex uncertain single-input single-output nonlinear systems. The proposed method represents the nonlinear system using a Takagi-Cugeno fuzzy model and construct a global fuzzy logic controller by blending all local state feedback controllers with a sliding mode controller. Unlike the commonly used parallel distributed compensation technique, we can design a global stable fuzzy controller without finding a common Lyapunov function for all local control systems, and can obtain good tracking performance by using sliding mode control theory. Furthermore, stability analysis is carried out not for the fuzzy model but for the real nonlinear system with uncertainties. Duffing forced oscillation sysmte is used as an example to show the effectiveness and feasibility of the proposed method.

Keywords

References

  1. T. Takagi and M. Sugeno, 'Fuzzy Identification of Systems and Its Applications to Modeling and Control', IEEE Trans. Sys., Man, and Cybernetics, Vol. SMC-15, No. 1, pp. 116-132, 1985
  2. H. O. Wang, K. Tanaka, and M. F. Griffin, 'An Approach to Fuzzy Control of Nonliear Systems: Stability and Design Issues', IEEE Transactions on Fuzzy Systems, Vol. 4, No. 1, pp. 14-23, 1996 https://doi.org/10.1109/91.481841
  3. S. G. Cao, N. W. Rees and G. Feng, 'Analysis and Design for a Class of Complex Control Systems Part II: Fuzzy Controller Design', Automatica, Vol. 33, No. 6, pp. 1029-1039, 1997 https://doi.org/10.1016/S0005-1098(97)00011-3
  4. K. Tanaka and T. Kosaki, 'Design of a Stable Fuzzy Controller for an Articulated Vehicle', IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics, Vol. 27, No. 3, pp. 552-558, 1997 https://doi.org/10.1109/3477.584963
  5. K. Tanaka, T. Ikeda and H. O. Wang, 'Fuzzy Control System Design via LMIs', ACC '97, Proceedings of the American Control Conference, Albuquerque, New Mexico, pp. 2861-2873, 1997 https://doi.org/10.1109/ACC.1997.611982
  6. X. J. Ma, Z. Q. Sun, and Y. Y. He, 'Analysis and Design of Fuzzy Controller and Fuzzy Observer,' IEEE Transactions on Fuzzy Systems, Vol. 6, No. 1, pp. 41-51, 1998 https://doi.org/10.1109/91.660807
  7. Y. C Hsu and G. Chen, 'Fuzzy Dynamical Modeling Techniques for Nonlinear Control Systems and Their Applications to Multiple-Input and Multiple Output (MIMO) System', 1998 (to be published)
  8. J. C. Wu and T. S. Liu, 'A Sliding-Mode Approach to Fuzzy Control Design', IEEE Transactions on Control Systems Technology, Vol. 4, No. 2, pp. 141-151, 1996 https://doi.org/10.1109/87.486340
  9. H. O. Wang, K. Tanaka, and T. Ikeda, 'Fuzy Modeling and Control of Chaotic Systems,' in IEEE Symp. Circuits Syst, Atlanta, GA, pp. 209-212, May 1996 https://doi.org/10.1109/ISCAS.1996.541517
  10. G. Chen, and X. Dong, 'On Feedback Control of Chaotic Continuous-Time Systems', IEEE Transactions on Circuits and Systems-1: Fundamental Theory and Applications, Vol. 40, No. 9, pp. 591-601, 1993 https://doi.org/10.1109/81.244908
  11. J. J. E. Slotine and W. Li, Applied Nonlinear Control. Englewood Cliffs, NJ:Prentice-Hall, 1991