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Observer-based H Fuzzy Controller Design of Interval Type-2 Takagi-Sugeno Fuzzy Systems Under Imperfect Premise Matching

불완전한 전반부 정합 하에서의 관측기 기반 구간 2형 T-S 퍼지 시스템의 H 퍼지 제어기 설계

  • Hwang, Sounghwan (Dept. of Electrical and Electronic Engineering, Yonsei University) ;
  • Park, Jin Bae (Dept. of Electrical and Electronic Engineering, Yonsei University) ;
  • Joo, Young Hoon (Dept. of Control and Robotics Engineering, Kunsan National University)
  • Received : 2017.04.12
  • Accepted : 2017.09.26
  • Published : 2017.11.01

Abstract

In this paper, we design an observer-based $H_{\infty}$ fuzzy controller for interval type-2 Takagi-Sugeno (T-S) fuzzy systems under imperfect premise matching. The designed observer-based controller can effectively estimate the state of the system and make fuzzy system satisfy the $H_{\infty}$ disturbance attenuation performance. Using the slack matrix, the derived stabilization condition is expressed in terms of a linear matrix inequality. Finally, the effectiveness of the proposed method is verified through a simulation example.

Keywords

Acknowledgement

Supported by : 바른ICT연구소

References

  1. T. Takagi and M. Sugeno, "Fuzzy Identification of Systems and Its Applications to Modeling and Control," IEEE Trans, Sys, Man, and Cybern., vol. SMC-15, no. 1, pp. 116-132, Jan, 1985. https://doi.org/10.1109/TSMC.1985.6313399
  2. K. Tanaka and H. O. Wang, "Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach," New York: Wiley, 2001.
  3. X. J. Ma and Z. Q. Sun, "Analysis and Design of Fuzzy Controller and Fuzzy Observer," IEEE Trans, Fuzzy Syst., vol. 6, no. 1, Feb 1998.
  4. S. Coupland and R. John, "Geometric type-1 and type-2 fuzzy logic systems," IEEE Trans, Fuzzy Syst., vol. 15, no. 1, pp. 3-15, Feb 2007. https://doi.org/10.1109/TFUZZ.2006.889764
  5. J. M. Mendal, R. I. John, and F. Liu, "Interval type-2 fuzzy logic systems made simple," IEEE Trans. Fuzzy Syst., vol. 14, no. 6, pp. 808-821, Dec 2006. https://doi.org/10.1109/TFUZZ.2006.879986
  6. H. K. Lam and L. D. Seneviratne, "Stability Analysis of Interval Type-2 Fuzzy-Model_Based Control Systems," IEEE Trans, Sys, Man, and Cybern., vol. 38, no. 3, pp. 123-123, 2008.
  7. H. J. Lee, J. B. Park, and G. Chen, "Robust Fuzzy Control of Nonlinear Systems with Parametric Uncertainties," IEEE Trans, Fuzzy Syst., vol. 9, no. 2, Apr 2001.
  8. K. R. Lee, E. T. Jeung, and H. B. Park, "Robust fuzzy $H_{\infty}$ control for uncertain nonlinear systems via state feedback: an LMI approach," Fuzzy Sets and Systems, vol. 120, pp. 123-134, 2001. https://doi.org/10.1016/S0165-0114(99)00078-0
  9. C. Tseng, B. Chen, and H. J. Uang "Fuzzy Tracking Control Design for Nonlinear Dynamic Systems via T-S Fuzzy Model," IEEE Trans, Fuzzy Syst., vol. 9, no. 3, June 2001.
  10. J. J. E. Slotine and W. Li "Applied Nonlinear Control," Prentice-Hall International Editions.
  11. L. Xiaodong and Z. Qingling, "New approaches to $H_{\infty}$ controller designs based on fuzzy observers for T-S fuzzy systems via LMI," Automatica 39, 1571-1582, 2003. https://doi.org/10.1016/S0005-1098(03)00172-9
  12. H. K. Lam and M. Narimani, "Stability Analysis and Performance Design for Fuzzy-Model-Based Control Under Imperfect Premise Matching," IEEE Trans, Fuzzy Syst., vol. 17, no. 4, Aug 2009.
  13. H. J. Kim, J. B. Park, Y. H. Joo, "$H_{\infty}$ fuzzy filter for non-linear sampled-data systems under imperfect premise matching," IET Control Theory Appl., vol. 11, no. 5, pp. 747-755, 2017. https://doi.org/10.1049/iet-cta.2016.0240