한국지능시스템학회논문지 (Journal of the Korean Institute of Intelligent Systems)

  • 제20권1호
  • /
  • Pages.15-20
  • /
  • 2010
  • /
  • 1976-9172(pISSN)
  • /
  • 2288-2324(eISSN)
한국지능시스템학회 (Korean Institute of Intelligent Systems)
권호 표지
DOI QR코드

DOI QR Code

대규모 T-S 퍼지 시스템의 H- 고장검출을 위한 관측기 설계

Observer Design for H- Fault Detection of Large Scale T-S Fuzzy Systems

  • 지성철 (인하대학교 전자공학부) ;
  • 이호재 (인하대학교 전자공학부) ;
  • 주영훈 (군산대학교 제어로봇시스템공학과) ;
  • 김도완 (연세대학교 산업기술연구소)
  • 투고 : 2009.09.24
  • 심사 : 2010.01.10
  • 발행 : 2010.02.25
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

본 논문은 대규모 연속시간 T-S (Takagi-Sugeno) 퍼지 시스템의 고장검출을 위한 관측기 설계 문제를 논의한다. 관측기의 출력신호로부터 고장 여부를 판단하기 위해서 관측기는 고장신호에 가능한 민감해야하며 이를 위해 $\mathfrak{H}_-$ 성능지수를 도입한다. 설계 조건은 선형행렬부등식으로 표현되며 수치적 예제로부터 그 효용성을 확인한다.

In this paper, we discuss a decentralized observer design problem for the fault detection in the large-scale continuous-time T-S (Takagi-Sugeno) fuzzy system. Since the fault detection residual is desired to be as sensitive as possible, on the fault, we use $\mathfrak{H}_-$ index performance criterion. Sufficient conditions for the existence of such a observer is presented in terms of linear matrix inequalities. Simulation results show the effectiveness of the proposed method.

키워드

참고문헌

  1. R.-J. Wang, "Nonlinear decentralized state feedback controller for uncertain fuzzy time-delay interconnected systems," Fuzzy Sets Systems, vol. 151, pp. 191-204, 2005. https://doi.org/10.1016/j.fss.2004.08.010
  2. S. S. Stankovic and D. D. Siljak, "Robust stabilization of nonlinear interconnected systems by decentralized dynamic output feedback," Systems & Control Letters, vol. 58, pp. 271-275, 2009. https://doi.org/10.1016/j.sysconle.2008.11.003
  3. Y.-Y. Cao, Y.-X. Sun, and W.-J. Mao, "Output feedback decentralized stabilization: ILMI approach," Systems & Control Letters, vol. 35, pp. 183-194, 1998. https://doi.org/10.1016/S0167-6911(98)00050-4
  4. S. Dhbaibi, A. S. Tlili, S. Elloumi, and N. B. Braiek, "$H_{\infty}$ decentralized observation and control of nonlinear interconnected systems," ISA Transactions, vol. 48, pp. 458-467, 2009. https://doi.org/10.1016/j.isatra.2009.05.006
  5. C.-S. Tseng and B.-S. Chen, " $H_{\infty}$ decentralized fuzzy model reference tracking control design for nonlinear interconnected systems," IEEE Transactions on Fuzzy Systems, vol. 9, pp. 795-809, 2001. https://doi.org/10.1109/91.971729
  6. L. Bai, Z. Tian, and S. Shi, "Robust fault detection for a class of nonlinear time-delay systems," Journal of the Franklin Institute, vol. 344, pp. 873-888, 2007. https://doi.org/10.1016/j.jfranklin.2006.11.004
  7. A. Xu and Q. Zhang, "Nonlinear system fault diagnosis based on adaptive estimation," Automatica, vol. 40, pp. 1181-1193, 2004. https://doi.org/10.1016/j.automatica.2004.02.018
  8. L. Li and D. Zhou, "Fast and robust fault diagnosis for a class of nonlinear systems: detectability analysis," Computers & Chemical Engineering, vol. 28, pp. 2635-2646, 2004. https://doi.org/10.1016/j.compchemeng.2004.07.023
  9. M. Mattei, G. Paviglianiti, and V. Scordamaglia, "Nonlinear observers with $H_{\infty}$ performance for sensor fault detection and isolation: a linear matrix inequality design procedure," Control Engineering Practice, vol. 13, pp. 1271-1281, 2005. https://doi.org/10.1016/j.conengprac.2004.11.012
  10. C. D. Persis and A. Isidori, "A geometric approach to nonlinear fault detection and isolation," IEEE Transactions on Automatic Control, vol. 46, pp. 853-865, 2001.
  11. B. Yan, Z. Tian, S. Shi, and Z. Weng, "Fault diagnosis for a class of nonlinear systems via ESO," ISA Transactions, vol. 47, pp. 386-394, 2008. https://doi.org/10.1016/j.isatra.2008.06.004
  12. J. L. Wang, G.-H. Yang, and J. Liu, "An LMI approach to H_ index and mixed H_/$H_{\infty}$ fault detection observer design," Automatica, vol. 43, pp. 1656-1665, 2007. https://doi.org/10.1016/j.automatica.2007.02.019
  13. J. Liu, J. L. Wang, and G.-H. Yang, "An LMI approach to minimum sensitivity analysis with application to fault detection," Automatica, vol. 41, pp. 1995-2004, 2005. https://doi.org/10.1016/j.automatica.2005.06.005
  14. I. M. Jaimoukha, Z. Li, and V. Papakos, "A matrix factorization solution to the H_/$H_{\infty}$ fault detection problem," Automatica, vol. 42, pp. 1907-1912, 2006. https://doi.org/10.1016/j.automatica.2006.06.002
  15. J. Guo, X. Huang, and Y. Cui, "Design and analysis of robust fault detection filter using LMI tools," Computers & Mathematics with Applications, vol. 57, pp. 1743-1747, 2009. https://doi.org/10.1016/j.camwa.2008.10.032