Journal of Institute of Control, Robotics and Systems (제어로봇시스템학회논문지)

Institute of Control, Robotics and Systems (제어로봇시스템학회)
권호 표지
DOI QR코드

DOI QR Code

Observer-Based Output-feedback Sampled-Data Controlling the Singularly Perturbed Takagi-Sugeno Fuzzy Model

특이섭동 타카기 수게노 퍼지모델의 관측기기반 - 출력궤환 샘플치제어

  • Kang, Hyoung Bin (Department of Electronic Engineering, Inha University) ;
  • Moon, Ji Hyun (Department of Electronic Engineering, Inha University) ;
  • Lee, Ho Jae (Department of Electronic Engineering, Inha University)
  • Received : 2016.04.08
  • Accepted : 2016.07.26
  • Published : 2016.09.01
Download PDF
⟨ Previous Next ⟩

Abstract

This paper addresses an observer-based output-feedback sampled-data controller design problem for nonlinear systems in Takagi-Sugeno (T-S) form including singular perturbations. The design condition is represented in terms of linear matrix inequalities. The separation principle is also investigated.

Keywords

References

  1. P. Sannuti and P. V. Kokotovi'c, "Near optimum design of linear systems by a singular perturbation method," IEEE Transactions on Automatic Control, vol. 14, no. 1, pp. 15-21, 1969. https://doi.org/10.1109/TAC.1969.1099113
  2. B. Kim, "Stabilizing controller design for time-delay singularly perturbed systems by $H_{\infty}$ norm and Lambert W function," Transactions of the Korea Institute of Electrical Engineers, vol. 62, no. 8, pp. 1144-1150, 2013. https://doi.org/10.5370/KIEE.2013.62.8.1144
  3. W. Assawinchaichote and S. K. Nguang, "$\mathfrak{H}_{\infty}$ fuzzy control design for nonlinear singularly perturbed systems with pole placement constraints: an LMI approach," IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, vol. 34, no. 1, pp. 579-588, Feb. 2004. https://doi.org/10.1109/TSMCB.2003.817087
  4. W. Assawinchaichote, S. K. Nguang, and P. Shi, "$H_{\infty}$ output feedback control design for uncertain fuzzy singularly perturbed systems: an LMI approach," Automatica, vol. 40, no. 12, pp. 2147-2152, 2004.
  5. K. Tanaka and H. O. Wang, Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach. Wiley, New York, 2001.
  6. G. Maeng and H. H. Choi, "Fuzzy observer design for traffic control system," Journal of Institute of Control, Robotics and Systems, vol. 20, no. 1, pp. 18-21, 2014. https://doi.org/10.5302/J.ICROS.2014.13.1859
  7. J. Yoneyama, M. Nishikawa, H. Katayama, and A. Ichikawa, "Design of output feedback controllers for Takagi-Sugeno fuzzy systems," Fuzzy Sets and Systems, vol. 121, no. 1, pp. 127-148, 2001. https://doi.org/10.1016/S0165-0114(99)00141-4
  8. M. Suzuki and M. Miura, "Stabilizing feedback controllers for singularly perturbed linear constant systems," IEEE Trans. Autom. Control, vol. 21, pp. 123-124, 1976. https://doi.org/10.1109/TAC.1976.1101151
  9. J. O'Reilly, "Full-order observers for a class of singularly perturbed linear time-varying systems," International Journal of Control, vol. 30, pp. 745-756, 1979. https://doi.org/10.1080/00207177908922811
  10. S. H. Yoo and B. J. Choi, "An $H_{\infty}$ output feedback control for singularly perturbed fuzzy systems," Journal of the Korean Institute of Intelligent Systems, vol. 14, no. 3, pp. 316-323, 2004.
  11. D. W. Kim and H. J. Lee, "Direct discrete-time design approach to robust $\mathfrak{H}_{\infty}$ sampled-data observer-based output-feedback fuzzy control," International Journal of Systems Sciences, vol. 47, no. 1, pp. 77-91, Apr. 2015.
  12. H. J. Lee and D. W. Kim, "Performance-recoverable intelligent digital redesign for fuzzy tracking controllers," Information Sciences, vol. 326, pp. 350-367, 2016. https://doi.org/10.1016/j.ins.2015.08.003
  13. D. W. Kim, "$H_{\infty}$ sampled-data control of Takagi-Sugeno fuzzy system," Journal of Institute of Control, Robotics and Systems, vol. 20, no. 11, pp. 1142-1146, 2014. https://doi.org/10.5302/J.ICROS.2014.14.8021
  14. H. B. Kang, J. H. Moon, and H. J. Lee, "Observerbased sampled-data controller design for nonlinear systems including singular perturbation in Takagi-Sugeno form," Proc. of the 31th Institute of Control, Robotics and Systems Conference, pp. 173-174, 2016.
  15. K. Gu, "An integral inequality in the stability problem of time-delay systems," Proc. of the 39th IEEE Conference on Decision and Control, pp. 2805-2810, 2000.
  16. H. K. Lam, H. Li, C. Deters, E. L. Secco, H. A. Wurdemann, and K. Althoefer, "Control design for interval type-2 fuzzy systems under imperfect premise matching," IEEE Transactions on Industrial Electronics, vol. 61, no. 2, pp. 956-968, Feb. 2014. https://doi.org/10.1109/TIE.2013.2253064
  17. W.-J. Chang, C.-P. Kuo, and C.-C. Ku, "Intelligent fuzzy control with imperfect premise matching concept for complex nonlinear multiplicative noised systems," Neurocomputing, vol. 154, pp. 276-283, Apr. 2015. https://doi.org/10.1016/j.neucom.2014.11.065
  18. D. Zhang and Q.-L. Han, "$H_{\infty}$ control design for network-based T-S fuzzy systems with asynchronous constraints on membership functions," IECON 2011-37th Annual Conference on IEEE Industrial Electronics Society, pp. 2548-2549, 2011.
  19. H. Liu, F. Sun, and Z. Sun, "Stability analysis and synthesis of fuzzy singularly perturbed systems," IEEE Transactions on Fuzzy Systems, vol. 13, no. 2, pp. 273-284, Apr. 2005. https://doi.org/10.1109/TFUZZ.2004.839660