DOI QR코드

DOI QR Code

특이섭동을 포함한 타카기 - 수게노 형태의 비선형 시스템을 위한 새로운 샘플치 제어기의 설계기법 제안

Sampled-Data Controller Design for Nonlinear Systems Including Singular Perturbation in Takagi-Sugeno Form

  • Moon, Ji Hyun (Department of Electronic Engineering, Inha University) ;
  • Lee, Jaejun (Department of Electronic Engineering, Inha University) ;
  • Lee, Ho Jae (Department of Electronic Engineering, Inha University)
  • 투고 : 2015.10.13
  • 심사 : 2016.02.11
  • 발행 : 2016.02.25

초록

본 논문은 특이섭동을 포함한 비선형 시스템을 위한 샘플치 제어 기법을 논한다. 비선형 시스템은 타카기--수게노(Takagi--Sugeno: T--S) 퍼지모델 형태로 표현됨을 가정한다. 새로운 리아푸노프 함수와 추가적인 항등식을 이용하여 선형행렬부등식 형태의 샘플치 폐루프 T--S 퍼지시스템의 점근적 안정도 조건을 제시한다. 분석결과에 대한 몇 가지 논의점을 언급한다. 모의실험에 의하여 제안된 기법의 타당성을 보인다.

This paper discusses a sampled-data controller design problem for nonlinear systems including singular perturbation. The concerned system is assumed to be modeled in Takagi--Sugeno (T--S) form. By introducing a novel Lyapunov function and an identity equation, the stability of the sampled-data closed-loop dynamics of the singularly perturbed T--S fuzzy system is analyzed. The design condition is represented in terms of linear matrix inequalities. A few discussions on the development are made that propose future research topics. Numerical simulation shows the effectiveness of the proposed method.

키워드

참고문헌

  1. P. Sannuti and P. V. Kokotovic, "Near optimum design of linear systems by a singular perturbation method," IEEE Trans. Autom. Control, vol. 14, no. 1, pp. 15-21, 1969. https://doi.org/10.1109/TAC.1969.1099113
  2. B. S. 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. Nguang, "$H_{\infty}$ fuzzy control design for nonlinear singularly perturbed systems with pole placement constraints: an LMI approach," IEEE Trans. Syst., Man, Cybern. B, 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. C. K. Ha and H. S. Choi, "Design of autolanding guidance and control algorithm using singular perturbation," Journal of Control, Automation and Systems Engineering, vol. 11, no. 8, pp. 726-732, 2005. https://doi.org/10.5302/J.ICROS.2005.11.8.726
  6. D. W. Kim and H. J. Lee, "Direct discrete-time design approach to robust $H_{\infty}$ sampled-data observer-based output-feedback fuzzy control," Int. J. Syst. Sci., pp. 1-15, Apr 2015.
  7. S. W. Jun, D. W. Kim, and H. J. Lee, "Design of T--S Fuzzy-Model-Based Controller for Control of Autonomous Underwater Vehicles," Journal of Korean Institute of Intelligent System, vol. 21, no. 3, pp. 302-306, 2011. https://doi.org/10.5391/JKIIS.2011.21.3.302
  8. D. W. Kim and H. J. Lee, "Stability connection between sampled-data fuzzy control systems with quantization and their approximate discrete-time model," Automatica, vol. 45, pp. 1518-1523, 2009. https://doi.org/10.1016/j.automatica.2009.02.009
  9. D. W. Kim, H. J. Lee, and M. Tomizuka, "Fuzzy stabilization of nonlinear systems under sampled-data feedback: An exact discrete-time model approach," IEEE Trans. Fuzzy Syst., vol. 18, pp. 251-260, 2010.
  10. S. H. Yoo and B, J, Choi, "An $H_{\infty}$ Output Feedback Control for Singularly Perturbed Fuzzy Systems," Korean Institute of Intelligent Systems, vol. 14, no. 3, pp. 316-323, 2004.
  11. 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
  12. K. Gu, "An integral inequality in the stability problem of time-delay systems," in Proceedings of the 39th IEEE conference on decision and control, 2000, pp. 2805-2810.
  13. 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 Trans. Ind. Electron., vol. 61, no. 2, pp. 956-968, Feb 2014. https://doi.org/10.1109/TIE.2013.2253064
  14. 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
  15. D. Zhang and Q.-L. Han, "$H^{\infty}$ control design for network- based T--S fuzzy systems with asynchronous constraints on membership functions," in IECON 2011-37th Annual Conference on IEEE Industrial Electronics Society, Melbourne, VIC, 2011, pp. 2548-2549.
  16. H. Liu, F. Sun, and Z. Sun, "Stability analysis and synthesis of fuzzy singularly perturbed systems," IEEE Trans. Fuzzy Syst., vol. 13, no. 2, pp. 273-284, Apr 2005. https://doi.org/10.1109/TFUZZ.2004.839660

피인용 문헌

  1. Sampled-Data Control for Takagi-Sugeno Fuzzy Model with Singular Perturbation vol.65, pp.9, 2016, https://doi.org/10.5370/KIEE.2016.65.9.1524