한국지능시스템학회논문지 (Journal of the Korean Institute of Intelligent Systems)

  • 제15권6호
  • /
  • Pages.765-770
  • /
  • 2005
  • /
  • 1976-9172(pISSN)
  • /
  • 2288-2324(eISSN)
한국지능시스템학회 (Korean Institute of Intelligent Systems)
권호 표지
DOI QR코드

DOI QR Code

Improved Digital Redesign for Fuzzy Systems: Compensated Bilinear Transform Approach

  • 발행 : 2005.12.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

This paper presents a new intelligent digital redesign (IDR) method via the compensated bilinear transformation to design the digital controller such that the digital fuzzy system is equivalent to the analog fuzzy system in the sense of the state-matching. This paper especially consider a multirate control scheme with a predictive feature, where the digital control input is held constant N times between the sampling points. More precisely, the multirate control scheme is proposed that utilizes a numerical integration scheme to approximately predict the current state from the state measured at the sampling points, the delayed measurements. For this system, the IDR conditions incorporated with stabilizability in the format of the linear matrix inequalities (LMIs) are derived. The superiority of the proposed technique is convincingly visualized through a numerical example.

키워드

참고문헌

  1. Y. H. Joo, L. S. Shieh, and G. Chen, 'Hybrid state space fuzzy model-based controller with dual-rate sampling for digital control of chaotic systems,' IEEE Trans. Fuzzy Syst., vol. 7, no. 4, pp. 394-408, 1999 https://doi.org/10.1109/91.784199
  2. W. Chang, J. B. Park, Y. H. Joo, and G. Chen, 'Design of sampled-data fuzzy-model-based control systems by using intelligent digital redesign,' IEEE Trans. Circ. Syst. I, vol. 49, no. 4, pp. 509-517, 2002 https://doi.org/10.1109/TCSI.2002.995668
  3. W. Chang, J. B. Park, and Y. H. Joo, 'GA-based intelligent digital redesign of fuzzy-model-based controllers,' IEEE Trans. Fuzzy Syst., vol. 11, no. 1, pp. 35-44, 2003 https://doi.org/10.1109/TFUZZ.2002.806315
  4. W. Chang, J. B. Park, H. J. Lee, and Y. H. Joo, 'LMI approach to digital redesign of linear timeinvarint systems,' IEE Proc., Control Theory Appl., vol. 149, no. 4, pp. 297-302, 2002
  5. H. J. Lee, J. B. Park, and Y. H. Joo, 'An efficient observer-based sampled-data control: Digital redesign approach,' IEEE Trans. Circuits Syst. I, vol. 50, no. 12, pp. 1595-1601, 2003 https://doi.org/10.1109/TCSI.2003.819832
  6. H. J. Lee, H. Kim, Y. H. Joo, W. Chang, and J. BPark, 'A new intelligent digital redesign for T–S fuzzy systems: global approach,' IEEE Trans. Fuzzy Syst., vol. 12, no. 2, pp. 274-284, 2004 https://doi.org/10.1109/TFUZZ.2003.819826
  7. H. O. Wang, K. Tananka, and M. F. Griffin, 'An approach to fuzzy control of nonlinear systems: Stability and design issues,' IEEE Trans. Fuzzy Syst., vol. 4, no. 1, pp. 14-23, 1996 https://doi.org/10.1109/91.481841
  8. K. Tananka, T. Kosaki, and H. O. Wang, 'Backing control problem of a mobile robot with multiple trailers: fuzzy modeling and LMI-based design,' IEEE Trans. Syst. Man, Cybern. C., vol. 28, no. 3, pp. 329-337, 1998 https://doi.org/10.1109/5326.704559
  9. H. Fujimoto, Y. Hori, and A. Kawamura, 'Perfect tracking control based on multirate feedforward control with generalized sampling periods,' IEEE Trans. Ind. Electron., vol. 48, no. 3, pp. 636-644, 2001 https://doi.org/10.1109/41.925591
  10. T. Chen and L. Qiu, 'H$ \infty $ design of general multirate sampled-data control systems,' Automatica, vol. 30, pp. 1139-1152, 1994 https://doi.org/10.1016/0005-1098(94)90210-0
  11. T. Chen and B. Francis, 'Optimal Sampled-Data Control Systems,' Springer, 1995
  12. B. A. Francis and T. T. Georgiou, 'Stability theory for linear time-invariant plants with periodic digital controllers,' IEEE Trans. Automat. Contr., vol. 33, no. 9, pp. 820-832, 1988 https://doi.org/10.1109/9.1310
  13. L. S. Shieh, W. M. Wang, J. Bain, and J. W. Sunkel, 'Design of lifted dual-rate digital controllers for X-38 vehicle,' Jounal of Guidance, Contr. Dynamics, vol. 23, pp. 629-339, Jul., 2000 https://doi.org/10.2514/2.4608
  14. L. Qiu and T. Chen, 'H2 -optimal design of multirate sampled-data systems,' IEEE Trans. Automat. Contr., vol. 39, pp. 2506-2511, 1994 https://doi.org/10.1109/9.362836
  15. P. Colaneri and G. De Nicolao, 'Multirate LQG control of continuous- time stochastic systems,' Automatica, vol. 31, pp. 591-596, 1995 https://doi.org/10.1016/0005-1098(95)98488-R
  16. P. G.Voulgaris and B. Bamieh, 'Optimal H$\infty$ and H$ \in$ control of hybrid multirate systems,' Syst. Contr. Lett., vol. 20, pp. 249-261, 1993 https://doi.org/10.1016/0167-6911(93)90001-M
  17. P. G. Voulgaris, M. A. Dahleh, and L. S. Valavani, 'H$\infty$ and H$\in$ optimal controllers for periodic and multirate systems,' Automatica, vol. 30, pp. 251-263, 1994 https://doi.org/10.1016/0005-1098(94)90028-0
  18. H. Bo and A. N. Michel,'Some qualitative properties of multirate digital control systems,' IEEE Trans. Automat. Contr., vol. 44, pp. 765-770, 1999 https://doi.org/10.1109/9.754814