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Mathematical Problems in Engineering
Volume 2013, Article ID 215201, 12 pages
http://dx.doi.org/10.1155/2013/215201
Research Article

Observer-Based Robust Adaptive Fuzzy Control for MIMO Nonlinear Uncertain Systems with Delayed Output

Department of Electrical Engineering, Tatung University, 40 Chung-Shan North Road, Sec. 3, Taipei, Taiwan

Received 29 October 2012; Revised 20 January 2013; Accepted 22 January 2013

Academic Editor: Peng Shi

Copyright © 2013 Chiang Cheng Chiang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. A. Isidori, Nonlinear Control Systems, Springer, New York, NY, USA, 2nd edition, 1989. View at Zentralblatt MATH · View at MathSciNet
  2. J. E. Slotine and W. Li, Applied Nonlinear Control, Prentice-Hall, Englewood Cliffs, NJ, USA, 1991.
  3. C. P. Huang, “Model based fuzzy control with affine T-S delayed models applied to nonlinear systems,” International Journal of Innovative Computing Information and Control, vol. 8, no. 5, pp. 2979–2993, 2012. View at Google Scholar
  4. Y. Yang, “Direct robust adaptive fuzzy control (DRAFC) for uncertain nonlinear systems using small gain theorem,” Fuzzy Sets and Systems, vol. 151, no. 1, pp. 79–97, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  5. C. C. Chiang and Z. H. Kuo, “Output tracking controller design for MIMO nonlinear systems with higher-order and unmatched uncertainties,” in Proceedings of the 39th IEEE Confernce on Decision and Control, pp. 1315–1320, December 2000. View at Scopus
  6. Y. Wang, Y. Feng, X. Yu, and N. Zhang, “Terminal sliding mode control of MIMO linear systems with unmatched uncertainties,” in Proceedings of the 29th Annual Conference of the IEEE Industrial Electronics Society, pp. 1146–1151, November 2003. View at Scopus
  7. C. C. Chiang and T. C. Tung, “Robust tracking control of uncertain nonlinear systems with an input time elay,” in Proceedings of the International Joint Conference on Neural Networks, pp. 2394–2399, July 2003. View at Scopus
  8. C. Qian and W. Lin, “Output feedback control of a class of nonlinear systems: a nonseparation principle paradigm,” IEEE Transactions on Automatic Control, vol. 47, no. 10, pp. 1710–1715, 2002. View at Publisher · View at Google Scholar · View at MathSciNet
  9. L. Wu and W. X. Zheng, “L2-L control of nonlinear fuzzy itô stochastic delay systems via dynamic output feedback,” IEEE Transactions on Systems, Man, and Cybernetics B, vol. 39, no. 5, pp. 1308–1315, 2009. View at Publisher · View at Google Scholar · View at Scopus
  10. C. S. Chiu, “Robust adaptive control of uncertain MIMO nonlinear system—feedforward Takagi-Sugeno fuzzy approximation based approach,” IEE Proceedings Control Theory and Applications, vol. 152, no. 2, pp. 157–164, 2005. View at Google Scholar
  11. S. Labiod, M. S. Boucherit, and T. M. Guerra, “Adaptive fuzzy control of a class of MIMO nonlinear systems,” Fuzzy Sets and Systems, vol. 151, no. 1, pp. 59–77, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  12. L. X. Wang, Adaptive Fuzzy Systems and Control: Design and Stability Analysis, Prentice-Hill, Englewood Cliffs, NJ, USA, 1994.
  13. B. S. Chen, C. H. Lee, and Y. C. Chang, “H tracking design of uncertain nonlinear SISO systems: adaptive fuzzy approach,” IEEE Transactions on Fuzzy Systems, vol. 4, no. 1, pp. 32–43, 1996. View at Google Scholar · View at Scopus
  14. S. Tong, J. Tang, and T. Wang, “Fuzzy adaptive control of multivariable nonlinear systems,” Fuzzy Sets and Systems, vol. 111, no. 2, pp. 153–167, 2000. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  15. W. Ma, D. Geng, and Y. Yan, “Multi-phase fuzzy control of single intersection in traffic system based on genetic algorithm,” International Journal of Innovative Computing Information and Control, vol. 8, no. 5, pp. 3387–3397, 2012. View at Google Scholar
  16. S. Tong, T. Wang, and J. T. Tang, “Fuzzy adaptive output tracking control of nonlinear systems,” Fuzzy Sets and Systems, vol. 111, no. 2, pp. 169–182, 2000. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  17. Y. G. Leu, T. T. Lee, and W. Y. Wang, “Observer-based adaptive fuzzy-neural control for unknown nonlinear dynamical systems,” IEEE Transactions on Systems, Man, and Cybernetics B, vol. 29, no. 5, pp. 583–591, 1999. View at Google Scholar
  18. C.-C. Kung and T.-H. Chen, “Observer-based indirect adaptive fuzzy sliding mode control with state variable filters for unknown nonlinear dynamical systems,” Fuzzy Sets and Systems, vol. 155, no. 2, pp. 292–308, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  19. S. Tong, H.-X. Li, and W. Wang, “Observer-based adaptive fuzzy control for SISO nonlinear systems,” Fuzzy Sets and Systems, vol. 148, no. 3, pp. 355–376, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  20. C. H. Wang, H. L. Liu, and T. C. Lin, “Direct adaptive fuzzy-neural control with state observer and supervisory controller for unknown nonlinear dynamical systems,” IEEE Transactions on Fuzzy Systems, vol. 10, no. 1, pp. 39–49, 2002. View at Publisher · View at Google Scholar · View at Scopus
  21. C.-S. Tseng and C.-K. Hwang, “Fuzzy observer-based fuzzy control design for nonlinear systems with persistent bounded disturbances,” Fuzzy Sets and Systems, vol. 158, no. 2, pp. 164–179, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  22. J. H. Park and G. T. Park, “Adaptive fuzzy observer with minimal dynamic order for uncertain nonlinear systems,” IEE Proceedings Control Theory and Applications, vol. 150, no. 2, pp. 189–197, 2003. View at Publisher · View at Google Scholar · View at Scopus
  23. A. Wu and P. K. S. Tam, “Stable fuzzy neural tracking control of a class of unknown nonlinear systems based on fuzzy hierarchy error approach,” IEEE Transactions on Fuzzy Systems, vol. 10, no. 6, pp. 779–789, 2002. View at Publisher · View at Google Scholar · View at Scopus
  24. H. X. Li and S. Tong, “A hybrid adaptive fuzzy control for a class of nonlinear MIMO systems,” IEEE Transactions on Fuzzy Systems, vol. 11, no. 1, pp. 24–34, 2003. View at Publisher · View at Google Scholar · View at Scopus
  25. T. Shaocheng, C. Bin, and W. Yongfu, “Fuzzy adaptive output feedback control for MIMO nonlinear systems,” Fuzzy Sets and Systems, vol. 156, no. 2, pp. 285–299, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  26. X. Su, P. Shi, L. Wu, and Y. D. Song, “A novel approach to filter design for T-S fuzzy discrete-time systems with time-varying delay,” IEEE Transactions on Fuzzy Systems, vol. 20, no. 6, pp. 1114–1129, 2012. View at Google Scholar
  27. X. Zhang, C. Zhang, and Z. Cheng, “Asymptotic stabilization via output feedback for nonlinear systems with delayed output,” International Journal of Systems Science, vol. 37, no. 9, pp. 599–607, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  28. R. Yang, H. Gao, and P. Shi, “Delay-dependent robust H control for uncertain stochastic time-delay systems,” International Journal of Robust and Nonlinear Control, vol. 20, no. 16, pp. 1852–1865, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  29. Y. S. Moon, P. Park, and W. H. Kwon, “Robust stabilization of uncertain input-delayed systems using reduction method,” Automatica, vol. 37, no. 2, pp. 307–312, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  30. A. Germani, C. Manes, and P. Pepe, “A new approach to state observation of nonlinear systems with delayed output,” IEEE Transactions on Automatic Control, vol. 47, no. 1, pp. 96–101, 2002. View at Publisher · View at Google Scholar · View at MathSciNet
  31. D. Yue and J. Lam, “Stabilizing controller design for uncertain systems with time-varying input delay,” IEE Proceedings Control Theory and Applications, vol. 151, no. 6, pp. 699–705, 2004. View at Google Scholar