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Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 234612, 8 pages
http://dx.doi.org/10.1155/2013/234612
Research Article

Robust Control for a Class of Uncertain Switched Fuzzy Time-Delay Systems Based on T-S Models

1Teaching and Training Center of Electrical and Electronics Engineering, Harbin University of Science and Technology, Harbin, Heilongjiang 150080, China
2School of Automation, Harbin University of Science and Technology, Harbin, Heilongjiang 150080, China

Received 30 October 2012; Revised 28 December 2012; Accepted 28 December 2012

Academic Editor: Peng Shi

Copyright © 2013 Yang Cui et al. 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. K. Lee, E. T. Jeung, and H. B. Park, “Robust fuzzy H control for uncertain nonlinear systems via state feedback: an LMI approach,” Fuzzy Sets and Systems, vol. 120, no. 1, pp. 123–134, 2001. View at Publisher · View at Google Scholar · View at Scopus
  2. M. J. Wang and M. F. Yang, “Application of signed distances method to integrate linear programming for fuzzy multi-objective project management,” International Journal of Innovative Computing, Information and Control, vol. 7, no. 1, pp. 237–252, 2011. View at Scopus
  3. M. H. Bahari, A. Karsaz, and N. Pariz, “High maneuvering target tracking using a novel hybrid Kalman filter-fuzzy logic architecture,” International Journal of Innovative Computing, Information and Control, vol. 7, no. 2, pp. 501–510, 2011. View at Scopus
  4. T. Takagi and M. Sugeno, “Fuzzy identification of systems and its applications to modeling and control,” IEEE Transactions on Systems, Man and Cybernetics, vol. 15, no. 1, pp. 116–132, 1985. View at Scopus
  5. K. Tanaka and M. Sugeno, “Stability analysis and design of fuzzy control systems,” Fuzzy Sets and Systems, vol. 45, no. 2, pp. 135–156, 1992. View at Scopus
  6. W. J. Wang and C. H. Sun, “Relaxed stability and stabilization conditions for a T-S fuzzy discrete system,” Fuzzy Sets and Systems, vol. 156, no. 2, pp. 208–225, 2005. View at Publisher · View at Google Scholar · View at Scopus
  7. X. Liu and Q. Zhang, “Approaches to quadratic stability conditions and H control designs for T-S fuzzy systems,” IEEE Transactions on Fuzzy Systems, vol. 11, no. 6, pp. 830–839, 2003. View at Publisher · View at Google Scholar · View at Scopus
  8. M. Wang, B. Chen, and S. Tong, “Adaptive fuzzy tracking control for strict-feedback nonlinear systems with unknown time delays,” International Journal of Innovative Computing, Information and Control, vol. 4, no. 4, pp. 829–837, 2008. View at Scopus
  9. D. H. Lee, J. B. Park, Y. H. Joo, and H. S. Moon, “Further studies on stabilization conditions for discrete-time Takagi-Sugeno fuzzy systems,” in Proceedings of the IEEE International Conference on Fuzzy Systems (FUZZ-IEEE '09), pp. 831–835, August 2009. View at Publisher · View at Google Scholar · View at Scopus
  10. L. Wu, X. Su, P. Shi, and J. Qiu, “A new approach to stability analysis and stabilization of discrete-time T-S fuzzy time-varying delay systems,” IEEE Transactions on Systems, Man, and Cybernetics B, vol. 41, no. 1, pp. 273–286, 2011. View at Publisher · View at Google Scholar · View at Scopus
  11. X. J. Su, L. G. Wu, P. Shi, and Y. D. Song, “H model reduction of T-S Fuzzy stochastic systems,” IEEE Transactions on Systems, Man, and Cybernetics B, vol. 42, no. 2, pp. 1574–1585, 2012.
  12. L. Wu, X. Su, P. Shi, and J. Qiu, “Model approximation for discrete-time state-delay systems in the TS fuzzy framework,” IEEE Transactions on Fuzzy Systems, vol. 19, no. 2, pp. 366–378, 2011. View at Publisher · View at Google Scholar · View at Scopus
  13. W. J. Chang, C. C. Ku, and P. H. Huang, “Robust fuzzy control via observer feedback for passive stochastic fuzzy systems with time-delay and multiplicative noise,” International Journal of Innovative Computing, Information and Control, vol. 7, no. 1, pp. 345–364, 2011. View at Scopus
  14. J. Daafouz, P. Riedinger, and C. Iung, “Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach,” IEEE Transactions on Automatic Control, vol. 47, no. 11, pp. 1883–1887, 2002. View at Publisher · View at Google Scholar · View at Scopus
  15. Z. He, M. Wang, and S. Liu, “Discrete sliding mode prediction control of uncertain switched systems,” Journal of Systems Engineering and Electronics, vol. 20, no. 5, pp. 1065–1071, 2009. View at Scopus
  16. F. Li and X. Zhang, “A delay-dependent bounded real lemma for singular LPV systems with time-variant delay,” International Journal of Robust and Nonlinear Control, vol. 22, no. 5, pp. 559–574, 2012. View at Publisher · View at Google Scholar · View at Scopus
  17. Z. Wu, P. Shi, H. Su, and J. Chu, “Delay-dependent stability analysis for switched neural networks with time-varying delay,” IEEE Transactions on Systems, Man and Cybernetics B, vol. 41, no. 6, pp. 1522–1530, 2011. View at Publisher · View at Google Scholar
  18. Z. L. He, L. G. Wu, and X. J. Su, “H control of linear positive systems: continuous-and discrete-time cases,” International Journal of Innovative Computing, Information and Control, vol. 5, no. 6, pp. 1747–1756, 2009. View at Scopus
  19. E. Fridman and U. Shaked, “Delay-dependent stability and H control: constant and time-varying delays,” International Journal of Control, vol. 76, no. 1, pp. 48–60, 2003. View at Publisher · View at Google Scholar · View at Scopus
  20. Z. L. He, J. F. Wu, G. H. Sun, and C. Gao, “State estimation and sliding mode control of uncertain switched hybrid systems,” International Journal of Innovative Computing, Information and Control, vol. 20, no. 5, pp. 1065–1071, 2009.
  21. S. S. Chen, Y. Chang, J. L. Wu, W. C. Cheng, and S. F. Su, “Fuzzy control design for switched nonlinear systems,” in Proceedings of the SICE Annual Conference of International Conference on Instrumentation, Control and Information Technology, pp. 352–357, August 2008. View at Publisher · View at Google Scholar · View at Scopus
  22. Y. Chen, L. X. Zhang, H. R. Karimi, and X. D. Zhao, “Stability analysis and controller design of a class of switched discrete-time fuzzy systems,” in Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, pp. 6159–6164, 2011.
  23. I. R. Petersen, “A stabilization algorithm for a class of uncertain linear systems,” Systems and Control Letters, vol. 8, no. 4, pp. 351–357, 1987. View at Scopus