Table of Contents
ISRN Applied Mathematics
Volume 2014 (2014), Article ID 705609, 11 pages
http://dx.doi.org/10.1155/2014/705609
Research Article

New Approach on Robust and Reliable Decentralized Tracking Control for Fuzzy Interconnected Systems with Time-Varying Delay

School of Information Science and Engineering, Northeastern University, Shenyang 110819, China

Received 22 August 2013; Accepted 20 October 2013; Published 5 February 2014

Academic Editors: L. Guo, A. C. Lee, and C. Lu

Copyright © 2014 Xinrui Liu 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. X. D. Liu and Q. L. 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
  2. X.-P. Guan and C.-L. Chen, “Delay-dependent guaranteed cost control for T-S fuzzy systems with time delays,” IEEE Transactions on Fuzzy Systems, vol. 12, no. 2, pp. 236–249, 2004. View at Publisher · View at Google Scholar · View at Scopus
  3. B. Chen and X. Liu, “Delay-dependent robust H control for T-S fuzzy systems with time delay,” IEEE Transactions on Fuzzy Systems, vol. 13, no. 4, pp. 544–556, 2005. View at Publisher · View at Google Scholar · View at Scopus
  4. Y.-Y. Cao and P. M. Frank, “Analysis and synthesis of nonlinear time-delay systems via fuzzy control approach,” IEEE Transactions on Fuzzy Systems, vol. 8, no. 2, pp. 200–211, 2000. View at Publisher · View at Google Scholar · View at Scopus
  5. Y. H. Chen, “Decentralized robust control system design for large-scale uncertain systems,” International Journal of Control, vol. 47, no. 5, pp. 1195–1205, 1988. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  6. F.-H. Hsiao, J.-D. Hwang, C.-W. Chen, and Z.-R. Tsai, “Robust stabilization of nonlinear multiple time-delay large-scale systems via decentralized fuzzy control,” IEEE Transactions on Fuzzy Systems, vol. 13, no. 1, pp. 152–163, 2005. View at Publisher · View at Google Scholar · View at Scopus
  7. W.-J. Wang and L. Luoh, “Stability and stabilization of fuzzy large-scale systems,” IEEE Transactions on Fuzzy Systems, vol. 12, no. 3, pp. 309–315, 2004. View at Publisher · View at Google Scholar · View at Scopus
  8. C. Li, X. Liao, and H. Wang, “Stability analysis of fuzzy large-scale systems with time delays in interconnections,” International Journal of General Systems, vol. 33, no. 6, pp. 621–633, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  9. F.-H. Hsiao and J.-D. Hwang, “Stability analysis of fuzzy large-scale systems,” IEEE Transactions on Systems, Man, and Cybernetics B, vol. 32, no. 1, pp. 122–126, 2002. View at Publisher · View at Google Scholar · View at Scopus
  10. H. N. Wu and H. X. Li, “New approach to delay-dependent stability analysis and stabilization for continuous-time fuzzy systems with time-varying delay,” IEEE Transactions on Fuzzy Systems, vol. 3, no. 15, pp. 617–629, 2007. View at Google Scholar
  11. H. Zhang, D. Yang, and T. Chai, “Guaranteed cost networked control for T-S fuzzy systems with time delays,” IEEE Transactions on Systems, Man and Cybernetics C, vol. 37, no. 2, pp. 160–172, 2007. View at Publisher · View at Google Scholar · View at Scopus
  12. C.-S. Tseng, B.-S. Chen, and H.-J. Uang, “Fuzzy tracking control design for nonlinear dynamic systems via T-S fuzzy model,” IEEE Transactions on Fuzzy Systems, vol. 9, no. 3, pp. 381–392, 2001. View at Publisher · View at Google Scholar · View at Scopus
  13. C.-S. Tseng and B.-S. Chen, “H decentralized fuzzy model reference tracking control design for nonlinear interconnected systems,” IEEE Transactions on Fuzzy Systems, vol. 9, no. 6, pp. 795–809, 2001. View at Publisher · View at Google Scholar · View at Scopus
  14. K. Tanaka, H. Ohtake, and H. O. Wang, “A descriptor system approach to fuzzy control system design via fuzzy Lyapunov functions,” IEEE Transactions on Fuzzy Systems, vol. 15, no. 3, pp. 333–341, 2007. View at Publisher · View at Google Scholar · View at Scopus
  15. T. Taniguchi, K. Tanaka, and H. O. Wang, “Fuzzy descriptor systems and nonlinear model following control,” IEEE Transactions on Fuzzy Systems, vol. 8, no. 4, pp. 442–452, 2000. View at Publisher · View at Google Scholar · View at Scopus
  16. Y. B. Hu, Q. L. Zhang, and Y. Zhang, “Fuzzy descriptor tracking control design for nonlinear systems,” Acta Automatica Sinica, vol. 12, no. 33, pp. 1711–1716, 2007. View at Google Scholar
  17. H.-N. Wu and H.-Y. Zhang, “Reliable H fuzzy control for a class of discrete-time nonlinear systems using multiple fuzzy lyapunov functions,” IEEE Transactions on Circuits and Systems II, vol. 54, no. 4, pp. 357–361, 2007. View at Publisher · View at Google Scholar · View at Scopus
  18. S. Huang, J. Lam, G.-H. Yang, and S. Zhang, “Fault tolerant decentralized H control for symmetric composite systems,” IEEE Transactions on Automatic Control, vol. 44, no. 11, pp. 2108–2114, 1999. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  19. Z. Gao and S. X. Ding, “Actuator fault robust estimation and fault-tolerant control for a class of nonlinear descriptor systems,” Automatica, vol. 43, no. 5, pp. 912–920, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  20. H.-N. Wu and H.-Y. Zhang, “Reliable H fuzzy control for continuous-time nonlinear systems with actuator failures,” IEEE Transactions on Fuzzy Systems, vol. 14, no. 5, pp. 609–618, 2006. View at Publisher · View at Google Scholar · View at Scopus
  21. M. S. Bazaraa and J. J. Jarvis, Linear Programming and Network Flows, John Wiley & Sons, New York, NY, USA, 1977. View at MathSciNet