73
Views
3
CrossRef citations to date
0
Altmetric
Articles

Improved robust exponential stability for Takagi–Sugeno fuzzy uncertain systems with time-varying delays

Pages 150-158 | Received 19 Apr 2012, Accepted 19 Apr 2015, Published online: 22 Sep 2015

References

  • Boyd, S., L. El Ghaoui, E. Feron, and V. Balakrishnan. 1994. Linear Matrix Inequalities in System and Control Theory. Philadelphia, PA: SIAM.10.1137/1.9781611970777
  • Chen, P. C., C. W. Chen, W. L. Chiang, and K. Yeh. 2009. “A Novel Stability Condition and Its Application to GA-based Fuzzy Control for Nonlinear Systems with Uncertainty.” Journal of Marine Science and Technology 17 (4): 293–299.
  • Da, F. P., and S. T. He. 2011. “Exponential Stability Analysis and Controller Design of Fuzzy Systems with Time-delay.” Journal of the Franklin Institute 348 (5): 865–883. doi:10.1016/j.jfranklin.2011.02.012.
  • Guan, X. P., and C. L. Chen. 2004. “Delay-dependent Guaranteed Cost Control for T–S Fuzzy Systems with Time Delays.” IEEE Transactions on Fuzzy Systems 12 (2): 236–249. doi:10.1109/TFUZZ.2004.825085.
  • Hien, L. V. 2010. “Exponential Stability and Stabilisation of Fuzzy Time-varying Delay Systems.” International Journal of Systems Science 41 (10): 1155–1161. doi:10.1080/00207720903045858.
  • Li, C. G., H. J. Wang, and X. F. Liao. 2004. “Delay-dependent Robust Stability of Uncertain Fuzzy Systems with Time-varying Delays.” IEE Proceedings-Control Theory and Applications 151 (4): 417–421. doi:10.1049/ip-cta:20040641.
  • Lien, C. H. 2006. “Further Results on Delay-dependent Robust Stability of Uncertain Fuzzy Systems with Time-varying Delay.” Chaos, Solitons and Fractals 28 (2): 422–427. doi:10.1016/j.chaos.2005.05.039.
  • Lien, C. H., K. W. Yu, W. D. Chen, Z. L. Wan, and Y. J. Chung. 2007. “Stability Criteria for Uncertain Takagi–Sugeno Fuzzy Systems with Interval Time-varying Delay.” IET Control Theory and Applications 1 (3): 764–769. doi:10.1049/iet-cta:20060299.
  • Liu, P. L. 2003a. “Exponential Stability for Linear Time-delay Systems with Delay Dependence.” Journal of the Franklin Institute 340 (6–7): 481–488. doi:10.1016/j.jfranklin.2003.10.003.
  • Liu, P. L. 2003b. “Robust Exponential Stabilization for Uncertain Systems with State and Control Delay.” International Journal of Systems Science 34 (12–13): 675–682. doi:10.1080/00207720310001640719.
  • Liu, X. W. 2008. “Delay-dependent H∞ Control for Uncertain Fuzzy Systems with Time-varying Delays.” Nonlinear Analysis: Theory, Methods and Applications 68 (5): 1352–1361. doi:10.1016/j.na.2006.12.029.
  • Liu, P. L. 2010. “Further Results on the Exponential Stability for Time-delay Systems with Delay Dependence.” International Journal of Electrical Engineering 17 (2): 155–160.
  • Liu, F., M. Wu, Y. He, and R. Yokoyama. 2010. “New Delay-dependent Stability Criteria for T–S Fuzzy Systems with Time-varying Delay.” Fuzzy Sets and Systems 161 (15): 2033–2042. doi:10.1016/j.fss.2009.12.014.
  • Takagi, T., and M. Sugeno. 1985. “Fuzzy Identification of Systems and its Applications to Modeling and Control.” IEEE Transactions on Systems, Man and Cybernetics SMC-15 (1): 116–132. doi:10.1109/TSMC.1985.6313399.
  • Zhang, B., J. Lam, S. Xu, and Z. Shu. 2009. “Robust Stabilization of Uncertain T–S Fuzzy Time-delay Systems with Exponential Estimates.” Fuzzy Sets and Systems 160 (12): 1720–1737. doi:10.1016/j.fss.2008.10.015.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.