Paper:
A Time-Delay-Dependent Approach for a Class of T-S Fuzzy Models with Time Delays and Uncertainties
Hugang Han* and Taku Tanaka**
*Faculty of Management and Information Systems, Prefectural University of Hiroshima, 1-1-71 Ujina-Higashi, Minami-ku, Hiroshima, Hiroshima 734-8558, Japan
**Nikko Systems Solutions Ltd., 12-1 Daito-Chou, Tsurumi-ku, Yokohama, Kanagawa 230-0032, Japan
- [1] T. Takagi and M. Sugeno, “Fuzzy identification of systems and its applications to modeling and control,” IEEE Trans. Syst., Man, Cybern., Vol.15, pp. 116-132, 1985.
- [2] H. Wu and H. X. Li, “New approach to delay-dependent stability analysis and stabilization for continuous-time fuzzy control systems with time-varying delay,” IEEE Trans. on Fuzzy Systems, Vol.15, No.3, pp. 482-493, 2007.
- [3] S. Zhou and T. Li, “Robust stabilization for delayed discrete-time fuzzy systems via basis-dependent Lyapunov-Krasovskii function,” Fuzzy Sets and Systems, Vol.151, No.1, pp. 139-153, 2005.
- [4] H. K. Lam, “Stability analysis of discrete-time fuzzy-model-based control systems with time delay: Time delay-independent approach,” Fuzzy Sets and Systems, Vol.159, pp. 990-1000, 2008.
- [5] Y. Zhao, H. Gao, J. Lam, and B. Du, “Stability and stabilization of delayed T-S fuzzy systems: A delay partitioning approach,” IEEE Trans. on Fuzzy Systems, Vol.17, No.4, pp. 750-761, 2009.
- [6] C. Edwards and S. K. Spurgeon, “Sliding Mode Control: Theory and Applications,” New York: Taylor & Francis, 1998.
- [7] F. Zheng, Q.-G. Wang, and T. H. Lee, “Output tracking control of MIMO fuzzy nonlinear systems using variable structure control approach,” IEEE Trans. on Fuzzy Systems, Vol.10, No.6, pp. 686-697, 2002.
- [8] C. Lin, Q.-G.Wang, and T. H. Lee, “Stabilization of uncertain fuzzy time-delay systems vai variable structure control approach,” IEEE Trans. on Fuzzy Systems, Vol.13, No.6, pp. 787-798, 2005.
- [9] D. W. C. Ho and Y. Niu, “Robust fuzzy design for nonlinear uncertain stochastic systems via sliding-mode control,” IEEE Trans. on Fuzzy Systems, Vol.15, No.3, pp. 350-358, 2007.
- [10] J. Zhang, P. Shi, and Y. Xia, “Robust adaptive sliding-mode control for fuzzy systems with mismatched uncertainties,” IEEE Trans. on Fuzzy Systems, Vol.18, No.4, pp. 700-711, 2010.
- [11] H. H. Choi, “Robust stabilization of uncertain fuzzy-time-delay systems using sliding-mode-control approach,” IEEE Trans. on Fuzzy Systems, Vol.18, No.5, pp. 979-984, 2010.
- [12] B. Chen, X. Liu, and S. Tong, “New delay-dependent stabilization conditions of T-S fuzzy systems with constant delay,” Fuzzy Sets and Systems, Vol.158, pp. 2209-2224, 2007.
- [13] H. H. Choi, “Robust stabilization of uncertain fuzzy-time-delay systems using sliding-mode-control approach,” IEEE Trans. on Fuzzy Systems, Vol.18, No.5, pp. 979-984, 2010.
This article is published under a Creative Commons Attribution-NoDerivatives 4.0 Internationa License.