The DOI matches its Crossref record; 13 of the 13 references it cites were found in a registry or an index.
A New Approach to Stability Analysis and Stabilization of Discrete-Time T-S Fuzzy Time-Varying Delay Systems
Abstract
This paper investigates the problems of stability analysis and stabilization for a class of discrete-time Takagi-Sugeno fuzzy systems with time-varying state delay. Based on a novel fuzzy Lyapunov-Krasovskii functional, a delay partitioning method has been developed for the delay-dependent stability analysis of fuzzy time-varying state delay systems. As a result of the novel idea of delay partitioning, the proposed stability condition is much less conservative than most of the existing results. A delay-dependent stabilization approach based on a nonparallel distributed compensation scheme is given for the closed-loop fuzzy systems. The proposed stability and stabilization conditions are formulated in the form of linear matrix inequalities (LMIs), which can be solved readily by using existing LMI optimization techniques. Finally, two illustrative examples are provided to demonstrate the effectiveness of the techniques proposed in this paper.
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Cites
Fuzzy identification of systems and its applications to modeling and control
Takagi, T., & Sugeno, M. (1985) · IEEE Transactions on Systems, Man, and Cybernetics · doi:10.1109/tsmc.1985.6313399 · Cited by 19,592
Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach
TANAKA, K. A., & Wang, H. O. (2008) · Cited by 2,447
A Survey on Analysis and Design of Model-Based Fuzzy Control Systems
Feng, G. (2006) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2006.883415 · Cited by 1,671
Delay-dependent criteria for robust stability of time-varying delay systems
Wu, M., He, Y., She, J.-H., & Liu, G.-P. (2004) · Automatica · doi:10.1016/j.automatica.2004.03.004 · Cited by 1,091
Guerra, T., & Guerra, T. (2004) · Automatica · doi:10.1016/j.automatica.2003.12.014 · Cited by 878
H∞ filtering for uncertain stochastic time-delay systems with sector-bounded nonlinearities
Wang, Z., Liu, Y., & Liu, X. (2008) · Automatica · doi:10.1016/j.automatica.2007.09.016 · Cited by 382
Stability analysis for continuous systems with two additive time-varying delay components
Lam, J., Gao, H., & Wang, C. (2006) · Systems & Control Letters · doi:10.1016/j.sysconle.2006.07.005 · Cited by 340
Fuzzy Filter Design for ItÔ Stochastic Systems With Application to Sensor Fault Detection
Wu, L., & Ho, D. W. C. (2008) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2008.2010867 · Cited by 310
Self-citationStabilization of Nonlinear Systems Under Variable Sampling: A Fuzzy Control Approach
Gao, H., & Chen, T. (2007) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2006.890660 · Cited by 254
Wu, L., & Zheng, W. X. (2009) · IEEE Transactions on Systems Man and Cybernetics Part B (Cybernetics) · doi:10.1109/tsmcb.2008.2012350 · Cited by 115
Self-citation
Cited by
Jiang, B., Karimi, H. R., Kao, Y., & Gao, C. (2020) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2019.2914005 · Cited by 218
Metadata
- Authors
- Wu, L., Su, X., Shi, P., & Qiu, J.
- Venue
- IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics)
- Published
- 2011-02
- Volume
- 41
- Issue
- 1
- Pages
- 273-286
- ISSN
- 1083-4419 (ISSN-L)
- OpenAlex
- W2149899322
- Cited by
- 420
- References
- 13
- FWCI
- 73.29
- Type
- journal article
- Language
- en
- Open access
- closed
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- Wu, L., Su, X., Shi, P., & Qiu, J. (2011). 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, Part B (Cybernetics). https://doi.org/10.1109/tsmcb.2010.2051541
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