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Analysis and synthesis of nonlinear time-delay systems via fuzzy control approach
Abstract
Takagi-Sugeno (TS) fuzzy models (1985, 1992) can provide an effective representation of complex nonlinear systems in terms of fuzzy sets and fuzzy reasoning applied to a set of linear input/output (I/O) submodels. In this paper, the TS fuzzy model approach is extended to the stability analysis and control design for both continuous and discrete-time nonlinear systems with time delay. The TS fuzzy models with time delay are presented and the stability conditions are derived using Lyapunov-Krasovskii approach. We also present a stabilization approach for nonlinear time-delay systems through fuzzy state feedback and fuzzy observer-based controller. Sufficient conditions for the existence of fuzzy state feedback gain and fuzzy observer gain are derived through the numerical solution of a set of coupled linear matrix inequalities. An illustrative example based on the CSTR model is given to design a fuzzy controller.
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The 2017 IEEE International Conference on Fuzzy Systems
(2016) · IEEE Computational Intelligence Magazine · doi:10.1109/mci.2016.2545826 · Cited by 308
Jiang, B., Karimi, H. R., Kao, Y., & Gao, C. (2020) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2019.2914005 · Cited by 218
Input Delay Estimation for Input-Affine Dynamical Systems Based on Taylor Expansion
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Metadata
- Authors
- Cao, Y.-Y., & Frank, P. M.
- Venue
- IEEE Transactions on Fuzzy Systems
- Published
- 2000-04
- Volume
- 8
- Issue
- 2
- Pages
- 200-211
- ISSN
- 1063-6706 (ISSN-L)
- OpenAlex
- W2132704240
- Cited by
- 760
- References
- 9
- FWCI
- 13.52
- Type
- journal article
- Language
- en
- Open access
- closed
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