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Abstrakty
In this paper, we investigate the global uniform practical exponential stability for a class of uncertain Takagi-Sugeno fuzzy systems. The uncertainties are supposed uniformly to be bounded by some known integrable functions to obtain an exponential convergence toward a neighborhood of the origin. Therefore, we use common quadratic Lyapunov function (CQLF) and parallel distributed compensation (PDC) controller techniques to show the global uniform practical exponential stability of the closed-loop system. Numeric simulations are given to validate the proposed approach.
Czasopismo
Rocznik
Tom
Strony
453--481
Opis fizyczny
Bibliogr. 33 poz., wykr., wzory
Twórcy
autor
- University of Sfax, Tunisia, Faculty of Sciences of Sfax, Department of Mathematics
autor
- University of Sfax, Tunisia, Faculty of Sciences of Sfax, Department of Mathematics
autor
- University of Artois, Artois, France
Bibliografia
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- [8] J. Park, J. Kim and D. Park: LMI-based design of stabilizing fuzzy controllers for nonlinear systems described by Takagi-Sugeno fuzzy model. Fuzzy Sets Systems, 122 (2003), 73-82.
- [9] K. Tanaka, T. Ikeda and H. O. Wang: Robust stabilization of a class of uncertain nonlinear systems via fuzzy control: quadratic stabilizability, H∞ control theory and linear matrix inequalities. IEEE Trans. Fuzzy Systems, 4 (1996), 1-13.
- [10] Ligang Wu, Xiaojie Su, Peng Shi and Jianbin Qiu: A new approach to stability analysis and stabilization of discrete-time T-S fuzzy time-varying delay systems. IEEE Trans. on Systems, Man, and Cybernetics- Part B: Cybernetics, 41 (2011), 273-286.
- [11] Ligang Wu, Xiaojie Su, Peng Shi and Jianbin Qiu: Model approximation for discrete-time state-delay systems in the T−S fuzzy framework. IEEE Trans. Fuzzy Systems, 19 (2011), 366-378.
- [12] V. Lakshmikantham, S. Leela and A. A. Martynnyuk: Practical Stability of Nonlinear Systems. World Scientific Singapore, 1990.
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Uwagi
PL
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).
Typ dokumentu
Bibliografia
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