Robust stability analysis of uncertain T-S fuzzy systems with time-varying delay by improved delay-partitioning approach


Authors

Jun Yang - College of Computer Science, Civil Aviation Flight University of China, Guanghan, Sichuan 618307, P. R. China. Wen-Pin Luo - College of Science, Sichuan University of Science and Engineering, Zigong, Sichuan 643000, P. R. China. Kai-Bo Shi - Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1. Xin Zhao - Postgraduate Department, Civil Aviation Flight University of China, Guanghan, Sichuan, 618307, P. R. China.


Abstract

This paper focuses on the robust stability criteria of uncertain T-S fuzzy systems with time-varying delay by an improved delay-partitioning approach. An appropriate augmented Lyapunov-Krasovskii functional (LKF) is established by partitioning the delay in all integral terms. Since the relationship between each subinterval and time-varying delay has been taken a full consideration, and some tighter bounding inequalities are employed to deal with (time-varying) delay-dependent integral items of the derivative of LKF, less conservative delay-dependent stability criteria can be expected in terms of \(e_s\) and LMIs. Finally, two numerical examples are provided to show that the proposed conditions are less conservative than existing ones.


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ISRP Style

Jun Yang, Wen-Pin Luo, Kai-Bo Shi, Xin Zhao, Robust stability analysis of uncertain T-S fuzzy systems with time-varying delay by improved delay-partitioning approach, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 1, 171--185

AMA Style

Yang Jun, Luo Wen-Pin, Shi Kai-Bo, Zhao Xin, Robust stability analysis of uncertain T-S fuzzy systems with time-varying delay by improved delay-partitioning approach. J. Nonlinear Sci. Appl. (2016); 9(1):171--185

Chicago/Turabian Style

Yang, Jun, Luo, Wen-Pin, Shi, Kai-Bo, Zhao, Xin. "Robust stability analysis of uncertain T-S fuzzy systems with time-varying delay by improved delay-partitioning approach." Journal of Nonlinear Sciences and Applications, 9, no. 1 (2016): 171--185


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