Robust stability analysis of uncertain T-S fuzzy systems with time-varying delay by improved delay-partitioning approach. (English) Zbl 1327.93254

Yang, Jun; Luo, Wen-Pin; Shi, Kai-Bo; Zhao, Xin

J. Nonlinear Sci. Appl. 9, No. 1, 171-185 (2016).

Summary: 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 esand LMIs. Finally, two numerical examples are provided to show that the proposed conditions are less conservative than existing ones.

MSC:

93C42	Fuzzy control/observation systems
93D20	Asymptotic stability in control theory

Keywords:

T-S fuzzy systems; time-varying delay; delay-partitioning approach; stability; Lyapunov-krasovskii functional (LKF); linear matrix inequalities (LMIs)