title: Further improved stability criteria for uncertain T-S fuzzy systems with time-varying delay by (m,N)-delay-partitioning approach.
abstract: This paper mainly focuses on the robust stability criteria for uncertain T-S fuzzy systems with time-varying delay by (m,N)-delay-partitioning approach. A modified augmented LKF is established by partitioning the delay in all integral terms. Via taking into account of (i) the relationship between each subinterval and time-varying delay and (ii) the independent upper bounds of the delay derivative in the various delay intervals, some new results on tighter bounding inequalities such as Peng-Park׳s integral inequality and Free-Matrix-based integral inequality are introduced to effectively reduce the enlargement in bounding the derivative of LKF as much as possible, therefore, significant less conservative results can be expected in terms of es and LMIs, which can be solved efficiently with the Matlab LMI toolbox. Furthermore, it is worth mentioning that, when the delay-partitioning number m is fixed, the conservatism is gradually reduced with the increase of another delay-partitioning number N, but without increasing any computing burden. Finally, two numerical examples are included to show that the proposed method is less conservative than existing ones.
authors.affiliation: College of Computer Science, Civil Aviation Flight University of China, Guanghan, Sichuan 618307, PR China. Electronic address: yj_uestc@126.com.
authors.forename: Jun
authors.initials: J
authors.lastname: Yang
authors.affiliation: College of Science, Sichuan University of Science and Engineering, Zigong, Sichuan 643000, PR China. Electronic address: luowenp@126.com.
authors.forename: Wen-Pin
authors.initials: WP
authors.lastname: Luo
authors.affiliation: College of Flight Technology, Civil Aviation Flight University of China, Guanghan, Sichuan 618307, PR China. Electronic address: wangyonghucn@163.com.
authors.forename: Yong-Hu
authors.initials: YH
authors.lastname: Wang
authors.affiliation: School of Science, Hubei University for Nationalities, Enshi, Hubei 445000, PR China. Electronic address: jcheng6819@126.com.
authors.forename: Jun
authors.initials: J
authors.lastname: Cheng
keywords: -delay-partitioning approach; Free-Matrix-based integral inequality (FMII); Linear matrix inequalities (LMIs); Lyapunov–Krasovskii functional (LKF); Stability; Takagi–Sugeno (T–S) fuzzy systems; Time-varying Delay