Filtering of interval type-2 fuzzy time-delay systems under a unified frame

Article type: Research Article

Authors: Cheng, Guanhong | Liu, Kai | Zhao, Tao^{; *}

Affiliations: School of Electrical Engineering and Information, Sichuan University, Chengdu, China

Correspondence: [*] Corresponding author. Tao Zhao, School of Electrical Engineering and Information, Sichuan University, Chengdu 610065, China. Tel./Fax: +86 28 85405614; E-mail: zhaotaozhaogang@scu.edu.cn.

Abstract: This study investigates the problems of filter design for nonlinear time-delay systems with parameter uncertainties under a unified frame. The nonlinear systems subjected to parameter uncertainties are represented by an interval type-2 (IT2) Takagi-Sugeno (T-S) fuzzy time-delay model. A novel IT2 fuzzy filter is designed by establishing a Lyapunov-Krasovskii function, so that the filtering error system can guarantee the passive, dissipative, H∞ and L2 - L∞ performance indexes under a unified frame. The proposed criterion is presented via linear matrix inequalities (LMIs). Two numerical examples are given to demonstrate the capability of the suggested results.

Keywords: Interval type-2 T-S fuzzy systems, time-delay, filtering, unified frame

DOI: 10.3233/JIFS-162338

Journal: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 2, pp. 1027-1039, 2017