Table of Contents Author Guidelines Submit a Manuscript
Journal of Control Science and Engineering
Volume 2018, Article ID 8198603, 17 pages
Research Article

Nonfragile Filter Design for Nonlinear Continuous-Time System with Interval Time-Varying Delay

1College of Mechatronic Engineering, Qiqihar University, Qiqihar 161006, China
2College of Computer Science and Technology, Harbin University of Science and Technology, Harbin 150080, China
3State Grid Heilongjiang Electric Power Company Qiqihar Power Supply Company, Qiqihar 161006, China

Correspondence should be addressed to Zhongda Lu; moc.361@adgnohzul

Received 9 May 2018; Revised 18 July 2018; Accepted 2 August 2018; Published 5 September 2018

Academic Editor: Jongrae Kim

Copyright © 2018 Zhongda Lu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper investigates nonfragile filter design for a class of continuous-time delayed Takagi-Sugeno (T-S) fuzzy systems with interval time-varying delays. Filter parameters occur multiplicative gain variations according to the filter’s implementation, to handle this variations, a nonfragile filter is presented and a novel filtering error system is established. The nonfragile filter guarantees the filtering error system to be asymptotically stable and satisfies given performance index. By constructing a novel Lyapunov-Krasovskii function and using the linear matrix inequality (LMI), delay-dependent conditions are exploited to derive sufficient conditions for nonfragile designing filter. Using new matrix decoupling method to reduce the computational complexity, the filter parameters can be obtained by solving a set of linear matrix inequalities (LMIs). Finally, numerical examples are given to show the effectiveness of the proposed method.