A Novel Approach to ℓ2-ℓ∞ Filter Design for T-S Fuzzy Systems with Multiple Time-Varying Delays. (30th September 2013)

• Record Type: Journal Article
• Authors: Zhang, Xiaoyu; Gong, Cheng; Zeng, Zhen
• Other Names: Feng Zhiguang Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2013(2013)
• Publication Date: 2013-09-30
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2013/298268
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : This paper investigates the ℓ 2 -ℓ ∞ filtering problem of T-S fuzzy systems with multiple time-varying delays. First, by the Lyapunov-Krasovskii functional approach and free-weighting matrix method, a delay-dependent sufficient condition on ℓ 2 -ℓ ∞ -disturbance attenuation is presented, in which both stability and prescribed ℓ 2 -ℓ ∞ performance are required to be achieved for the filtering-error systems. Then, based on the condition, the full-order and reduced-order delay-dependent ℓ 2 -ℓ ∞ filter design schemes for T-S fuzzy multiple time-varying delays systems are developed in terms of linear matrix inequality (LMI). Finally, an example is given to illustrate the effectiveness of the result.