A Novel Approach to ℓ2-ℓ∞ Filter Design for T-S Fuzzy Systems with Multiple Time-Varying Delays
Joint Authors
Zhang, Xiao-Yu
Zeng, Yi
Gong, Cheng
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-30
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper investigates the ℓ2-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 ℓ2-ℓ∞-disturbance attenuation is presented, in which both stability and prescribed ℓ2-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 ℓ2-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.
American Psychological Association (APA)
Zhang, Xiao-Yu& Gong, Cheng& Zeng, Yi. 2013. A Novel Approach to ℓ2-ℓ∞ Filter Design for T-S Fuzzy Systems with Multiple Time-Varying Delays. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-1031786
Modern Language Association (MLA)
Zhang, Xiao-Yu…[et al.]. A Novel Approach to ℓ2-ℓ∞ Filter Design for T-S Fuzzy Systems with Multiple Time-Varying Delays. Mathematical Problems in Engineering No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-1031786
American Medical Association (AMA)
Zhang, Xiao-Yu& Gong, Cheng& Zeng, Yi. A Novel Approach to ℓ2-ℓ∞ Filter Design for T-S Fuzzy Systems with Multiple Time-Varying Delays. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-1031786
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1031786