Robust Nonfragile H ∞ Filtering for Uncertain T-S Fuzzy Systems with Interval Delay: A New Delay Partitioning Approach

Joint Authors

Li, Renfa
An, Jiyao
Xia, Xianzhong

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-17, 17 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-09-03

Country of Publication

Egypt

No. of Pages

17

Main Subjects

Mathematics

Abstract EN

This paper investigates the problem of robust nonfragile fuzzy H ∞ filtering for uncertain Takagi-Sugeno (T-S) fuzzy systems with interval time-varying delays.

Attention is focused on the design of a filter such that the filtering error system preserves a prescribed H ∞ performance, where the filter to be designed is assumed to have gain perturbations.

By developing a delay decomposition approach, both lower and upper bound information of the delayed plant states can be taken into full consideration; the proposed delay-fractional-dependent stability condition for the filter error systems is obtained based on the direct Lyapunov method allied with an appropriate and variable Lyapunov-Krasovskii functional choice and with tighter upper bound of some integral terms in the derivation process.

Then, a new robust nonfragile fuzzy H ∞ filter scheme is proposed, and a sufficient condition for the existence of such a filter is established in terms of linear matrix inequalities (LMIs).

Finally, some numerical examples are utilized to demonstrate the effectiveness and reduced conservatism of the proposed approach.

American Psychological Association (APA)

Xia, Xianzhong& Li, Renfa& An, Jiyao. 2014. Robust Nonfragile H ∞ Filtering for Uncertain T-S Fuzzy Systems with Interval Delay: A New Delay Partitioning Approach. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-17.
https://search.emarefa.net/detail/BIM-1014164

Modern Language Association (MLA)

Xia, Xianzhong…[et al.]. Robust Nonfragile H ∞ Filtering for Uncertain T-S Fuzzy Systems with Interval Delay: A New Delay Partitioning Approach. Abstract and Applied Analysis No. 2014 (2014), pp.1-17.
https://search.emarefa.net/detail/BIM-1014164

American Medical Association (AMA)

Xia, Xianzhong& Li, Renfa& An, Jiyao. Robust Nonfragile H ∞ Filtering for Uncertain T-S Fuzzy Systems with Interval Delay: A New Delay Partitioning Approach. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-17.
https://search.emarefa.net/detail/BIM-1014164

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1014164