A Novel Wirtinger-Based Inequality to H∞ Filtering for Discrete-Time Systems with Time-Varying Delay
Joint Authors
Sun, Liankun
Shi, Fengdong
Ma, Kaifan
Wang, Zhangang
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-03-14
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This article is committed to H∞ filtering for linear discrete-time systems with time-varying delay.
The novelty of the paper comes from the consideration of the new Wirtinger-based inequality with double accumulation terms and the idea of delay-partitioning, which guarantees a better asymptotic stability and is less conservative than the celebrated free-weighting matrix or Jensen’s inequality methods.
In combination with the improved Wirtinger-based inequality to handle the modified Lyapunov-Krasovskii (L-K) functionals, a new delay-dependent bound real lemma (BRL) is gained.
In the light of the derived H∞ performance analysis results, the H∞ filter will be designed in response to linear matrix inequality (LMI).
The validness of the proposed methods will be expressed via some numerical examples by the comparison of existing results.
American Psychological Association (APA)
Ma, Kaifan& Wang, Zhangang& Shi, Fengdong& Sun, Liankun. 2019. A Novel Wirtinger-Based Inequality to H∞ Filtering for Discrete-Time Systems with Time-Varying Delay. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1196098
Modern Language Association (MLA)
Ma, Kaifan…[et al.]. A Novel Wirtinger-Based Inequality to H∞ Filtering for Discrete-Time Systems with Time-Varying Delay. Mathematical Problems in Engineering No. 2019 (2019), pp.1-9.
https://search.emarefa.net/detail/BIM-1196098
American Medical Association (AMA)
Ma, Kaifan& Wang, Zhangang& Shi, Fengdong& Sun, Liankun. A Novel Wirtinger-Based Inequality to H∞ Filtering for Discrete-Time Systems with Time-Varying Delay. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1196098
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1196098