Robust l2-l∞ Filtering for Discrete-Time Delay Systems
Joint Authors
Yu, Zhandong
Yang, Chengming
Feng, Zhiguang
Wang, Pinchao
Yu, Zhen
Karimi, Hamid Reza
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-05
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The problem of robust l2-l∞ filtering for discrete-time system with interval time-varying delay and uncertainty is investigated, where the time delay and uncertainty considered are varying in a given interval and norm-bounded, respectively.
The filtering problem based on the l2-l∞ performance is to design a filter such that the filtering error system is asymptotically stable with minimizing the peak value of the estimation error for all possible bounded energy disturbances.
Firstly, sufficient l2-l∞ performance analysis condition is established in terms of linear matrix inequalities (LMIs) for discrete-time delay systems by utilizing reciprocally convex approach.
Then a less conservative result is obtained by introducing some variables to decouple the Lyapunov matrices and the filtering error system matrices.
Moreover, the robust l2-l∞ filter is designed for systems with time-varying delay and uncertainty.
Finally, a numerical example is given to demonstrate the effectiveness of the filter design method.
American Psychological Association (APA)
Yang, Chengming& Yu, Zhandong& Wang, Pinchao& Yu, Zhen& Karimi, Hamid Reza& Feng, Zhiguang. 2013. Robust l2-l∞ Filtering for Discrete-Time Delay Systems. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1031872
Modern Language Association (MLA)
Yang, Chengming…[et al.]. Robust l2-l∞ Filtering for Discrete-Time Delay Systems. Mathematical Problems in Engineering No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-1031872
American Medical Association (AMA)
Yang, Chengming& Yu, Zhandong& Wang, Pinchao& Yu, Zhen& Karimi, Hamid Reza& Feng, Zhiguang. Robust l2-l∞ Filtering for Discrete-Time Delay Systems. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1031872
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1031872