Title
Robust mixed ℋ2/ℋ∞ filtering of 2-D systems
Abstract
This paper deals with several challenging problems of robust filtering for two-dimensional (2-D) systems. First of all, new linear matrix inequality (LMI) characterizations for the ℋ∞ and ℋ2 norms of 2-D systems are introduced and thoroughly established. Based on these preparatory results, convex (LMI) characterizations for robust ℋ∞, ℋ2, and robust mixed ℋ2/ℋ∞ filtering are derived. The efficiency and viability of the proposed techniques and tools are demonstrated through a set of numerical examples
Year
DOI
Venue
2002
10.1109/TSP.2002.1011215
Signal Processing, IEEE Transactions  
Keywords
Field
DocType
H∞ optimisation,filtering theory,matrix algebra,two-dimensional digital filters,2D filters,2D systems,convex LMI characterizations,linear matrix inequality,robust filtering,robust mixed ℋ2/ℋ∞ filtering,two-dimensional systems
H-infinity methods in control theory,Signal processing,Mathematical optimization,Control theory,Filter (signal processing),Regular polygon,Robust filtering,Robust control,Mathematics,Linear matrix inequality
Journal
Volume
Issue
ISSN
50
7
1053-587X
Citations 
PageRank 
References 
24
3.19
3
Authors
4
Name
Order
Citations
PageRank
Hoang D. Tuan11936191.03
Pierre Apkarian2635108.90
Nguyen, T.Q.31005168.61
Tatsuo Narikiyo4243.19