Title :
Robust mixed ℋ2/ℋ∞ filtering of 2-D systems
Author :
Tuan, Hoang Duong ; Apkarian, Pierre ; Nguyen, Truong Q. ; Narikiyo, Tatsuo
Author_Institution :
Dept. of Electr. & Comput. Eng., Toyota Technol. Inst., Nagoya, Japan
fDate :
7/1/2002 12:00:00 AM
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
Keywords :
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; Associate members; Filtering; Frequency estimation; IIR filters; Kalman filters; Linear matrix inequalities; Robustness; State estimation; Two dimensional displays; White noise;
Journal_Title :
Signal Processing, IEEE Transactions on
DOI :
10.1109/TSP.2002.1011215
