Title :
Robust mixed generalized H2/H∞ filtering of 2-D nonlinear fractional transformation systems
Author :
Hoang, Nguyen Thien ; Tuan, Hoang Duong ; Nguyen, Truong Quang ; Hosoe, Shigeyuki
Author_Institution :
Dept. of Electron.-Mech. Eng., Nagoya Univ., Japan
Abstract :
This study considers robust filtering problems for uncertain two dimensional (2-D) discrete systems in nonlinear fractional transformation (NFT) representations. Like one-dimensional (1-D) systems, the NFT in this paper serves to complement the linear fractional transformation (LFT). Linear matrix inequality (LMI) formulations are given to analyze as well as synthesize robust filters. Numerical examples show the advantage of the NFT over the LFT in terms of not only computational savings but also substantial performance gains and verify the efficiency of the proposed techniques.
Keywords :
filtering theory; linear matrix inequalities; multidimensional signal processing; nonlinear filters; 2D nonlinear fractional transformation systems; LMI; linear matrix inequality; robust mixed generalized H2-H∞ filtering; two dimensional discrete systems; Australia; Boundary conditions; Filtering; Linear matrix inequalities; Nonlinear filters; Performance gain; Robustness; Signal processing; Symmetric matrices; Two dimensional displays; Linear fractional transformation (LFT); linear matrix inequality (LMI); nonlinear fractional transformation (NFT); robust filtering; two-dimensional (2-D) systems;
Journal_Title :
Signal Processing, IEEE Transactions on
DOI :
10.1109/TSP.2005.859259
