Solutions for H_{\infty} Filtering of Two-DimensionalSystems

Authors:
Chunling Du;Lihua Xie;Cishen Zhang
Affiliations:
School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798;School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798;Department of Electrical and Electronic Engineering, The University of Melbourne, Parkville, Vic. 3052, Australia
Venue:
Multidimensional Systems and Signal Processing
Year:
2000

Citing 3
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Brief paper: Robust finite frequency H∞ filtering for uncertain 2-D Roesser systems

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Abstract

Thispaper deals with the H_{\infty} filtering problemfor linear discrete-time two-dimensional (2-D) systems describedby the Roesser model. It firstly establishes a version of thebounded real lemma to give a sufficient condition for quantificationof the H_\infty noise attenuation for 2-D systems.Based on the bounded real lemma, the H_\infty filteringproblem is investigated for filters of an observer-based structureor a general state equation form and the solutions are obtainedin terms of Riccati inequalities or linear matrix inequalities.The design approach is illustrated by an example of a stationaryfield in image processing.