Delay-dependent H∞filtering of discrete-time systems with time-invariant delay

Authors:
Liang Dong;Gang Ge;Jianhui Wang;Wenwei Liu
Affiliations:
College of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, China and Key laboratory of manufacturing industrial integrated automation, Shenyang University, Shenya ...;College of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, China;College of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, China;Key laboratory of manufacturing industrial integrated automation, Shenyang University, Shenyang, Liaoning, China
Venue:
CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
Year:
2009

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Abstract

This paper is concerned with the problems of H∞ filtering for discrete-time systems with time-invariant delay. The recent developed parameter-dependent Lyapunov function (PDLF) method is exploited and an slack variable with an particular structure is introduced. As a consequence, sufficient convex linear matrix inequality (LMI) condition is derived to solve the H∞ filter design problem. A numerical example is given to illustrate the effectiveness of the proposed methods.