Free-weighting matrices approach to H∞filtering for a class of uncertain linear systems with time-varying delay

Authors:
Zhang Jinxian;Wang Wu;Cui Fujun;Yang Fuwen
Affiliations:
College of Electrical Engineering and Automation, Fuzhou University, Fuzhou, China;College of Electrical Engineering and Automation, Fuzhou University, Fuzhou, China and Fujian Key Laboratory of Medical Instrumentation and Pharmaceutical Technology, Fuzhou, China;School of Information Science and Engineering, East China University of Science and Technology, Shanghai, China;School of Information Science and Engineering, East China University of Science and Technology, Shanghai, China
Venue:
CCDC'09 Proceedings of the 21st annual international conference on Chinese Control and Decision Conference
Year:
2009

Citing 7
Cited 0

Brief paper: Robust H∞ filtering for a class of uncertain linear systems with time-varying delay

Automatica (Journal of IFAC)
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Abstract

This paper investigates the problem of delay-dependent robust H∞ filtering for uncertain linear systems with time-varying delay. Given a stable system with parameter uncertainties residing in a polytope with s vertices, the focus is on designing a robust H∞ filter such that the filtering error system is robustly asymptotically stable with a prescribed H∞ noise attenuation level. The main technique used is the free-weighting matrix method by considering the additional useful terms. As a result, an improved linear matrix inequality-based delay-dependent stability criterion is obtained, which is less conservative. Finally, two examples have been presented to illustrate the effectiveness of the proposed methodology.