Technical communique: H∞ filtering for discrete-time systems with randomly varying sensor delays

Authors:
Shaosheng Zhou;Gang Feng
Affiliations:
Institute of Information and Control, School of Automation, Hangzhou Dianzi University, Hangzhou 310018, PR China;Department of Mechanical Engineering and Engineering Management, City University of Hong Kong, Hong Kong
Venue:
Automatica (Journal of IFAC)
Year:
2008

Citing 4
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Correspondence: Comments on "H∞ filtering for discrete-time systems with randomly varying sensor delays"

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Correspondence: Comments and improved results on "H∞ filtering for discrete-time systems with randomly varying sensor delays"

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Abstract

This paper investigates an H"~ filtering problem for discrete-time systems with randomly varying sensor delays. The stochastic variable involved is a Bernoulli distributed white sequence appearing in measured outputs. This measurement mode can be used to characterize the effect of communication delays and/or data-loss in information transmissions across limited bandwidth communication channels over a wide area. H"~ filtering of this class of systems is used to design a filter using the measurements with random delays to ensure the mean-square stochastic stability of the filtering error system and to guarantee a prescribed H"~ filtering performance. A sufficient condition for the existence of such a filter is presented in terms of the feasibility of a linear matrix inequality (LMI). Finally, a numerical example is given to illustrate the effectiveness of the proposed approach.