Overlapping resilient H2 filtering for uncertain continuous time systems
Document typeConference report
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Rights accessOpen Access
The paper presents the expansion-contraction relations within the inclusion principle for a class of continuous- time uncertain systems when considering H2 filtering with additive filter uncertainty. Norm bounded uncertainties are considered. The main contribution is the derivation of conditions under which a resilient filter designed in the expanded space is contracted into the initial system preserving simultaneously optimized upper bound for the error variance. An LMI procedure is supplied for resilient full order robust minimum variance filter design. The results are specialized into the overlapping decentralized filter setting. It enables to construct robust resilient H2 filters with block tridiagonal gain matrices.
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CitationBakule, L.; Rodellar, J.; Rossell, J. M. Overlapping resilient H2 filtering for uncertain continuous time systems. A: American Control Conference. "2007 American Control Conference (ACC): New York City, USA: July 11-13, 2007, Montréal, Canada". Institute of Electrical and Electronics Engineers (IEEE), 2007, p. 323-328.