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Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/4032

Title: Robust H∞ filtering for time-delay systems with probabilistic sensor faults
Authors: He, X
Wang, Z
Zhou, D
Keywords: Robust H∞ Filtering
Linear Matrix Inequality (LMI)
Parameter Uncertainties
Sensor Gain Reduction
Publication Date: 2009
Publisher: IEEE
Citation: IEEE on Signal Processing Letters, 16 (5): 442-445
Abstract: In this paper, a new robust H∞ filtering problem is investigated for a class of time-varying nonlinear system with norm-bounded parameter uncertainties, bounded state delay, sector-bounded nonlinearity and probabilistic sensor gain faults. The probabilistic sensor reductions are modeled by using a random variable that obeys a specific distribution in a known interval [alpha,beta], which accounts for the following two phenomenon: 1) signal stochastic attenuation in unreliable analog channel and 2) random sensor gain reduction in severe environment. The main task is to design a robust H∞ filter such that, for all possible uncertain measurements, system parameter uncertainties, nonlinearity as well as time-varying delays, the filtering error dynamics is asymptotically mean-square stable with a prescribed H∞ performance level. A sufficient condition for the existence of such a filter is presented in terms of the feasibility of a certain linear matrix inequality (LMI). A numerical example is introduced to illustrate the effectiveness and applicability of the proposed methodology.
Description: Copyright [2009] IEEE. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of Brunel University's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.
URI: http://bura.brunel.ac.uk/handle/2438/4032
DOI: http://dx.doi.org/10.1109/LSP.2009.2016730
ISSN: 1070-9908
Appears in Collections:Information Systems and Computing
School of Information Systems, Computing and Mathematics Research Papers

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