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Download fileH-infinity filtering for uncertain stochastic time-delay systems with sector-bounded nonlinearities
In this paper, we deal with the robust H∞ filtering problem for a class of uncertain nonlinear time-delay stochastic systems. The system under consideration contains parameter uncertainties, Itoˆ-type stochastic disturbances, time-varying delays, as well as sector-bounded nonlinearities. We aim at designing a full-order filter such that, for all admissible uncertainties, nonlinearities and time delays, the dynamics of the filtering error is guaranteed to be robustly asymptotically stable in the mean square, while achieving the prescribed H∞ disturbance rejection attenuation level. By using the Lyapunov stability theory and Itoˆ's differential rule, sufficient conditions are first established to ensure the existence of the desired filters, which are expressed in the form of a linear matrix inequality (LMI). Then, the explicit expression of the desired filter gains is also characterized. Finally, a numerical example is exploited to show the usefulness of the results derived.
Funding
Category 1 - Australian Competitive Grants (this includes ARC, NHMRC)
History
Volume
44Issue
5Start Page
1268End Page
1277Number of Pages
10ISSN
0005-1098Location
United KingdomPublisher
Elsevier LtdPublisher DOI
Full Text URL
Language
en-ausPeer Reviewed
- Yes
Open Access
- No
Era Eligible
- Yes