Journal
IEEE TRANSACTIONS ON CYBERNETICS
Volume 50, Issue 1, Pages 2-14Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCYB.2018.2852290
Keywords
Average dwell time (ADT); distributed H-infinity filtering; fading measurements; sensor networks; switched stochastic systems
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Funding
- Research Fund for the Taishan Scholar Project of Shandong Province of China
- Royal Society of the U.K.
- Zhejiang Provincial Natural Science Foundation of China [LR16F030003]
- National Natural Science Foundation of China [61473107, U1509205, 61333009]
- Alexander von Humboldt Foundation of Germany
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This paper is concerned with the problem of distributed H-infinity filtering for switched stochastic time-delay systems with fading measurements over sensor networks. The underlying target plants are subject to fading measurements where the fading rates are described by continuous-time random variables with known statistical properties dependent on the system modes. The adjacency matrices characterizing the topology of the sensor networks arc also allowed to be mode-dependent. Based on the multiple Lyapunov functional approach and average dwell-time concept, the distributed H-infinity filter is designed by means of the convex optimization scheme. A dedicated technique is developed via a simple algebraic equality in order to avoid solving a transcendental equation used in the existing results. With the designed filter, the error dynamics of the state estimation is guaranteed to have the mean-square exponential stability with a prescribed H-infinity disturbance attenuation level. Finally, a numerical example is used to demonstrate the effectiveness of the method.
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