Journal
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
Volume 43, Issue 3-4, Pages 254-266Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/03081079.2014.883711
Keywords
distributed filtering; sensor networks; fading channels; randomly occurring uncertainties
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Funding
- National Natural Science Foundation of China [61374127, 61004067]
- Postdoctoral Scientific Research Fund of Heilongjiang Province of China [LBH-Q12143]
- Scientific and Technical Research Project of the Education Department of Heilongjiang Province [12511014]
- Alexander von Humboldt Foundation of Germany
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This paper is concerned with the distributed filtering problem for a class of uncertain stochastic systems with fading channels over sensor networks. The norm-bounded uncertainty enters into the system in a random way, and the Bernoulli distributed white sequence is introduced to govern the random occurrences of such uncertainties. The lossy sensor network suffers from the phenomenon of fading measurements that are described by a modified lth-order Rice fading model in which the channel coefficients can have any probability density function on the interval [0, 1]. Through available output measurements from not only the individual sensor but also its neighboring sensors, a sufficient condition is established for the desired distributed filter to ensure that the filtering dynamics is exponentially mean-square stable and the prescribed performance constraint is satisfied. The distributed filter gains are characterized by solving an auxiliary convex optimization problem. Finally, a simulation example is provided to show the effectiveness of the proposed filtering scheme.
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