期刊
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
卷 62, 期 9, 页码 4784-4790出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2017.2689722
关键词
Dissipation matrix; distributed filtering; H-infinity-consensus; local augmented dynamics; stochastic vector dissipativity
资金
- Alexander von Humboldt Foundation of Germany
- National Natural Science Foundation of China [61374039, 61573246, 61403254]
This paper is concerned with the distributed H-infinity-consensus filtering problem for a class of discrete time-varying systems with stochastic nonlinearities and multiple missing measurements. The stochastic nonlinearities are formulated by statistical means and the missing measurements are characterized by a set of random variables obeying Bernoulli distribution. A novel H-infinity-consensus performance index is proposed to measure both the filtering accuracy of every node and the consensus among neighbor nodes. Then, a new concept called stochastic vector dissipativity is proposed wherein the dissipation matrix is formulated by a nonsingular substochastic matrix, which is skillfully constructed by a new defined interval function on the out-degree. A set of local sufficient conditions in terms of the recursive linear matrix inequalities is presented for each node such that the proposed H-infinity-consensus performance can be guaranteed for the local augmented dynamics over the finite horizon. Furthermore, a novel algorithm proposed here can be implemented on each node. Finally, an illustrative simulation is presented to demonstrate the effectiveness and applicability of the proposed algorithm.
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