期刊
IEEE TRANSACTIONS ON CYBERNETICS
卷 47, 期 11, 页码 3772-3783出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCYB.2016.2582081
关键词
Distributed set-membership filtering; event-based filtering; nonlinear time-varying systems; sensor networks; sensor saturations; unknown but bounded noise
类别
资金
- Royal Society of the U.K.
- National Natural Science Foundation of China [61304010, 61329301]
- Natural Science Foundation of Jiangsu Province [BK20130766]
- Post-Doctoral Science Foundation of China [2014M551598]
- China Post-Doctoral Council
- Alexander von Humboldt Foundation of Germany
In this paper, the distributed set-membership filtering problem is investigated for a class of discrete time-varying system with an event-based communication mechanism over sensor networks. The system under consideration is subject to sector-bounded nonlinearity, unknown but bounded noises and sensor saturations. Each intelligent sensing node transmits the data to its neighbors only when certain triggering condition is violated. By means of a set of recursive matrix inequalities, sufficient conditions are derived for the existence of the desired distributed event-based filter which is capable of confining the system state in certain ellipsoidal regions centered at the estimates. Within the established theoretical framework, two additional optimization problems are formulated: one is to seek the minimal ellipsoids (in the sense of matrix trace) for the best filtering performance, and the other is to maximize the triggering threshold so as to reduce the triggering frequency with satisfactory filtering performance. A numerically attractive chaos algorithm is employed to solve the optimization problems. Finally, an illustrative example is presented to demonstrate the effectiveness and applicability of the proposed algorithm.
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