Distributed Event-Based Set-Membership Filtering for a Class of Nonlinear Systems with Sensor Saturations over Sensor Networks

Lifeng Ma, Zidong Wang, Hak Keung Lam, Nikos Kyriakoulis

Research output: Contribution to journalArticlepeer-review

162 Citations (Scopus)
586 Downloads (Pure)

Abstract

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.

Original languageEnglish
Article number7505990
Pages (from-to)3772-3783
Number of pages12
JournalIEEE Transactions on Cybernetics
Volume47
Issue number11
Early online date6 Jul 2016
DOIs
Publication statusPublished - 1 Nov 2017

Keywords

  • Distributed set-membership filtering
  • event-based filtering
  • nonlinear time-varying systems
  • sensor networks
  • sensor saturations
  • unknown but bounded noise

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