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Distributed state estimation for uncertain Markov‐type sensor networks with mode‐dependent distributed delays
Author(s) -
Liang Jinling,
Wang Zidong,
Liu Xiaohui
Publication year - 2012
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.1699
Subject(s) - adjacency matrix , markov chain , estimator , computer science , markov process , wireless sensor network , control theory (sociology) , graph , bounded function , topology (electrical circuits) , state space , state (computer science) , mathematical optimization , distributed computing , mathematics , algorithm , theoretical computer science , control (management) , computer network , mathematical analysis , statistics , combinatorics , machine learning , artificial intelligence
SUMMARY In this paper, the distributed state estimation problem is investigated for a class of sensor networks described by uncertain discrete‐time dynamical systems with Markovian jumping parameters and distributed time‐delays. The sensor network consists of sensor nodes characterized by a directed graph with a nonnegative adjacency matrix that specifies the interconnection topology (or the distribution in the space) of the network. Both the parameters of the target plant and the sensor measurements are subject to the switches from one mode to another at different times according to a Markov chain. The parameter uncertainties are norm‐bounded that enter into both the plant system as well as the network outputs. Furthermore, the distributed time‐delays are considered, which are also dependent on the Markovian jumping mode. Through the measurements from a small fraction of the sensors, this paper aims to design state estimators that allow the nodes of the sensor network to track the states of the plant in a distributed way. It is verified that such state estimators do exist if a set of matrix inequalities is solvable. A numerical example is provided to demonstrate the effectiveness of the designed distributed state estimators. Copyright © 2011 John Wiley & Sons, Ltd.