Optimal linear estimation for networked systems with communication constraints

Authors:
Wen-An Zhang;Li Yu;Gang Feng
Affiliations:
Department of Automation, Zhejiang University of Technology, and the Zhejiang Provincial United Key Laboratory of Embedded Systems, Hangzhou 310023, China and Department of Manufacturing Engineeri ...;Department of Automation, Zhejiang University of Technology, and the Zhejiang Provincial United Key Laboratory of Embedded Systems, Hangzhou 310023, China;Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Hong Kong, China
Venue:
Automatica (Journal of IFAC)
Year:
2011

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Abstract

This paper is concerned with the optimal linear estimation problem for discrete time-varying networked systems with communication constraints. The communication constraint considered is that only one network node is allowed to gain access to a shared communication channel, then the various network nodes of the networked systems are scheduled to transmit data according to a specified media access control protocol, and a remote estimator performs the estimation task with only partially available measurements. The channel accessing processes of those network nodes are modeled by Bernoulli processes, and optimal linear filters are designed by using the orthogonal projection principle and the innovation analysis approach. It is shown that the optimal estimation performances critically depend on the channel accessing probabilities of the network nodes and the packet loss probability, and the optimal filters can be obtained by solving recursive Lyapunov and Riccati equations. An illustrative example is finally given to show the effectiveness of the proposed filters.