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Research Papers

# $H$∞ Switched Filtering for Networked Systems Based on Delay Occurrence Probabilities1

[+] Author and Article Information
Hui Zhang

e-mail: huizhang@uvic.ca

Yang Shi

e-mail: yshi@uvic.ca

Mingxi Liu

e-mail: mxliu@uvic.ca
Department of Mechanical Engineering,
University of Victoria,
P.O. Box 3055, STN CSC,

1This work was supported by the Natural Sciences and Engineering Research Council of Canada and the Canada Foundation of Innovation.

2Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received July 6, 2012; final manuscript received May 11, 2013; published online August 19, 2013. Assoc. Editor: Won-jong Kim.

J. Dyn. Sys., Meas., Control 135(6), 061002 (Aug 19, 2013) (5 pages) Paper No: DS-12-1208; doi: 10.1115/1.4024606 History: Received July 06, 2012; Revised May 11, 2013

## Abstract

This paper considers the state estimation problem for discrete-time systems in a network environment. Specifically, the network-induced delay from the sensor node to the estimator node is modeled as a finite set of delays with corresponding occurrence probabilities. The design of $H∞$ switched filters is proposed. The switching is performed according to the detected time delay. The occurrence probability of the delay is incorporated into the filter design, which can improve the filtering performance. Simulation studies and comparisons illustrate the effectiveness and the improvement of the proposed design method.

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## Figures

Fig. 1

State estimation for a discrete-time system in a network environment

Fig. 2

Estimation performance of the designed estimators

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