0
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,
Victoria, BC V8W 3P6, Canada

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

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.

FIGURES IN THIS ARTICLE
<>
Copyright © 2013 by ASME
Your Session has timed out. Please sign back in to continue.

References

Zhang, W., Branicky, M. S., and Phillips, S. M., 2001, “Stability of Networked Control Systems,” IEEE Control Syst. Mag., 21(1), pp. 84–99. [CrossRef]
Hespanha, J. P., Naghshtabrizi, P., and Xu, Y., 2007, “A Survey of Recent Results in Networked Control Systems,” Proc. IEEE, 95(1), pp. 138–162. [CrossRef]
Gao, H., and Chen, T., 2007, “H∞ Estimation for Uncertain Systems With Limited Communication Capacity,” IEEE Trans. Autom. Control, 52(11), pp. 2070–2084. [CrossRef]
Wu, J., and Chen, T., 2007, “Design of Networked Control Systems With Packet Dropouts,” IEEE Trans. Autom. Control, 52(7), pp. 1314–1319. [CrossRef]
Gao, H., Chen, T., and Lam, J., 2008, “A New Delay System Approach to Network-Based Control,” Automatica, 44(1), pp. 39–52. [CrossRef]
Cloosterman, M. B. G., Hetel, L., van de Wouw, N., Heemels, W. P. M. H., Daafouz, J., and Nijmeijer, H., 2010, “Controller Synthesis for Networked Control Systems,” Automatica, 46(10), pp. 1584–1594. [CrossRef]
Yue, D., Han, Q.-L., and Lam, J., 2005, “Network-Based Robust H∞ Control of Systems With Uncertainty,” Automatica, 41(6), pp. 999–1007. [CrossRef]
Shi, Y., and Yu, B., 2009, “Output Feedback Stabilization of Networked Control Systems With Random Delays Modeled by Markov Chains,” IEEE Trans. Autom. Control, 54(7), pp. 1668–1674. [CrossRef]
Yue, D., and Han, Q.-L., 2006, “Network-Based Robust H∞ Filtering for Uncertain Linear Systems,” IEEE Trans. Signal Process, 54(11), pp. 4293–4301. [CrossRef]
Liu, G.-P., 2010, “Predictive Controller Design of Networked Systems With Communication Delays and Data Loss,” IEEE Trans. Circuits Syst., II: Express Briefs, 57(6), pp. 481–485. [CrossRef]
Gao, H., and Chen, T., 2008, “Network-Based H∞ Output Tracking Control,” IEEE Trans. Autom. Control, 53(3), pp. 655–667. [CrossRef]
He, Y., Wu, M., Liu, G.-P., and She, J.-H., 2008, “Output Feedback Stabilization for a Discrete-Time System With a Time-Varying Delay,” IEEE Trans. Autom. Control, 53(10), pp. 2372–2377. [CrossRef]
Li, X., and Gao, H., 2011, “A New Model Transformation of Discrete-Time Systems With Time-Varying Delay and Its Application to Stability Analysis,” IEEE Trans. Autom. Control, 56(9), pp. 2172–2178. [CrossRef]
Song, H., Yu, L., and Zhang, W.-A., 2009, “H∞ Filtering of Network-Based Systems With Random Delay,” Digit. Signal Process., 89(4), pp. 615–622. [CrossRef]
Wang, Z., Liu, Y., and Liu, X., 2008, “h Filtering for Uncertain Stochastic Time-Delay Systems With Sector-Bounded Nonlinearities,” Automatica, 44(5), pp. 1268–1277. [CrossRef]
He, X., Wang, Z., and Zhou, D., 2007, “Robust H∞ Filtering for Networked Systems With Multiple State Delays,” Int. J. Control, 80(8), pp. 1217–1232. [CrossRef]
Sahebsara, M., Chen, T., and Shah, S. L., 2008, “Optimal H∞ Filtering in Networked Control Systems With Multiple Packet Dropouts,” Syst. Control Lett., 57(9), pp. 696–702. [CrossRef]
Sahebsara, M., Chen, T., and Shah, S. L., 2007, “Optimal H2 Filtering in Networked Control Systems With Multiple Packet Dropouts,” IEEE Trans. Autom. Control, 52(8), pp. 1508–1513. [CrossRef]
Moayedi, M., Foo, Y. K., and Soh, Y. C., 2011, “Filtering for Networked Control Systems With Single/Multiple Measurement Packets Subject to Multiple-Step Measurement Delays and Multiple Packet Dropouts,” Int. J. Syst. Sci., 42(3), pp. 335–348. [CrossRef]
Wang, Z., Yang, F., Ho, D. W. C., and Liu, X., 2006, “Robust H∞ Filtering for Stochastic Time-Delay Systems With Missing Measurements,” IEEE Trans. Acoust., Speech, Signal Process., 54(7), pp. 2579–2587. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

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

Grahic Jump Location
Fig. 2

Estimation performance of the designed estimators

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In