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White noise estimators for networked systems with packet dropouts

  • Control Theory
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Abstract

This paper studies the optimal and suboptimal deconvolution problems over a network subject to random packet losses, which are modeled by an independent identically distributed Bernoulli process. By the projection formula, an optimal input white noise estimator is first presented with a stochastic Kalman filter. We show that this obtained deconvolution estimator is time-varying, stochastic, and it does not converge to a steady value. Then an alternative suboptimal input white-noise estimator with deterministic gains is developed under a new criterion. The estimator gain and its respective error covariance-matrix information are derived based on a new suboptimal state estimator. It can be shown that the suboptimal input white-noise estimator converges to a steady-state one under appropriate assumptions.

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Authors and Affiliations

  1. School of Electrical Engineering, University of Jinan, Jinan, 250022, P. R. China

    Chunyan Han

  2. School of Control Science and Engineering, Shandong University, Jinan, 250061, P. R. China

    Wei Wang

  3. Shandong Provincial Key Laboratory of Network Based Intelligent Computing, Jinan, 250022, P. R. China

    Yuan Zhang

Authors
  1. Chunyan Han
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  2. Wei Wang
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  3. Yuan Zhang
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Corresponding author

Correspondence to Chunyan Han.

Additional information

Recommended by Editorial Board member Young Soo Suh under the direction of Editor Zengqi Sun.

This journal was supported by the National Nature Science Foundation of China (61104050, 61203029), the Natural Science Foundation of Shandong Province (ZR2011FQ020), the Research Fund for the Doctoral Program of Higher Education of China (20120131120058), and the Project of Shandong Province Higher Educational Science and Technology Program (J12LN18).

Chunyan Han received her Ph.D. degree in Control Theory and Control Engineering from Shandong University in 2010. She is currently a lecturer at the School of Electrical Engineering, University of Jinan. Her research interest covers optimal control and estimation, time delay systems, and Markov jump linear systems.

Wei Wang received his Ph.D. degree in Control Science and Engineering from Shenzhen Graduate School, Harbin Institute of Technology, in 2010. He is currently a Lecturer at Shandong University, Jinan Shandong, China. His research interests include optimal control and estimation for delayed systems, distributed control and estimation.

Yuan Zhang is currently working as an Associate Professor at University of Jinan, China. He received his M.Sc. degree in Communication Systems and Ph.D. in Control Theory & Engineering both from Shandong University, China, in 2003 and 2012 respectively. As the first author or corresponding author he has published more than 20 peer reviewed technical papers in archival journals and conference proceedings, including IEEE Communications Letters, Elsevier Ad Hoc Networks, etc. He has served as Corresponding Guest Editor for a special issue of International Journal of Ad Hoc and Ubiquitous Computing. His research interests are in wireless networks and optimal estimation, currently focusing on wireless sensor networks and smartphone sensing. He is a member of IEEE.

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Han, C., Wang, W. & Zhang, Y. White noise estimators for networked systems with packet dropouts. Int. J. Control Autom. Syst. 11, 1187–1195 (2013). https://doi.org/10.1007/s12555-012-0451-0

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  • DOI: https://doi.org/10.1007/s12555-012-0451-0

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