Circuits, Systems, and Signal Processing

, Volume 31, Issue 2, pp 501–519

Quantized H Filtering for Different Communication Channels

  • Renquan Lu
  • Hui Li
  • Anke Xue
  • Jinchuan Zheng
  • Qingshan She
Article

DOI: 10.1007/s00034-011-9323-8

Cite this article as:
Lu, R., Li, H., Xue, A. et al. Circuits Syst Signal Process (2012) 31: 501. doi:10.1007/s00034-011-9323-8

Abstract

In this paper, we consider the H filtering problem for linear systems using quantized measurements. The communication channel we consider consists of two cases: the ideal one and the unreliable one. For the ideal channel, we designed a filter to mitigate the quantization effects, which ensured not only the asymptotical stability but also a prescribed H filtering performance. For the unreliable channel, we introduced the stochastic variable satisfying Bernoulli random binary distribution to model the lossy measurements. We also designed a filter to cope with the losses and mitigate quantization effects simultaneously which ensured not only stochastic stability, but also a prescribed H filtering performance. Furthermore, we derive sufficient conditions for the existence of the above filters. Finally, a numerical example is given to illustrate that the proposed approach is effective and feasible.

Keywords

H filterQuantizerIdeal channelUnreliable channelData packet dropout

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  • Renquan Lu
  • Hui Li
    • 1
  • Anke Xue
    • 1
  • Jinchuan Zheng
    • 2
  • Qingshan She
    • 1
  1. 1.Institute of Information and ControlHangzhou Dianzi UniversityHangzhouP.R. China
  2. 2.School of Electrical Engineering and Computer ScienceUniversity of NewcastleCallaghanAustralia