Stabilization of quantized systems based on Kalman filter

Yuanqing Xia*, Jingjing Yan, Jizong Shang, Mengyin Fu, Bo Liu

*Corresponding author for this work

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Abstract

This paper is concerned with the design and stability analysis of networked control systems with quantization effect and noisy measurement. Quantization strategy used here is a traditional uniform one, and Kalman filter is applied to obtain the estimated states. Under some assumptions and conditions, a sufficient condition is given for the closed-loop system to be stable based on Lyapunov theory and invariable set theory. Two examples are given to show the effectiveness of the main results.

Original languageEnglish
Pages (from-to)954-962
Number of pages9
JournalControl Engineering Practice
Volume20
Issue number10
DOIs
Publication statusPublished - Oct 2012

Keywords

  • Kalman filtering
  • Quantization
  • Stability

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Xia, Y., Yan, J., Shang, J., Fu, M., & Liu, B. (2012). Stabilization of quantized systems based on Kalman filter. Control Engineering Practice, 20(10), 954-962. https://doi.org/10.1016/j.conengprac.2012.04.009