Stabilization of quantized systems based on Kalman filter

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

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
StatePublished - Oct 2012
Externally publishedYes

Bibliographical note

Funding Information:
The authors would like to thank the referees for their valuable and helpful comments which have improved the presentation. The work of Yuanqing Xia was supported by the National Basic Research Program of China (973 Program) ( 2012CB720000 ), the National Natural Science Foundation of China ( 60974011 ), Program for New Century Excellent Talents in University of China ( NCET-08-0047 ), the Ph.D. Programs Foundation of Ministry of Education of China ( 20091101110023, 20111101110012 ), and Program for Changjiang Scholars and Innovative Research Team in University, and Beijing Municipal Natural Science Foundation ( 4102053, 4101001 ).

Keywords

  • Kalman filtering
  • Quantization
  • Stability

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Applied Mathematics

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