Stabilization of quantized systems based on Kalman filter

Yuanqing Xia; Jingjing Yan; Jizong Shang; Mengyin Fu; Bo Liu

doi:10.1016/j.conengprac.2012.04.009

Stabilization of quantized systems based on Kalman filter

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

^*Corresponding author for this work

School of Automation

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

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 language	English
Pages (from-to)	954-962
Number of pages	9
Journal	Control Engineering Practice
Volume	20
Issue number	10
DOIs	https://doi.org/10.1016/j.conengprac.2012.04.009
Publication status	Published - Oct 2012

Keywords

Kalman filtering
Quantization
Stability

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10.1016/j.conengprac.2012.04.009

Cite this

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title = "Stabilization of quantized systems based on Kalman filter",

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.",

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AU - Xia, Yuanqing

AU - Yan, Jingjing

AU - Shang, Jizong

AU - Fu, Mengyin

AU - Liu, Bo

PY - 2012/10

Y1 - 2012/10

N2 - 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.

AB - 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.

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KW - Quantization

KW - Stability

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Stabilization of quantized systems based on Kalman filter

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Keywords

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