A Linear Least Square with Duffing Chaotic Detection Designed in Micro-Distance Movement Measurement System

Xiao Lin; Yaping Dai; Linhui Zhao

doi:10.20965/jaciii.2016.p0287

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JACIII Vol.20 No.2 pp. 287-293

doi: 10.20965/jaciii.2016.p0287

(2016)

Paper:

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A Linear Least Square with Duffing Chaotic Detection Designed in Micro-Distance Movement Measurement System

Xiao Lin^, Yaping Dai^, and Linhui Zhao^**

^*School of Automation, Beijing Institute of Technology
No.5 Zhongguancun South Street, Haidian District, Beijing 100081, China

^**School of Mechatronics, Beijing Union University
Baijiazhuang Xili Street, Chaoyang District, Beijing 100020, China

Received:

November 10, 2015

Accepted:

December 10, 2015

Online released:

March 18, 2016

Published:

March 20, 2016

Keywords:

Duffing, chaos detection system, capacitance sensor, weak signal detection

Abstract

High precision micro displacement measurement framework is fundamental for drilling strain gauges. We replaced the traditional lock-in amplifier method by the linear least square (LLS) based on Duffing chaotic detection (DCD) in drilling strain gauges. Simulation results showed that LLS based on DCD has a relative error 7.7% when SNR = −20.79 dB. It is 410.1% lower than lock-in amplifier method in the detection. Even more, the design and realization of LLS based on DCD is easier than lock-in amplifier method.

Cite this article as:

X. Lin, Y. Dai, and L. Zhao, “A Linear Least Square with Duffing Chaotic Detection Designed in Micro-Distance Movement Measurement System,” J. Adv. Comput. Intell. Intell. Inform., Vol.20 No.2, pp. 287-293, 2016.

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References

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[8] Y.-Z. Bai, Z.-B. Zhou, H.-B. Tu, S.-C. Wu, L. Cai, L. Liu, and J. Luo, “Capacitive position measurement for high-precision space inertial sensor,” Frontiers of Physics in China, Vol.4, No.2, pp. 205-208, 2009.

This article is published under a Creative Commons Attribution-NoDerivatives 4.0 Internationa License.

[1] [1] W.-P. Li, L.-T. Li, and P.-F. Wu, “Research on sinusoidal excitation source of capacitive micrometer for airborne gravity measurement system based on DDS technology,” J. of Geodesy and Geodynamics, Vol.S2, pp. 84-87, 2013.

[2] [2] J.-Z. Gao, “Detection of weak signals,” Beijing: Tsinghua University Press, 2011.

[3] [3] C.-Y. Nie, “Chaotic Systems and Detection of Weak Signals,” Beijing: Tsinghua University Press, 2009.

[4] [4] Y. Li, B.-J. Yang, “An Introduction to The Chaotic Detection,” Beijing: Publishing House Of Electronics Industry, 2004.

[5] [5] G. Wang, D. Chen, J. Lin, and X. Chen, “The application of chaotic oscillators to weak signal detection,” IEEE Trans. on Industrial Electronics, Vol.46, No,2, pp. 440- 444, April 1999.

[6] [6] P. Lu and Y. Li, “An inproved scheme of estimation of amplitude of a weak signal by chaotic method,” Acta Electronica Sinica, Vol.3, No.33, pp. 257-259, 2005.

[7] [7] X.-P. Zhou, “Sensors and Measurement Technologies,” Beijing: Tsinghua University Press, 2010.

[8] [8] Y.-Z. Bai, Z.-B. Zhou, H.-B. Tu, S.-C. Wu, L. Cai, L. Liu, and J. Luo, “Capacitive position measurement for high-precision space inertial sensor,” Frontiers of Physics in China, Vol.4, No.2, pp. 205-208, 2009.

A Linear Least Square with Duffing Chaotic Detection Designed in Micro-Distance Movement Measurement System

Xiao Lin*, Yaping Dai*, and Linhui Zhao**

Xiao Lin^, Yaping Dai^, and Linhui Zhao^**