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A Flux-Controlled Logarithmic Memristor Model and Emulator

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Abstract

The HP TiO\(_2\) model, as it is well known, is the most widely used physical model of memristor. However, deriving a mathematical model that fully characterizes the HP TiO\(_2\) memristor is a challenging task. As a result, simplified models such as the nonlinear quadratic model and the cubic memristor model are utilized in theoretic quantitative analysis of memristor circuits. These models result in unsatisfactory performance for many applications. To mitigate this problem, this paper proposes a new nonlinear logarithmic model to characterize memristor. Additionally, a memristor emulator circuit is developed. Finally, the relationships among the HP TiO\(_2\) memristor, the logarithmic model, and the emulator are thoroughly discussed.

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Author information

Authors and Affiliations

  1. Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, 430074, China

    Xudong Xie, Liangji Zou, Shiping Wen & Zhigang Zeng

  2. Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Wuhan, 430074, China

    Xudong Xie, Liangji Zou, Shiping Wen & Zhigang Zeng

  3. Science Program, Texas A&M University at Qatar, Doha, 23874, Qatar

    Tingwen Huang

Authors
  1. Xudong Xie
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  2. Liangji Zou
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  3. Shiping Wen
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  4. Zhigang Zeng
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Corresponding author

Correspondence to Shiping Wen.

Additional information

This work was supported by the Natural Science Foundation of China under Grants 61673187 and 61673188. This publication was made possible by NPRP Grant: NPRP 8-274-2-107 from the Qatar National Research Fund (a member of Qatar Foundation). The statements made herein are solely the responsibility of the author.

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Xie, X., Zou, L., Wen, S. et al. A Flux-Controlled Logarithmic Memristor Model and Emulator. Circuits Syst Signal Process 38, 1452–1465 (2019). https://doi.org/10.1007/s00034-018-0926-1

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  • DOI: https://doi.org/10.1007/s00034-018-0926-1

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