| Memristance controlling approach based on modification of linear M–q curve |
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| 引用本文： | 刘海军,李智炜,于红旗,孙兆林,聂洪山.Memristance controlling approach based on modification of linear M–q curve[J].中国物理 B,2014(11):599-605. |
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| 作者姓名： | 刘海军 李智炜 于红旗 孙兆林 聂洪山 |
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| 作者单位： | College of Electronic Science and Engineering, National University of Defense Technology |
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| 基金项目： | Project supported by the National Natural Science Foundation of China （Grant No. 61171017）. |
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| 摘 要： | The memristor has broad application prospects in many fields, while in many cases, those fields require accurate impedance control. The nonlinear model is of great importance for realizing memristance control accurately, but the im- plementing complexity caused by iteration has limited the actual application of this model. Considering the approximate linear characteristics at the middle region of the memristance-charge （M-q） curve of the nonlinear model, this paper pro- poses a memristance controlling approach, which is achieved by linearizing the middle region of the M-q curve of the nonlinear memristor, and establishes the linear relationship between memristances M and input excitations so that it can realize impedance control precisely by only adjusting input signals briefly. First, it analyzes the feasibility for linearizing the middle part of the M-q curve of the memristor with a nonlinear model from the qualitative perspective. Then, the lin- earization equations of the middle region of the M-q curve is constructed by using the shift method, and under a sinusoidal excitation case, the analytical relation between the memristance M and the charge time t is derived through the Taylor series expansions. At last, the performance of the proposed approach is demonstrated, including the linearizing capability for the middle part of the M-q curve of the nonlinear model memristor, the controlling ability for memristance M, and the influence of input excitation on linearization errors.
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| 关 键 词： | 非线性模型 阻抗控制 曲线 修改方法 泰勒级数展开 输入激励 充电时间 线性关系 |
Memristance controlling approach based on modification of linear M-q curve |
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| Liu Hai-Jun,Li Zhi-Wei,Yu Hong-Qi,Sun Zhao-Lin,and Nie Hong-Shan.Memristance controlling approach based on modification of linear M-q curve[J].Chinese Physics B,2014(11):599-605. |
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| Authors: | Liu Hai-Jun Li Zhi-Wei Yu Hong-Qi Sun Zhao-Lin and Nie Hong-Shan |
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| Affiliation: | College of Electronic Science and Engineering, National University of Defense Technology, Changsha 410073, China |
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| Abstract: | memristor, memristive system, linear model, nonlinear model |
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| Keywords: | memristor memristive system linear model nonlinear model |
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