Equivalent circuit of floating type fractional order memristor

Abstract

The invention relates to an equivalent circuit of a floating type fractional order memristor and a using method of the equivalent circuit. The technical scheme is as follows: after excitation voltageV (t) is applied to an equivalent circuit of the floating type fractional order memristor, through the effects of 29 modules, such as a first current transmitter (1), a voltage-controlled phase shifter (10) and a frequency / voltage converter (22), the electric characteristic of the fractional order memristor can be accurately simulated, a terminal A and a terminal D of the equivalent circuit of thefloating type fractional order memristor are equal in current, the terminal A and the terminal D can be connected with elements in other circuits at will, the equivalent circuit is convenient to use,and the application range is wide. The introduced fractional-order memristor order control signal alpha' is used for changing the order of a fractional-order memristor, and the introduced fractional-order memristor state variable initial value control signal x0 'is used for changing the fractional-order memristor state variable initial value. The fractional order memristor order and the fractional order memristor state variable initial value are convenient to adjust and easy to control.

Description

technical field [0001] The invention belongs to the technical field of equivalent circuits of fractional order memristors. In particular, it relates to an equivalent circuit of a floating fractional order memristor. Background technique [0002] At present, memsensors are still in the stage of laboratory research, and no commercial products have appeared yet. Researchers can only study its characteristics by building its equivalent circuit. In 2013, Liang Yan, Yu Dongsheng and others designed an equivalent model of a flux-controlled memristor based on the conversion relationship between the memristor and the memristor (Liang Yan, Yu Dongsheng, Chen Hao. Based on A new memristor equivalent model for analog circuits [J]. Acta Physica Sinica, 2013, 62(15): 158501-10), but this model includes a parasitic resistance. In 2015, Wang Guangyi, Jin Peipei and others invented "an analog circuit for realizing the characteristics of a memristor" (CN205232190U), which is an equivalent a...

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Problems solved by technology

[0002] At present, the memory sensor is still in the stage of laboratory research, and no commercial products have appeared yet. Researchers can only study its characteristics by building its equivalent circuit

In 2013, Liang Yan, Yu Dongsheng and others designed an equivalent model of a flux-controlled memristor based on the conversion relationship between the memristor and the memristor (Liang Yan, Yu Dongsheng, Chen Hao. Based on A new memristor equivalent model for analog circuits [J]. Acta Physica Sinica, 2013, 62(15): 158501-10), but the model includes a parasitic resistance

In 2015, Wang Guangyi, Jin Peipei and others invented "an analog circuit for realizing the characteristics of a memristor" (CN205232190U), which is an equivalent analog circuit of a magnetron memristor without parasitic resistance; but it One end of it can only be grounded, which limits its range of use in the circuit

In 2016, Wu Yuxin analyzed the conversion conditions of memristor and memristor (Wu Yuxin. A fractional order model of memristor and its application research [D]. [Master's thesis] Wuhan University of Science and Technology, 2016 ), a fractional-order memristor model is constructed by using fractional-order memristors, but the fractional-order memristor model is a grounded circuit, which limits the scope of use of the fractional-order memristor model in other circuits

[0005] In 2018, Gan Zhaohui, Wang Xiaozan and others invented "an equivalent circuit of fractional-order memristor" (CN108509704A), which can accurately simulate the electrical characteristics of fractional-order memristor; but this equivalent circuit is also a grounded circuit , limiting the scope of use of this equivalent circuit in other circuits

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