An Equivalent Circuit of a Fractional Order Memristor

Abstract

The invention particularly relates to an equivalent circuit of a fractional order memristor. According to the technical scheme, input current i(t) of the equivalent circuit of the equivalent circuit is processed into output voltage Vo1 of a current transmitter (2) under the action of a second resistor (1), the current transmitter (2) and a first resistor (3); the output voltage is then subjected to phase shift via a voltage-controlled phase shifter (6), and frequency of an input signal is detected via a frequency / voltage converter (21). Output voltage VD2 of a third adder (11) is processed into input voltage VI2 of the current transmitter (2) under the action of an analog inverter (12); control signal alpha' of the order of the introduced fractional order memristor is used to change the order of the fractional order memristor; control signal x0' of a state variable initial value of the introduced fractional order memristor is used to change the initial value of a state variable of thefractional order memristor. The equivalent circuit is capable of precisely simulating electrical characteristics of the fractional order memristor under high precision; the fractional order and the initial value of the state variable of the fractional order memristor are convenient to adjust and easy to control.

Description

technical field [0001] The invention belongs to the technical field of equivalent circuits of memristors. In particular, it relates to an equivalent circuit of a fractional order memristor. Background technique [0002] In 1971, Professor Cai Shaotang speculated from the perspective of the completeness of the basic circuit theory that there should be a basic circuit element that characterizes the relationship between charge and magnetic flux ----- memristor. However, his conjecture has not been confirmed until 2008, the researchers of Strukov and other HP laboratories successfully produced the actual memristor (Strukov D B, Snider G S, Stewart D R, eta1.The missing memristor found[J ].Nature,2008,453(7191):80-83.), which confirmed Professor Cai’s conjecture, which increased the number of basic circuit components to four, and created a new research space for circuit design and application. Since memristors have not been commercialized, the application research of memristors...

AI Technical Summary

Problems solved by technology

For different fractional-order orders, the resistance and capacitance in the fractional-order memristor circuit need to be matched. Therefore, when the order of the fractional-order memristor changes, it is necessary to artificially change many of the fractional-order memristor circuits. The resistance and capacitance of the fractional order memristor analog circuit of this order can be obtained, which is very inconvenient and not suitable for the circuit design of the continuously adjustable fractional order memristor

In addition, the fractional-order memristor analog circuit is obtained through an approximation method, which will also affect the accuracy of the fractional-order memristor

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