An equivalent circuit of a floating-type fractional-order memristor and a use method thereof

Abstract

The invention relates to an equivalent circuit of a floating-type fractional-order memristor and a use method thereof. The technical scheme is as follows: the equivalent circuit of the floating-type fractional-order memristor applies an excitation voltage v (t) and passes through an amplification module 8. The functions of 23 modules, such as a voltage controlled phase shifter (6) and a frequency / voltage converter (23), can accurately simulate the electrical characteristics of the fractional-order memristor with high accuracy, and simultaneously ensure that the currents passing through the terminal A and the terminal D of the equivalent circuit of the floating-type fractional-order memristor are equal; the fractional-order memristor order control signal Alpha 'introduced can change the order of the fractional-order memristor, and the fractional-order memristor state variable initial value control signal x0' introduced can change the fractional-order memristor state variable initial value. The fractional-order and fractional-order memristor state variable initial values of the floating-type fractional-order memristor equivalent circuit can be easily adjusted and controlled, and theterminals A and D of the equivalent circuit can be arbitrarily connected with the components of other circuits when in use.

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 floating-type fractional-order memristor and a use method thereof. 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, researchers such as Strukov and other HP laboratories successfully produced the actual memristor (Strukov D B, Snider G S, Stewart D R, et a1.The missing memristor found[ J].Nature,2008,453(7191):80-83.), only confirmed Professor Cai's conjecture, which increased the number of basic circuit components to four, and a new research space appeared in circuit design and application. Since memristors have not been commercialized...

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

In 2018, Gan Zhaohui and others invented "an equivalent circuit of a fractional memristor" (CN201810192950.9), which can accurately simulate the electrical characteristics of a fractional memristor, but the equivalent circuit is grounded circuit, that is, one end must be grounded and the other end connected to the circuit, so there are great limitations in circuit application

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