Preisach type hysteresis compensation circuit of functional material device

Abstract

The invention aims to provide a Preisach type hysteresis compensation circuit of a functional material device, which belongs to the technical field of functional material devices, and comprises a finite number of P operator equivalent circuit modules established by referring to a Preisach model based on the inverse hysteresis characteristic of the functional material device, a first reverse adder, a first reverse module, a second reverse adder, a second reverse module and a third reverse adder; wherein half of the P operator equivalent circuit module is connected in parallel with the first reverse adder to form a first branch; one end of the parallel structure of the remaining P operator equivalent circuit modules is connected with the first reverse module, and the other end is sequentially connected with the second reverse adder and the second reverse module to form a second branch; and connecting the first branch and the second branch in parallel to a third reverse adder to obtain the Preisach type hysteresis compensation circuit of the functional material device. According to the invention, the energy consumption can be effectively reduced, and the requirement of carbon emission reduction is met.

Description

Technical Field

[0001] The present invention belongs to the technical field of functional material devices, and particularly relates to a Preisach-type hysteresis compensation circuit for functional material devices. Background Art

[0002] In the fields of engineering and technology, functional material devices have extensive applications in multiple industries such as industrial automation, aerospace, automotive industry, robotics, etc. These devices utilize the characteristics of intelligent materials, such as piezoelectric materials and magnetostrictive materials, to achieve mechanical motion and show unique advantages in specific applications. However, the hysteretic nonlinear characteristics of functional materials have become an important factor restricting their wide application.

[0003] To solve this problem, various hysteresis compensation methods have been proposed in the research field. Most of these methods are based on different software models, such as Preisach or PI networks. Although these software algorithm hysteresis models show good feasibility in various verification experiments, they all require the assistance of hardware carriers such as computer systems or embedded systems and consume a certain amount of computing power, which is contrary to the current carbon peaking and carbon neutrality technology roadmap. In view of this, the present invention proposes a method for implementing the hysteresis Preisach model using a hardware circuit. Based on the Preisach operator function of the present invention, it is not necessary to construct through software form or a unique design of CMOS analog circuits, but can be directly implemented using a low-power general operational amplifier, which can effectively reduce energy consumption and meet the requirements of carbon emission reduction. Summary of the Invention

[0004] The present invention provides a Preisach-type hysteresis compensation circuit for functional material devices, aiming to effectively reduce energy consumption and meet the requirements of carbon emission reduction.

[0005] The technical solution of the present invention is as follows: A Preisach-type hysteresis compensation circuit for functional material devices, comprising: A finite number of P-operator equivalent circuit modules, a first inverting adder, a first inverting module, a second inverting adder, a second inverting module, and a third inverting adder, which are built with reference to the Preisach model based on the inverse hysteresis characteristics of the functional material device; wherein, Half of the P-operator equivalent circuit modules are connected in parallel to the first inverting adder to form a first branch; One end of the parallel structure of the remaining P-operator equivalent circuit modules is connected to the first inverting module, and the other end is sequentially connected to the second inverting adder and the second inverting module to form a second branch; The first branch and the second branch are connected in parallel to the third inverting adder to obtain the Preisach-type hysteresis compensation circuit of the functional material device.

[0006] In a possible implementation manner, in the method provided by the embodiments of the present invention, based on the inverse hysteresis characteristic of the functional material device, a finite number of P-operator equivalent circuit modules are built with reference to the Preisach model, including the steps: Obtain the hysteresis characteristic data of the functional material device. With reference to the Preisach model, the hysteresis characteristic of the functional material device is described by the Preisach model as: (1); Wherein, is a relay or a Preisach operator, is the density parameter; Discretize formula (1) to obtain a finite number of P-operator equivalent circuit modules, and the formula is expressed as: (2); Wherein, is the number of P-operators on the Preisach plane, is the minimum step size for selecting P-operators, is P operator with different upper and lower thresholds, N ( i , j ) is the discretized density function.

[0007] In a possible implementation manner, in the method provided by the embodiments of the present invention, the circuit structure of the th P-operator equivalent circuit module includes: an operational amplifier , resistors , and ; wherein, resistor is connected between the input voltage and the first pin of the operational amplifier . One end of the resistor is connected to the first pin of the operational amplifier , and the other end is grounded after passing through the parameter voltage of the P-operator equivalent circuit module; the resistor is connected between the first pin of the operational amplifier and the output pin of the operational amplifier ; the second pin of the operational amplifier is grounded, the third pin is connected to the power supply voltage Vcc, and the fourth pin is connected to the negative voltage Vee.

[0008] In a possible implementation manner, in the method provided by the embodiments of the present invention, the first reverse module is used to multiply the input voltage of the Preisach-type hysteresis compensation circuit by a proportionality coefficient, and the formula is expressed as: ; Wherein, is the input voltage of the Preisach-type hysteresis compensation circuit, is the output voltage of the first reverse module, is the resistance of the first reverse module, and when the proportionality coefficient of the first reverse module is set to 1, the resistances of the branch terminal and the common terminal in the first reverse module are both .

[0009] In a possible implementation manner, in the method provided by the embodiments of the present invention, the second reverse module is used to multiply the input terminal voltage by a proportionality coefficient, and the formula is expressed as: ; Wherein, is the input of the second reverse module, is the output of the second reverse module, is the resistance of the second reverse module, and when the proportionality coefficient of the second reverse module is set to 1, the resistances of the branch terminal and the common terminal in the second reverse module are both .

[0010] In a possible implementation manner, in the method provided by the embodiments of the present invention, the first reverse adder is used to add the voltages of each P-operator equivalent circuit module in the first branch after multiplying them by a first preset proportionality coefficient, and the formula is expressed as: (3); Wherein, is the common terminal resistance of the first reverse adder; is the branch resistance of the first reverse adder; is the voltage input of each P-operator equivalent circuit module in the first branch; is the output voltage of the first reverse adder.

[0011] In a possible implementation manner, in the method provided by the embodiments of the present invention, the second reverse adder is used to add the voltages of each P-operator equivalent circuit module in the second branch after multiplying them by a second preset proportionality coefficient, and the formula is expressed as: (4); Wherein, is the common terminal resistance of the second reverse adder; is the branch resistance of the second reverse adder; is the voltage input of each P-operator equivalent circuit module in the first branch; is the output voltage of the second inverse adder.

[0012] In a possible implementation manner, in the method provided by the embodiments of the present invention, the third inverse adder is used to add the voltages of the first branch and the second branch after multiplying by a third proportionality coefficient, and the third inverse adder outputs is the output of the first inverse adder and the output of the second inverse module Adding them together gives: (5); Wherein, is the common terminal resistance of the third inverse adder, is the reverse terminal resistance of the third inverse adder, is the forward terminal resistance of the third inverse adder.

[0013] The technical solutions provided by the embodiments of the present disclosure at least bring the following beneficial effects: The hysteresis characteristic static characteristic of the functional material device is equivalent to the synthesis of 2 q P-operator equivalent circuit modules, and can approximate the hysteresis characteristic of the functional material device at a single frequency; the finite number of P-operator equivalent circuit modules, the first inverse adder, the first inverse module, the second inverse adder, the second inverse module and the third inverse adder set in the present invention are all composed of general operational amplifiers, and excellent low power consumption can be obtained; at the same time, the special operational amplifier obtained through the CMOS circuit satisfies the characteristics of the P-operator equivalent circuit composed of the operational amplifier; on the basis of the P-operator equivalent circuit, it has the functions of differential or integral circuits before and after input and output, and to a certain extent, the characteristics of the P-operator equivalent circuit will change.

[0014] It should be understood that the above general description and the following detailed description are only exemplary and explanatory, and cannot limit the present disclosure. BRIEF DESCRIPTION OF THE DRAWINGS

[0015] The accompanying drawings here are incorporated into the specification and constitute a part of this specification, showing the embodiments consistent with the present disclosure, and are used together with the specification to explain the principles of the present disclosure, and do not constitute an improper limitation to the present disclosure.

[0016] Figure 1 is a schematic structural diagram of a Preisach-type hysteresis compensation circuit for a functional material device provided by an embodiment of the present disclosure; Figure 2 is a schematic structural diagram of a P-operator equivalent circuit module in a Preisach-type hysteresis compensation circuit for a functional material device provided by an embodiment of the present disclosure; Figure 3Schematic diagram of the output effect of a Preisach-type hysteresis compensation circuit for a functional material device provided by an embodiment of the present disclosure; Wherein: 1 - First inverse adder; 2 - First inverse module; 3 - Second inverse adder; 4 - Second inverse module; 5 - Third inverse adder. Specific implementation manners

[0017] In order to enable those of ordinary skill in the art to better understand the technical solutions of the present disclosure, the technical solutions in the embodiments of the present disclosure will be clearly and completely described below with reference to the accompanying drawings.

[0018] It should be noted that the terms "first", "second", etc. in the specification and claims of the present disclosure and the above-mentioned drawings are used to distinguish similar objects, and do not necessarily need to be used to describe a specific order or sequence. It should be understood that such used data can be interchanged under appropriate circumstances so that the embodiments of the present disclosure described herein can be implemented in an order other than those illustrated or described herein. The implementation manners described in the following exemplary embodiments do not represent all implementation manners consistent with the present disclosure. On the contrary, they are merely examples of devices and methods consistent with some aspects of the present disclosure as detailed in the appended claims.

[0019] As Figure 1 shown, the first embodiment of the present disclosure provides a Preisach-type hysteresis compensation circuit for a functional material device, including: A finite number of P-operator equivalent circuit modules built with reference to the Preisach model based on the inverse hysteresis characteristic of the functional material device, a first inverse adder 1, a first inverse module 2, a second inverse adder 3, a second inverse module 4, and a third inverse adder 5; wherein, Half of the P-operator equivalent circuit modules, such as Figure 1 6 in, are connected in parallel to the first inverse adder 1 to form a first branch; The parallel structure of the remaining P-operator equivalent circuit modules, such as Figure 1 7 in, one end of which is connected to the first inverse module 2, and the other end is sequentially connected to the second inverse adder 3 and the second inverse module 4 to form a second branch; The first branch and the second branch are connected in parallel to the third inverse adder 5 to obtain the Preisach-type hysteresis compensation circuit of the functional material device.

[0020] Wherein, building a finite number of P-operator equivalent circuit modules with reference to the Preisach model based on the inverse hysteresis characteristic of the functional material device includes the steps: To obtain the hysteresis characteristic data of the functional material device, referring to the Preisach model, the hysteresis characteristic of the functional material device is described by the Preisach model. Specifically, the functional material device obtains the hysteresis characteristic data through an experimental platform, and the data form is , is the number of points in the hysteresis characteristic data set, is the input voltage signal at time is the output displacement at time

[0021] The hysteresis characteristic of the functional material device is described by the Preisach model as: (1); wherein, is the relay or Preisach operator, is the density parameter; Discretize formula (1) to obtain a finite number of P-operator equivalent circuit modules, and the formula is expressed as: (2); wherein, M is the number of P-operators on the Preisach plane, is the minimum step size for selecting the P-operator, is the P operator with different upper and lower thresholds, N ( i , j ) is the discretized density function.

[0022] Based on the completion of the Preisach hysteresis software model using various methods, the present invention then uses the corresponding relationship between the non-linear hysteresis characteristic of the operational amplifier and the P-operator to convert the software model into the corresponding hardware circuit. Therefore, the present invention is designed and implemented in the form of a hardware circuit, which is essentially different from the software models proposed by other researchers at the carrier level. The in formula (2) can be constituted by an in-phase or anti-phase hysteresis compensator composed of operational amplifiers, N ( i , j ) can be equivalent to the resistance value, M represents the number of operational amplifiers constituting the hysteresis compensator.

[0023] To facilitate the understanding of the component symbols appearing in the present invention, an annotation table of each component symbol is listed in Table 1 as follows.

[0024] Table 1 Annotation Table of Component Symbols In an embodiment of the present invention, it is attached Figure 2 As shown, a group of q P-operator equivalent circuit modules are connected in parallel to the first inverse adder 1; another group of q P-operator equivalent circuit modules are first passed through the first inverse module and then connected in parallel to the second inverse adder 3, and then connected to the second inverse module 4; finally, the two groups of signals are connected to the third inverse adder and the output is V OUT .

[0025] Attached Figure 2 As shown, the j circuit structure of the P-operator equivalent circuit module includes: an operational amplifier , resistors , and ; among them, resistor is connected between the input voltage and the first pin of the operational amplifier . One end of the resistor is connected to the first pin of the operational amplifier , and the other end is grounded through the parameter voltage of the P-operator equivalent circuit module; the resistor is connected between the first pin of the operational amplifier and the output pin of the operational amplifier ; the second pin j of the operational amplifier is grounded, the third pin is connected to the power supply voltage Vcc, and the fourth pin is connected to the negative voltage Vee.

[0026] The th P-operator equivalent circuit module ( , ), according to potential analysis, it can be obtained that: ; When the operational amplifier circuit jumps, it can be obtained that: ; ; Among them, , are the non-inverting terminal resistors of the j th P-operator equivalent circuit module; is the operating voltage of the operational amplifier. The specific operating voltage value (Vcc, Vee) is selected according to the actual operational amplifier manual. , are the in-phase terminal resistors respectively , and the ratio of, that is 、 .

[0027] The first reverse module is used to multiply the input voltage of the Preisach-type hysteresis compensation circuit by a proportionality coefficient, and the formula is expressed as: ; where, is the input voltage of the Preisach-type hysteresis compensation circuit, is the output voltage of the first reverse module, is the resistor of the first reverse module, and when the proportionality coefficient of the first reverse module is set to 1, the resistor between the branch terminal and the common terminal in the first reverse module is .

[0028] The second reverse module is used to multiply the input terminal voltage by a proportionality coefficient, and the formula is expressed as: ; where, is the input of the second reverse module, is the output of the second reverse module, is the resistor of the second reverse module, and when the proportionality coefficient of the second reverse module is set to 1, the resistor between the branch terminal and the common terminal in the second reverse module is .

[0029] The first reverse adder is used to add the voltages of each P-operator equivalent circuit module in the first branch after multiplying by a first preset proportionality coefficient, and the formula is expressed as: (3); where, is the common terminal resistor of the first reverse adder; is the branch resistor of the first reverse adder; is the voltage input of each P-operator equivalent circuit module in the first branch; is the output voltage of the first reverse adder.

[0030] The second reverse adder is used to add the voltages of each P-operator equivalent circuit module in the second branch after multiplying by a second preset proportionality coefficient, and the formula is expressed as: (4); where, is the common terminal resistor of the second reverse adder; is the branch resistor of the second reverse adder; is the voltage input of each P-operator equivalent circuit module in the first branch; is the output voltage of the second inverting adder.

[0031] The third inverting adder is used to add the voltages of the first branch and the second branch after multiplying them by a third proportionality coefficient. The third inverting adder outputs is the output of the first inverting adder and the output of the second inverting module Adding them together gives: (5); Among them, is the common terminal resistance of the third inverting adder, is the inverting terminal resistance of the third inverting adder, is the non-inverting terminal resistance of the third inverting adder.

[0032] When the upper and lower threshold voltages of the P-operator corresponding to the hysteresis model of the functional material device are negative, the resistance element requires a negative resistance value, which will lead to an increase in circuit elements and complexity. To enhance the circuit robustness, a two-way branch structure is designed: The first branch consists of q P-operator equivalent circuits( , ) ( j = 1, 2, …, q ) connected in parallel. The input signal passes through the V IN port, flows through the P-operator equivalent circuit( , ), and then flows to the j th branch of the first inverting adder 1. Among them, the th P-operator equivalent circuit( , ) is respectively connected to the weight resistance of the first inverting adder 1. The output of the first inverting adder 1 is connected to the first branch of the third inverting adder 5; The second branch consists of the first inverting module 2 composed of an operational amplifier and another q P-operator equivalent circuits( , ) ( j = 1, 2, …, q ) connected in parallel. The input signal passes through the V IN port, flows through the first inverting module 2 and the P-operator equivalent circuit, and then flows to the th branch of the second inverting adder module 3. Among them, the th P-operator equivalent circuit( , ) is connected to the weight resistance , the output signal of the second inverse adder 3 is connected to the second inverse module 4 and then to the second branch of the third inverse adder 5. The circuit schematic diagram is as attached Figure 1 , and the annotations of each component symbol refer to Table 1.

[0033] In a specific embodiment of the present invention, the hysteresis characteristic of an ion polymer-metal composite functional material device (abbreviated as IPMC) according to the sinusoidal response is used as the input of this embodiment.

[0034] This embodiment uses an identification algorithm to use the results of circuit simulation software and the actual observed values of the functional material device, and calculates the obtained mean square error (MSE) as the objective function: (6); Among them, n is the total number of IPMC sinusoidal response data points, is the i th response voltage value in the th data set, i is the

[0035] th circuit model output value.

[0035] This embodiment uses a 20-operator circuit model. According to the previous description of the invention, through the Figure 2 shown P-operator equivalent circuit module, a group of 10 P-operator equivalent circuit modules are connected in parallel to the first inverse adder 1; another group of 10 P-operator equivalent circuit modules first pass through the first inverse module 2 and then are connected in parallel to the second inverse adder 3, and then connected to the second inverse module 4; finally, the two groups of signals are respectively connected to the two branches of the third inverse adder 5, and its output is V OUT , and an equivalent circuit for inverse hysteresis compensation with the same structure as the attached Figure 1 is obtained.

[0036] Among them, the resistance values in the first inverse adder 1 and the second inverse adder 3 need to be arranged as follows: According to formulas (3) and (4), where , is the supply voltage of the operational amplifier, which is , added to is the extreme value of the output of the functional material to be described . This embodiment uses an equal ratio arrangement for each branch, that is, the operators and are equal, so it can be obtained: ; Subsequently, the resistance values of the branch terminals of the inverse adder modules 1 and 2 are set to 1KΩ. According to this method, the resistance values of the common terminals of the first inverse adder 1 and the second inverse adder 3 can be obtained and , it should be noted that the equal ratio arrangement adopted in this embodiment is based on considerations of precision and optimization difficulty. However, the circuit structure proposed by the present invention has the function of building different weights among each P-operator circuit module. Therefore, if higher precision is required, it can also be adjusted and implemented.

[0037] Among them, the proportionality coefficient in the third reverse adder 5 is set to 1, that is 、 are all set to 1. Therefore, in this embodiment, each resistance value is set to 1KΩ. Among them, each resistance in the first reverse module 2 and the second reverse module 4 is set to 1KΩ.

[0038] Apply the hysteresis characteristic dataset as the circuit drive voltage to the hysteresis Preisach circuit, and use the V of the P-operator equivalent circuit module in 20 hysteresis compensator circuits REFj as the continuous optimization variable, 、 as the discrete optimization variable. The discrete range is set to the resistance values that can be purchased currently. MSE is used as the objective function, as shown in formula (6), where is the measured result, is the result of multiple calls to the circuit simulation software (LTspice is selected in this case). This embodiment uses the particle swarm optimization algorithm to identify the required circuit parameters.

[0039] The 20-operator Preisach hysteresis hardware circuit is selected in the embodiment. The upper and lower threshold voltages are not the only solutions. Therefore, to facilitate the implementation of the circuit, set V REFj to the reference value of -3V to obtain the specific component parameter values corresponding to each operator ( 、 、V REFj ) as shown in Table 3. Note that due to the two-way structure design, the operator parameters in the mirror branch and the original branch are exactly the same. Therefore, Table 3 only lists the component parameters of one path, and the component parameters adopt the strategy of the reference value and are replaced according to the actual situation. This embodiment only provides one case. According to Figure 1 the circuit structure, arrange the parameters in the circuit, and the equivalent hysteresis model circuit can be completed. The output after the circuit design of the above embodiment is as Figure 3 , and the present invention can use circuits with different numbers of P-operators according to specific precision requirements. Using a circuit with a larger number of PI-operator modules can provide a more accurate hysteresis characteristic signal output.

[0040] Table 2 Operator Parameter Table Table 3 Component Parameter Table Different from the prior art, the hysteresis characteristic of the functional material device in the present invention is statically equivalent to the synthesis of 2 q P-operator equivalent circuit modules, which can approximate the hysteresis characteristic of the functional material device at a single frequency; the finite number of P-operator equivalent circuit modules, the first inverse adder, the first inverse module, the second inverse adder, the second inverse module and the third inverse adder provided in the present invention are all composed of general operational amplifiers, and excellent low power consumption can be obtained; at the same time, the special operational amplifier obtained through the CMOS circuit satisfies the characteristics of the P-operator equivalent circuit composed of the operational amplifier; on the basis of the P-operator equivalent circuit, there are differential or integral circuit functions before and after the input and output, which will change the characteristics of the P-operator equivalent circuit to a certain extent.

[0041] In the description of this specification, the description with reference to the terms "one embodiment", "some embodiments", "example", "specific example", or "some examples", etc. means that the specific features, structures, materials or characteristics described in connection with the embodiment or example are included in at least one embodiment or example of the present invention. In this specification, the schematic expression of the above terms does not necessarily refer to the same embodiment or example. Moreover, the specific features, structures, materials or characteristics described may be combined in any one or more embodiments or examples in a suitable manner. In addition, without contradiction, those skilled in the art can combine and combine the different embodiments or examples described in this specification and the features of different embodiments or examples.

[0042] In addition, the terms "first" and "second" are only used for descriptive purposes and cannot be understood as indicating or implying relative importance or implicitly indicating the quantity of the indicated technical features. Thus, the features defined with "first" and "second" may explicitly or implicitly include at least one of these features. In the description of the present invention, "a plurality" means at least two, such as two, three, etc., unless otherwise specifically defined.

[0043] Any process or method description shown in the flowchart or described in other ways herein can be understood as representing a module, segment or part of code including one or more executable instructions for implementing a customized logic function or process, and the scope of the preferred embodiment of the present invention includes additional implementations, where the functions may be executed in a substantially simultaneous manner or in the reverse order according to the involved functions, rather than in the order shown or discussed, which should be understood by those skilled in the art to which the embodiments of the present invention belong.

[0044] Although the embodiments of the present invention have been shown and described above, it can be understood that the embodiments are exemplary and should not be construed as limiting the present invention. Those of ordinary skill in the art can make changes, modifications, substitutions, and variations to the embodiments within the scope of the present invention.

Claims

1. A Preisach type hysteresis compensation circuit of a functional material device, characterized in that: include: Based on the inverse hysteresis characteristics of the functional material device, a finite number of P operator equivalent circuit modules, a first reverse adder, a first reverse module, a second reverse adder, a second reverse module and a third reverse adder are constructed with reference to the Preisach model; wherein, half of the P operator equivalent circuit modules are connected in parallel to the first reverse adder to form a first branch; one end of the parallel structure of the remaining P operator equivalent circuit modules is connected to the first reverse module, and the other end is connected in sequence to the second reverse adder and the second reverse module to form a second branch; the first branch and the second branch are connected in parallel to the third reverse adder to obtain the Preisach type hysteresis compensation circuit of the functional material device.

2. The Preisach type hysteresis compensation circuit of a functional material device according to claim 1, characterized in that: Based on the inverse hysteresis characteristics of the functional material device, a finite number of P operator equivalent circuit modules are constructed with reference to the Preisach model, including the steps of: obtaining hysteresis characteristic data of the functional material device, and describing the hysteresis characteristics of the functional material device with reference to the Preisach model as follows: （1）； in, is a relay or Preisach operator, is the density parameter; By discretizing formula (1), a finite number of P operator equivalent circuit modules are obtained, which can be expressed as follows: (2)； in, is the number of P operators on the Preisach plane, To select the minimum step size of the P operator, For different upper and lower thresholds P Operator, N ( i , j ) is the discretized density function.

3. The Preisach type hysteresis compensation circuit of a functional material device according to claim 1, characterized in that: The circuit structure of the jth P operator equivalent circuit module includes: an operational amplifier ,resistance , and ; wherein the resistor Connect to input voltage and operational amplifiers The first pin Between the resistors One end of the operational amplifier is connected to The first pin , the other end is grounded after passing through the parameter voltage of the P operator equivalent circuit module; the resistor Connect to operational amplifier The first pin and operational amplifiers Output pins between; the operational amplifier The second pin Ground, third pin Connect the power supply voltage Vcc, the fourth pin Connect the negative voltage Vee.

4. The Preisach type hysteresis compensation circuit of a functional material device according to claim 1, characterized in that: The first reverse module is used to multiply the input voltage of the Preisach type hysteresis compensation circuit by a proportional coefficient, which is expressed as follows: ； in, is the input voltage of the Preisach type hysteresis compensation circuit, is the output voltage of the first reverse module, is the resistance of the first reverse module, and when the proportional coefficient of the first reverse module is set to 1, the resistances of the branch end and the common end in the first reverse module are both .

5. The Preisach type hysteresis compensation circuit of a functional material device according to claim 1, characterized in that: The second inverting module is used to multiply the input voltage by a proportional coefficient, and the formula is expressed as: ； in, The second reverse module input is is the output of the second reverse module, is the resistance of the second reverse module, and when the proportional coefficient of the second reverse module is set to 1, the resistance of the branch end and the common end in the second reverse module are both .

6. The Preisach type hysteresis compensation circuit of a functional material device according to claim 1, characterized in that: The first inverse adder is used to multiply the voltage of each P operator equivalent circuit module in the first branch by a first preset proportional coefficient and then add them together. The formula is expressed as: (3)； in, is the common terminal resistance of the first inverse adder; is the branch resistance of the first inverse adder; is the voltage input of each of the P operator equivalent circuit modules in the first branch; is the output voltage of the first inverse adder.

7. The Preisach type hysteresis compensation circuit of a functional material device according to claim 5, characterized in that: The second inverse adder is used to multiply the voltage of each P operator equivalent circuit module in the second branch by a second preset proportional coefficient and then add them together. The formula is expressed as follows: (4)； in, is the common terminal resistance of the second inverse adder; is the branch resistance of the second inverse adder; is the voltage input of each of the P operator equivalent circuit modules in the first branch; is the output voltage of the second inverting adder.

8. The Preisach type hysteresis compensation circuit of the functional material device according to claim 7, characterized in that: The third inverse adder is used to multiply the voltages of the first branch and the second branch by a third proportional coefficient and then add them together. The third inverse adder outputs The first inverse adder output The second reverse module output Adding them together gives: (5)； in, is the common terminal resistance of the third inverse adder, is the reverse terminal resistance of the third reverse adder, is the positive terminal resistance of the third inverse adder.

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