CN110224809A - A kind of three rank Non-Self-Governing chaos signal generators based on PI type memristor - Google Patents
A kind of three rank Non-Self-Governing chaos signal generators based on PI type memristor Download PDFInfo
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- CN110224809A CN110224809A CN201910378833.4A CN201910378833A CN110224809A CN 110224809 A CN110224809 A CN 110224809A CN 201910378833 A CN201910378833 A CN 201910378833A CN 110224809 A CN110224809 A CN 110224809A
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Abstract
The present invention provides a kind of three rank Non-Self-Governing chaos signal generators based on PI type memristor, and by the way that PI type memristor is introduced Second-Order RLC Filter Circuit oscillating circuit, a kind of three rank Non-Self-Governing memristor chaos signal generators are designed in additional sinusoidal voltage driving.The circuit structure is simple, and can obtain chaotic signal abundant by the amplitude and frequency for adjusting additional sinusoidal voltage.
Description
Technical field
The present invention relates to chaos signal generator technical fields, non-more particularly to a kind of three ranks based on PI type memristor
Self-governing chaos signal generator, by the way that PI type memristor is introduced Second-Order RLC Filter Circuit oscillating circuit, additional sinusoidal voltage driving, design
A kind of three rank Non-Self-Governing memristor chaos signal generators out, can be used for the generation of chaotic signal.
Background technique
Chaology, it is considered to be 20th century, three one of big achievement of natural science, covering after the theory of relativity, quantum mechanics
Every field in society.Chaotic signal has the advantages that intrinsic stochasticity, initial value sensitivity, bandwidth, therefore adds in information
Close, chaotic secret communication aspect, electric system etc. have wide practical use.
Chaos phenomenon is the predicable of nonlinear circuit, and an essential condition for generating chaos is at least contained in circuit
There is a nonlinear device, memristor is linear in nonlinear circuit by replacing as a kind of natural nonlinear memory device
Or nonlinear device, it is easy to construct the memristor circuit with abundant chaotic characteristic.Most of chaos circuit based on memristor
Document is furtherd investigate on autonomous circuit more than three ranks or three ranks, is studied low order nonautonomous circuit less.Low order
Nonautonomous circuit, which passes through, will show driving source containing time parameter and introduce circuit or replacement part oscillating unit circuit, not only can be with
Simplify circuit, it is easier to IC Integrated design.Therefore research low order Non-Self-Governing memristor circuit has chaology development important
Practical significance.
Summary of the invention
The technical problems to be solved by the present invention are: in order to overcome the shortcomings in the prior art, the present invention provides a kind of base
In three rank Non-Self-Governing chaos signal generators of PI type memristor, circuit is vibrated using sine voltage signal source as Second-Order RLC Filter Circuit
The driving voltage of circuit, PI type memristor W are connected in parallel on the both ends capacitor C, and circuit topological structure is simple and is easy to generate chaotic signal,
It can be used as chaos signal generator.
The present invention solves its technical problem technical solution to be taken: a kind of three ranks based on PI type memristor are non-certainly
Control chaos signal generator, including sine voltage signal source VS, resistance R, capacitor C, inductance L, PI type memristor W, wherein
Composition Second-Order RLC Filter Circuit oscillating circuit in parallel with capacitor C again after resistance R connects with inductance L, sine voltage signal source VSString
It is associated in the driving voltage in the series circuit of resistance R and inductance L as Second-Order RLC Filter Circuit oscillating circuit, PI type memristor W is connected in parallel on electricity
Hold the both ends C, obtains three rank Non-Self-Governing memristor chaos circuits, and the electric current at the both ends inductance L is denoted as iL, the voltage at the both ends capacitor C
It is denoted as vC, the electric current at the both ends PI type memristor W is denoted as i, and the voltage at the both ends PI type memristor W is denoted as v.
Further, the equivalent-circuit model of the PI type memristor W includes voltage follower U1, integrator U2, resistance RaWith
Rb, capacitor C0, multiplier M1And M2And negative resistance Rc, wherein
Voltage follower U1Noninverting input and the input terminal I of non-ideal voltage-controlled type memristor W be connected directly, voltage follow
Device U1Reverse input end be connected to voltage follower U1Output end, then series resistor Ra, meanwhile, resistance RaThe other end connect
It is connected to integrator U2Reverse input end, integrator U2Noninverting input ground connection；By resistance RbWith capacitor C0The series connection net of composition
Network one end is connected to integrator U2Reverse input end, the other end is connected to integrator U2Output end；Multiplier M1Two input
End and integrator U2Output end be connected, multiplier M1Output end connect multiplier M2An input terminal, multiplier M2It is another
One input terminal connects the input terminal I, negative resistance R of non-ideal voltage-controlled type memristor WcOne end connects the defeated of non-ideal voltage-controlled type memristor W
Enter and hold I, the other end connects multiplier M2Output end.Integrator U2In capacitor C0Front end series resistance Rb, with U2Reverse input end
Resistance RaConstitute certain proportionate relationship, adjustable U2Output voltage can effectively reduce operation by adjusting resistance values and put
Big device output voltage.
Specifically, the relational expression of the equivalent-circuit model of the PI type memristor W are as follows:
Wherein, m=Rb/Ra, g represents multiplier M1And M2Overall gain, v and i respectively represent the voltage and electricity at memristor both ends
Stream, v0It is C0The voltage at both ends.
State equation can be obtained using the topological relation and Kirchhoff's law of circuit relationships formula (1) and circuit are as follows:
Wherein, v0、vC、iLRespectively capacitor C0, the both ends C voltage and flow through the electric current of inductance L, VSIt is sine voltage signal
The amplitude in source, ω are angular speed.
The beneficial effects of the present invention are: a kind of three rank Non-Self-Governing chaotic signals based on PI type memristor provided by the invention
Generator, by the way that PI type memristor is introduced Second-Order RLC Filter Circuit oscillating circuit, it is non-to design a kind of three ranks for additional sinusoidal voltage driving
Autonomous memristor chaos signal generator.The circuit topological structure is simple, and can pass through the amplitude of the additional sinusoidal voltage of adjusting
Chaotic signal abundant is obtained with frequency, can be used as a kind of chaos signal generator.
Detailed description of the invention
Present invention will be further explained below with reference to the attached drawings and examples.
Three rank nonautonomous circuit models of the Fig. 1 based on PI type memristor；
Fig. 2 PI type memristor W equivalent-circuit model；
Fig. 3 (a) is based on three rank nonautonomous circuits of PI type memristor in MATLABv0-vCPhase rail figure in plane；
Three rank nonautonomous circuit among MATLABs state variable vs of the Fig. 3 (b) based on PI type memristorCTime-domain diagram；
Capacitor C in Fig. 4 (a) PSIM circuit0The voltage v at both ends0With the voltage v at the both ends capacitor CCThe phase rail figure of plane；
The voltage v at the both ends capacitor C in Fig. 4 (b) PSIM circuitCTime domain waveform.
Specific embodiment
Presently in connection with attached drawing, the present invention is described in detail.This figure is simplified schematic diagram, is only illustrated in a schematic way
Basic structure of the invention, therefore it only shows the composition relevant to the invention.
As shown in Figure 1, a kind of three rank Non-Self-Governing chaos signal generators based on PI type memristor of the invention, including just
String voltage signal source VS, resistance R, capacitor C, inductance L, PI type memristor W, wherein
Composition Second-Order RLC Filter Circuit oscillating circuit in parallel with capacitor C again after resistance R connects with inductance L, sine voltage signal source VSString
It is associated in the driving voltage in the series circuit of resistance R and inductance L as Second-Order RLC Filter Circuit oscillating circuit, PI type memristor W is connected in parallel on electricity
Hold the both ends C, obtains three rank Non-Self-Governing memristor chaos circuits, and the electric current at the both ends inductance L is denoted as iL, the voltage at the both ends capacitor C
It is denoted as vC, the electric current at the both ends PI type memristor W is denoted as i, and the voltage at the both ends PI type memristor W is denoted as v.
The equivalent-circuit model of the PI type memristor W includes voltage follower U1, integrator U2, resistance RaAnd Rb, capacitor
C0, multiplier M1And M2And negative resistance Rc, wherein
Voltage follower U1Noninverting input and the input terminal I of non-ideal voltage-controlled type memristor W be connected directly, voltage follow
Device U1Reverse input end be connected to voltage follower U1Output end, then series resistor Ra, meanwhile, resistance RaThe other end connect
It is connected to integrator U2Reverse input end, integrator U2Noninverting input ground connection；By resistance RbWith capacitor C0The series connection net of composition
Network one end is connected to integrator U2Reverse input end, the other end is connected to integrator U2Output end；Multiplier M1Two input
End and integrator U2Output end be connected, multiplier M1Output end connect multiplier M2An input terminal, multiplier M2It is another
One input terminal connects the input terminal I, negative resistance R of non-ideal voltage-controlled type memristor WcOne end connects the defeated of non-ideal voltage-controlled type memristor W
Enter and hold I, the other end connects multiplier M2Output end.Integrator U2In capacitor C0Front end series resistance Rb, with U2Reverse input end
Resistance RaConstitute certain proportionate relationship, adjustable U2Output voltage.
Mathematical modeling: the relational expression of the equivalent-circuit model of PI type memristor W shown in Fig. 2 are as follows:
Wherein, m=Rb/Ra, g represents multiplier M1And M2Overall gain, v and i respectively represent the voltage and electricity at memristor both ends
Stream, v0It is C0The voltage at both ends.
State equation can be obtained in the topological relation and Kirchhoff's law of circuit and circuit according to figure 1 are as follows:
Wherein, v0、vC、iLRespectively capacitor C0, the both ends C voltage and flow through the electric current of inductance L, VSIt is sine voltage signal
The amplitude in source, ω are angular speed.
MATLAB numerical simulation and PSIM circuit simulation: setting initial value as (0,0,0), circuit parameter C0=10nF, C
=33nF, L=15mH, R=6k Ω, Ra=2k Ω, Rb=2k Ω, Rc=1.4k Ω, g=0.1, VS=5V, ω=3.14 ×
104Rad/s selects Runge-Kutta ode45 to solve the differential equation, obtains the v as shown in Fig. 3 (a) in MATLAB0-vCPlane
On phase rail figure, state variable v shown in Fig. 3 (b)CTime domain waveform.
Same circuit element parameter is chosen, circuit model is built in PSIM, obtains consistent wave corresponding with MATLAB
Shape figure.Fig. 4 (a) is capacitor C0Both end voltage v0With capacitor C both end voltage vCPhase rail figure in plane, Fig. 4 (b) are the both ends capacitor C
Voltage vCTime-domain diagram.
The result further demonstrate the three rank Non-Self-Governing chaos signal generators based on PI type memristor can produce it is mixed
Ignorant phenomenon can be used as a kind of chaos signal generator.
Taking the above-mentioned ideal embodiment according to the present invention as inspiration, through the above description, relevant staff
Various changes and amendments can be carried out without departing from the scope of the present invention completely.The technical scope of this invention is not
The content being confined on specification, it is necessary to which the technical scope thereof is determined according to the scope of the claim.
Claims (3)
1. a kind of three rank Non-Self-Governing chaos signal generators based on PI type memristor, it is characterised in that: believe including sinusoidal voltage
Number source VS, resistance R, capacitor C, inductance L, PI type memristor W, wherein
Composition Second-Order RLC Filter Circuit oscillating circuit in parallel with capacitor C again after resistance R connects with inductance L, sine voltage signal source VSIt is connected on
Driving voltage in the series circuit of resistance R and inductance L as Second-Order RLC Filter Circuit oscillating circuit, PI type memristor W are connected in parallel on capacitor C
Both ends obtain three rank Non-Self-Governing memristor chaos circuits, and the electric current at the both ends inductance L are denoted as iL, the voltage at the both ends capacitor C is denoted as
vC, the electric current at the both ends PI type memristor W is denoted as i, and the voltage at the both ends PI type memristor W is denoted as v.
2. the three rank Non-Self-Governing chaos signal generators based on PI type memristor as described in claim 1, it is characterised in that: institute
The equivalent-circuit model for stating PI type memristor W includes voltage follower U1, integrator U2, resistance RaAnd Rb, capacitor C0, multiplier M1
And M2And negative resistance Rc, wherein
Voltage follower U1Noninverting input and the input terminal I of non-ideal voltage-controlled type memristor W be connected directly, voltage follower U1
Reverse input end be connected to voltage follower U1Output end, then series resistor Ra, meanwhile, resistance RaThe other end be connected to
Integrator U2Reverse input end, integrator U2Noninverting input ground connection；By resistance RbWith capacitor C0The series network one of composition
End is connected to integrator U2Reverse input end, the other end is connected to integrator U2Output end；Multiplier M1Two input terminals with
Integrator U2Output end be connected, multiplier M1Output end connect multiplier M2An input terminal, multiplier M2It is another defeated
Enter input terminal I, negative resistance R that end connects non-ideal voltage-controlled type memristor WcOne end connects the input terminal of non-ideal voltage-controlled type memristor W
I, the other end connect multiplier M2Output end.
3. the three rank Non-Self-Governing chaos signal generators based on PI type memristor as claimed in claim 2, it is characterised in that: institute
State the relational expression of the equivalent-circuit model of PI type memristor W are as follows:
Wherein, m=Rb/Ra, g represents multiplier M1And M2Overall gain, v and i respectively represent the voltage and current at memristor both ends, v0
It is C0The voltage at both ends.
State equation can be obtained using the topological relation and Kirchhoff's law of circuit relationships formula (1) and circuit are as follows:
Wherein, v0、vC、iLRespectively capacitor C0, the both ends C voltage and flow through the electric current of inductance L, VSIt is sine voltage signal source
Amplitude, ω are angular speed.
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110611560A (en) * | 2019-09-18 | 2019-12-24 | 湘潭大学 | Three-dimensional non-autonomous chaotic model and circuit |
| CN111817700A (en) * | 2020-06-01 | 2020-10-23 | 杭州电子科技大学 | Autonomous chaotic circuit based on N-type local active memristor |
Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105827390A (en) * | 2016-03-18 | 2016-08-03 | 常州大学 | Simple second-order non-autonomous memristor chaotic signal generator |
| CN106209345A (en) * | 2016-07-25 | 2016-12-07 | 常州大学 | A kind of simple Non Autonomous memristor chaos signal generator |
-
2019
- 2019-05-08 CN CN201910378833.4A patent/CN110224809A/en active Pending
Patent Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105827390A (en) * | 2016-03-18 | 2016-08-03 | 常州大学 | Simple second-order non-autonomous memristor chaotic signal generator |
| CN106209345A (en) * | 2016-07-25 | 2016-12-07 | 常州大学 | A kind of simple Non Autonomous memristor chaos signal generator |
Non-Patent Citations (1)
| Title |
|---|
| MO CHEN ET AL.: "Flux–Charge Analysis of Two-Memristor-Based Chua’S Circuit: Dimensionality Decreasing Model for Detecting Extreme Multistability", 《IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS》 * |
Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110611560A (en) * | 2019-09-18 | 2019-12-24 | 湘潭大学 | Three-dimensional non-autonomous chaotic model and circuit |
| CN110611560B (en) * | 2019-09-18 | 2023-09-12 | 湘潭大学 | Three-dimensional non-autonomous chaotic model and circuit |
| CN111817700A (en) * | 2020-06-01 | 2020-10-23 | 杭州电子科技大学 | Autonomous chaotic circuit based on N-type local active memristor |
| CN111817700B (en) * | 2020-06-01 | 2023-09-29 | 杭州电子科技大学 | Autonomous chaotic circuit based on N-type local active memristor |
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