CN108964871A - A kind of triple channel safe communication method based on double Chen's chaotic systems and terminal sliding mode - Google Patents
A kind of triple channel safe communication method based on double Chen's chaotic systems and terminal sliding mode Download PDFInfo
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Abstract
The invention discloses a kind of triple channel safe communication method based on double Chen's chaotic systems and terminal sliding mode, it is characterized in that two Chen's chaotic systems being almost similar using structure are respectively as transmitting terminal and receiving end, in the key that transmitting terminal generates the triple channel information that need to be transmitted as chaos system signal, and in receiving end by designing simplified equivalent control first, secondly terminal sliding mode synchronously control rule is introduced, carry out the synchronization of two Chen's chaotic systems, again by designing a kind of non-linear decryption policy of triple channel based on exponential function, carry out the decryption restoration of triple channel information, it has been finally completed the encryption communication task of triple channel information encryption and decryption based on double Chen's chaotic systems.
Description
Technical field
The invention belongs to communication field more particularly to it is a kind of using Chen's chaotic system as secure communication transmitting terminal with
Receiving end, and synchronized using terminal sliding mode, the safety communication technology of the triple channel information decryption based on exponential function.
Background technique
Chen's chaotic system is since being suggested, because its system structure is simple, stochastic behaviour is good and has been widely cited
In every field.The present invention considers to utilize its state amplitude larger, can play the role of good signal cover, be very suitable to it
Applied in secure communication.It is most of using counteracting balancing act design at present in the secure communication based on Chaotic Synchronous
Equivalent control term, and the present invention then enormously simplifies the design of equivalent control term in the case where not influencing its stability.At present
The scheme that encryption communication is carried out using chaos system is mostly based on single channel progress, and the invention proposes a kind of triple channels
Safe communication method, and devise a new class of terminal sliding mode synchronization policy and a kind of non-linear decryption based on exponential function
Strategy can greatly speed up the speed of information decryption and improve the effect of Information recovering.
Summary of the invention
What the present invention was implemented is designed to provide a kind of based on the triple channel of double Chen's chaotic systems and terminal sliding mode safety
The means of communication, it is characterized in that will need to pass in transmitting terminal using two Chen's chaotic systems respectively as transmitting terminal and receiving end
The key that the triple channel information sent is generated as chaos system signal, and in receiving end by designing new equivalent control rule first
Secondly rule introduces terminal sliding mode synchronously control rule, carry out the synchronization of two Chen's chaotic systems, then be based on index letter by design
The non-linear decryption policy of several triple channels carries out the decryption restoration of triple channel information, has been finally completed based on double Chen Shi chaos systems
The encryption communication task of triple channel the information encryption and decryption of system.
The invention is realized in this way a kind of triple channel encryption communication side based on double Chen's chaotic systems and terminal sliding mode
Method includes the following steps:
Step 1: the building of transmitting terminal Chen's chaotic system
Following Chen's chaotic system is constructed in transmitting terminal:
Wherein, zai(i=1,2,3) is three states of transmitting terminal chaos system, andFor the transmitting terminal
The derivative of three states of chaos system, the initial state value z of the transmitting terminal chaos systemai(0), (i=1,2,3) is according to specific
Case study on implementation determines；
Preferably, after completing the transmitting terminal chaos system building, by observing the defeated of the transmitting terminal chaos system
It does well, if there can be no random chaotic signals, then shows that the transmitting terminal chaos system is abnormal, survey cannot be passed through
Examination is rebuild after inspection parameter setting, until passing through test；
Step 2: information encryption and modulation
By three information s of triple channel to be sent1(t)、s2(t)、s3(t) three of the transmitting terminal chaos system are added
Channel carries out chaotic modulation, at this time the transmitting terminal chaos system:
Then, the state of chaotic system z that will be obtained after triple channel modulates informationa1、za2With za3It is sent to from transmitting terminal
Receiving end；
Step 3: receiving end Chen's chaotic system construction
In receiving end, construction Chen's chaotic system is as follows:
Wherein, zbi(i=1,2,3) is three states of receiving end chaos system,It is mixed for the receiving end
The derivative of three states of ignorant system,
It is superimposed u respectively on the receiving end chaos system1、u2、u3WithReceiving end chaos system is such as at this time
Under:
Wherein, u1、u2With u3For the input signal of receiving end chaos system, u1、u2With u3Terminal sliding mode control is used subsequent
Method processed is designed, and receiving end state of chaotic system is enabled rapidly to converge to transmitting terminal state of chaotic system,
Respectively transmitting terminal sends information s1(t)、s2(t)、s3(t) decryption restoration value, decryption restoration
Using a kind of non-linear recovery rule based on logarithmic function, so that Information recovering has good fidelity；
This step receiving end Chen's chaotic system initial state value zbi(0), (i=1,2,3) and information decryption restoration valueSelection determined by specific implementation case；
Step 4: the design of Equivalent control law
According to transmitting terminal Chen Shi chaotic signal zai(i=1,2,3) with the signal z of receiving end Chen's chaotic systembi(i=1,
2,3) instrument error signal ei=zai-zbi(i=1,2,3), construction Equivalent control law are as follows:
u1a=35e2
u2a=28e2
u3a=zb1e2
Wherein, u1a、u2aWith u3aFor equivalent control strategy；
Step 5: the synchronously control rule construction based on terminal sliding mode
On the basis of the Equivalent control law of step 4, a kind of new terminal sliding mode synchronously control rule is designed,
ui=-uia-uib(i=1,2,3)
Wherein, uiaIt is consistent with the definition of step 4, uiFor the receiving end chaos system input signal, u1b、u2bWith u3bFor
TSM control strategy, it should be noted that the receiving end chaos system input signal uiIncluding following two parts, u1a、u2a
With u3aFor equivalent control part, u1b、u2bWith u3bFor TSM control part；So that in arbitrary initial state value,
Receiving end state of chaotic system can level off to receiving end state of chaotic system, i.e. z in finite timebi→zai(i=1,2,3)；
Also,
Wherein,
kn1i、kn2i、kn3i、kn4i、kn5iThe gain being positive, value determine by specific implementation case,
kiFor time-varying gain, initial value is taken as positive value, and regulating step is as follows:
Wherein, pi、qi, be positive odd number, εaiFor positive number, value is determined by specific implementation case,
Parameter kia> 0, kiIt (0) is kiInitial value, kiaWith ki(0) value also determines by specific implementation case,
Step 6: the non-linear recovery policy design of triple channel information based on logarithmic function
It proposes a kind of non-linear recovery policy of triple channel information based on logarithmic function, carries out information according to following formula
Restore decryption:
Wherein, k41、k42、k43、k51、k52、k53、k61、k62、k63、εb1、εb2、εb3The parameter being positive, value is also by specific
Case study on implementation is determining,
Then, decryption obtainsAnd obtainIt approaches and sends information s1(t)、s2(t)、s3(t)。
By above-mentioned six step, that is, realize provided by the present invention a kind of based on double Chen's chaotic systems and terminal sliding mode
Triple channel safe communication method.
It is worth noting that the design of above-mentioned equivalent control part design methods more other than tradition are much simpler, such as
Method control as follows:
u1a=-35 (e2-e1)
u2a=7e1-28e2-za1za3+zb1zb3
u3a=3e3+zb1zb2+za1za2。
The advantages of triple channel safe communication method based on double Chen's chaotic systems and terminal sliding mode, there is following four: one
Be to three-dimensional Chen's chaotic system, to it is every it is one-dimensional be superimposed chaotic signal, pass through triple channel simultaneous communications improve communication efficiency；
Secondly being to propose a kind of non-linear recovery policy of the triple channel based on logarithmic function, the precision of information decryption restoration is improved；
Third is to simplify the design of equivalent control in synchronizing process, while not influencing synchronization system also for double Chen's chaotic systems
Stability；The synchronizes rule fourth is that devising a kind of nonlinear terminal sliding mode, can accelerate receiving end Chen's chaotic system with
The synchronous speed of transmitting terminal Chen's chaotic system also improves the precision of Information recovering so as to shorten the time of information decryption.
Fifth is that by the way of modulates information state of chaotic system to be sent, even if transmitting terminal whole signal is trapped, it is also difficult to quilt
It cracks and obtains useful information signal, therefore increase the safety of communication.
Detailed description of the invention
Fig. 1 is a kind of triple channel safe communication method based on double Chen's chaotic systems and terminal sliding mode provided by the invention
Design flow diagram；
Fig. 2 is that the transmitting terminal Chen's chaotic system three condition of institute of embodiment of the present invention providing method changes over time curve；
Fig. 3 is first Chen's chaotic system state z of institute of embodiment of the present invention providing methoda1With information s1(t) pair
Than figure；
Fig. 4 is second Chen's chaotic system state z of institute of embodiment of the present invention providing methoda2With information s2(t) pair
Than figure；
Fig. 5 is the third Chen's chaotic system state z of institute of embodiment of the present invention providing methoda3With information s3(t) pair
Than figure；
Fig. 6 is the control adaptive adjusting gain curve of institute of embodiment of the present invention providing method；
Fig. 7 is the triple channel information of institute of embodiment of the present invention providing method and restores the comparison diagram of information after decrypting.
Specific embodiment
Embodiment
A kind of triple channel encryption communication method based on double Chen's chaotic systems and terminal sliding mode, and this method passes through meter
Calculation machine, which carries out analogue simulation, to be proved, is included the following steps:
Step 1: the building of transmitting terminal Chen's chaotic system
Following Chen's chaotic system is constructed in transmitting terminal, is described as follows:
Wherein, zai(i=1,2,3) is three states of transmitting terminal chaos system, andFor the transmitting terminal
The derivative of three states of chaos system,
The original state of transmitting terminal Chen's chaotic system is set as za1(0)=10.25, za2(0)=- 5.3, za3(0)=-
19.8, after being successfully tested, the state free movement curve of chaos system is as shown in Figure 2, wherein za2With za3Almost it is overlapped；
Step 2: information encryption and modulation
By three information s of triple channel to be sent1(t)、s2(t)、s3(t) three channels of above system are added, are mixed
Ignorant modulation, at this time the transmitting terminal chaos system are as follows:
s1(t)=0.1*sign (sin5t), s2(t)=0.2*sign (sin5t), s1(t)=0.3*sign (sin5t),
Wherein t represents the time, and sign () represents sign function, is defined as follows:
Then, the state of chaotic system z that will be obtained after triple channel modulates informationa1、za2With za3It is sent to from transmitting terminal
Receiving end,
Transmitting terminal only sends state of chaotic system information at this time, and state of chaotic system information is bigger, and is intended to transmit
Useful information is smaller, first state of chaotic system za1With information s1(t) comparison diagram is shown in that Fig. 3, amplitude fluctuation are greatly
Chaotic signal za1, it is hidden in therein for information signal s1(t)；Second state of chaotic system za2With information s2(t) comparison
Figure is shown in that Fig. 4, amplitude fluctuation are greatly chaotic signal za2, it is hidden in therein for information signal s2(t)；Third chaos system shape
State za3With information s3(t) comparison diagram is shown in that Fig. 5, amplitude fluctuation are greatly chaotic signal za3, it is hidden in therein for information signal
s3(t), it is seen that even if sending status information za1、za2With za3It is intercepted and captured by enemy, it is also difficult to crack out useful information s1(t)、s2(t)
With s3(t)；
Step 3: receiving end Chen's chaotic system construction
In receiving end, construction Chen's chaotic system is as follows:
Wherein, zbi(i=1,2,3) is three states of receiving end chaos system,It is mixed for the receiving end
The derivative of three states of ignorant system,
Z is set in this exampleb1(0)=0.7, zb2(0)=0.4, zb3(0)=0.8,
It is superimposed u respectively on above-mentioned Chen's chaotic system1、u2、u3WithReceiving end chaos system is such as at this time
Under:
Respectively transmitting terminal sends information s1(t)、s2(t)、s3(t) decryption restoration value,
It should be noted that the setting of above-mentioned initial value has no effect on the effect of secure communication, can arbitrarily choose；
Step 4: the design of Equivalent control law
According to transmitting terminal Chen Shi chaotic signal zai(i=1,2,3) with the signal z of receiving end Chen's chaotic systembi(i=1,
2,3) instrument error signal ei=zai-zbi(i=1,2,3), construction Equivalent control law are as follows:
u1a=35e2
u2a=28e2
u3b=zb1e2
Wherein, u1a、u2aWith u3aFor equivalent control strategy；
Step 5: the synchronously control rule construction based on terminal sliding mode
On the basis of the Equivalent control law of step 4, a kind of new terminal sliding mode synchronously control rule is designed, is specifically set
It counts as follows:
ui=-uia-uib(i=1,2,3)
Wherein, uiaThe definition of step 4 is consistent, uiFor the receiving end chaos system input signal, u1b、u2bWith u3bFor end
Sliding mode control strategy is held, it should be noted that the receiving end chaos system input signal uiIncluding following two parts, u1a、u2aWith
u3aFor equivalent control part, u1b、u2bWith u3bFor TSM control part；So that being connect in arbitrary initial state value
Receiving end state of chaotic system can level off to receiving end state of chaotic system, i.e. z in finite timebi→zai(i=1,2,3)；
SaiIt is defined as
kn1i、kn2i、kn3i、kn4i、kn5iThe gain being positive, kiFor time-varying gain, initial value is taken as positive value, regulating step
It is as follows:
Wherein, pi、qi, be positive odd number, εaiFor positive number, parameter kia> 0, kiIt (0) is kiInitial value,
Setting control gain parameter:
kn11=55, kn21=5, kn31=1, kn41=0.2, kn51=0.1
kn12=60, kn22=5, kn32=1, kn42=0.2, kn52=0.08
kn1i=70, kn2i=5, kn3i=1, kn4i=0.3, kn5i=0.09
Secondly, the odd constant of setting terminal sliding mode, chooses p at this timei> qi(i=1,2,3),
p1=5, q1=3, εa1=0.5,
p2=5, q2=3, εa2=0.5,
p3=5, q3=3, εa3=0.5
Finally, setting gain coefficient is as follows:
k1a=0.2, k1(0)=0.1；k2a=0.2, k2(0)=0.1；k3a=0.2, k3(0)=0.1；
It controls Gain Automatic adjustment curve and sees Fig. 6,
Step 6: the non-linear recovery policy design of triple channel information based on logarithmic function
The recovery decryption of information is carried out according to following formula:
Wherein, k41、k42、k43、k51、k52、k53、k61、k62、k63、εb1、εb2、εb3The parameter being positive, setting control parameter is such as
Under:
k41=250, k42=1550, k43=350, k51=500, k52=500, k53=400, k61=25, k62=20, k63
=30, εb1=0.2, εb2=0.2, εb3=0.5,
Then, it decryptsIt approaches and sends information s1(t)、s2(t)、s3(t), the triple channel obtained
Solution confidential information is shown in that Fig. 7, Fig. 7 get the bid quasi-square wave as the primary breath s that delivers letters1,s2,s3, another lighter curve is decryption restoration informationCompared with prime information, solve confidential information in addition to the jagged error of the initial segment of each step signal, the most of the time and
Original signal is consistent, and above-mentioned burr has no effect on the transmitting situation of digital signaling zero and 1, the judgement setting of low and high level threshold values
Glitch errors can be completed and eliminate work.Therefore entire triple channel encryption communication method is safe and reliable and feasible
's.
Claims (1)
1. a kind of triple channel encryption communication method based on double Chen's chaotic systems and terminal sliding mode, it is characterised in that including as follows
Step:
Step 1: the building of transmitting terminal Chen's chaotic system
Following Chen's chaotic system is constructed in transmitting terminal:
Wherein, zai(i=1,2,3) is three states of transmitting terminal chaos system, andFor the transmitting terminal chaos
The derivative of three states of system,
The initial state value z of the transmitting terminal chaos systemai(0), (i=1,2,3) is determined according to specific implementation case；
Step 2: information encryption and modulation
By three information s of triple channel to be sent1(t)、s2(t)、s3(t) three channels of the transmitting terminal chaos system are added,
Chaotic modulation is carried out, at this time the transmitting terminal chaos system are as follows:
Then, the state of chaotic system z that will be obtained after triple channel modulates informationa1、za2With za3Reception is sent to from transmitting terminal
End；
Step 3: receiving end Chen's chaotic system construction
In receiving end, construction Chen's chaotic system is as follows:
Wherein, zbi(i=1,2,3) is three states of receiving end chaos system,For receiving end chaos system
The derivative of three states of system,
Then, it is superimposed u respectively on the receiving end chaos system1、u2、u3WithReceiving end chaos system at this time
It is as follows:
Wherein, u1、u2With u3For the input signal of receiving end chaos system,Respectively transmitting terminal sends information s1
(t)、s2(t)、s3(t) decryption restoration value,
Receiving end Chen's chaotic system initial state value zbi(0), (i=1,2,3) and information decryption restoration value Selection determined by specific implementation case；
Step 4: the design of Equivalent control law
According to transmitting terminal Chen Shi chaotic signal zai(i=1,2,3) with the signal z of receiving end Chen's chaotic systembi(i=1,2,3
Structure) make error signal ei=zai-zbi(i=1,2,3), construction Equivalent control law are as follows:
u1a=35e2
u2a=28e2
u3a=zb1e2
Wherein, u1a、u2aWith u3aFor equivalent control strategy；
Step 5: the synchronously control rule construction based on terminal sliding mode
Terminal sliding mode synchronously control rule is as follows,
ui=-uia-uib(i=1,2,3)
Wherein, uiaIt is consistent with the definition of step 4, uiFor the receiving end chaos system input signal, u1b、u2bWith u3bFor terminal
Sliding mode control strategy, so that receiving end state of chaotic system can become in finite time in arbitrary initial state value
It is bordering on receiving end state of chaotic system, i.e. zbi→zai(i=1,2,3),
Also,
Wherein,
kn1i、kn2i、kn3i、kn4i、kn5iThe gain being positive, value determine by specific implementation case,
kiFor time-varying gain, initial value is taken as positive value, and regulating step is as follows:
Wherein, pi、qi, be positive odd number, εaiFor positive number, value is determined by specific implementation case,
Parameter kia> 0, kiIt (0) is kiInitial value, kiaWith ki(0) value is also determined by specific implementation case；
Step 6: the non-linear recovery policy design of triple channel information based on logarithmic function
The recovery decryption of information is carried out according to following formula:
Wherein, k41、k42、k43、k51、k52、k53、k61、k62、k63、εb1、εb2、εb3The parameter being positive, value is also by being embodied
Case is determining,
Then, decryption obtainsAnd obtainIt approaches and sends information s1(t)、s2(t)、s3(t)。
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Inventor after: Wang Xinyu Inventor after: Sun Weiming Inventor after: Wang Zhongxun Inventor after: Lei Junwei Inventor before: Wang Xinyu Inventor before: Lei Junwei Inventor before: Wang Zhongxun |
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Denomination of invention: A three channel secure communication method based on double Chen chaotic system and terminal sliding mode Effective date of registration: 20211214 Granted publication date: 20210126 Pledgee: Yantai financing guarantee Group Co.,Ltd. Pledgor: Yantai University Registration number: Y2021980014841 |
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Date of cancellation: 20220317 Granted publication date: 20210126 Pledgee: Yantai financing guarantee Group Co.,Ltd. Pledgor: Yantai University Registration number: Y2021980014841 |