TW202345562A - Embedded type information security transmission system based on chaos synchronization and transmission method thereof - Google Patents

Abstract

An Embedded type information security transmission system based on chaos synchronization, which is applied for data transmission between a transmission end and a receive end, includes a chaotic module, an embedding module, and a synchronization module. The chaotic module establishes a master dynamic formula at the transmission end and establishes a slave dynamic formula at the receive end, and also applied for entering control signal. The embedding module is applied for inputting a to-be-transmitted embedding signal to the master dynamic formula. The synchronization module defines an error vector to obtain an error dynamic. The synchronization module synchronizes the chaotic module to make the error dynamic be zero. The embedding signal is equal to the control signal. The chaotic module allows the embedding signal to be promptly reestablished at the receive end, assuring data transmission security.

Description

Embedded information security transmission system and transmission method based on chaos synchronization

The invention relates to the field of information transmission, in particular to an embedded information secure transmission system and its transmission method based on chaotic synchronization.

The Internet of Things (IoT, Internet of Thing) has become scalable and diverse with the increase in 5G network bandwidth speed and the diversification of connected devices. However, the machines or other sensing nodes connected to the IoT If the module lacks security or has a weakened security mechanism, important transmitted data will be leaked. Therefore, information security issues have become the primary issue in IoT transmission.

Chaotic system is a highly complex nonlinear system. Its dynamic behavior is quasi-random and non-periodic, and it has characteristics such as great sensitivity to the starting value (butterfly effect) and strange attractor. Based on chaos, The random number generator designed in theory can be used in symmetric encryption. By establishing a master-server chaos system at both the sending and receiving ends, high-quality keys can be designed and thrown away to solve the problem of key storage and Distribution and other problems to solve the shortcomings of traditional symmetric encryption.

Considering that the initial value of the encryption and decryption system must be the same, the chaotic system needs to be synchronously controlled. However, if the system is suddenly disturbed during operation and produces a very small state difference, due to the chaos of the chaotic system, Due to the butterfly effect, the keys at the transmitting and receiving ends will become completely different, causing synchronization control to fail, thereby affecting data transmission.

In order to solve the above problems, the present invention provides an embedded information secure transmission system and its transmission method based on chaotic synchronization, which can achieve secure data transmission between the transmitting end and the receiving end through the design of the synchronization controller.

To achieve the above object, one embodiment of the present invention provides an embedded information secure transmission system based on chaos synchronization, which is used for data transmission between a sending end and a receiving end. The information secure transmission system includes: a Chaos module, an embedded module and a synchronization module; the chaos module establishes a master dynamic equation at the sending end and a slave dynamic equation at the receiving end; the chaos module provides an input control signal; the embedded module Coupled to the chaos module, the embedded module is used to input an embedded signal to be transmitted into the main dynamic equation; the synchronization module is coupled to the chaos module, and the synchronization module defines an error vector to obtain an error dynamics. The synchronization module The chaos module is synchronized so that the error dynamic is 0 and the embedded signal is equal to the control signal. The chaos module can enable the embedded signal to be reconstructed in real time at the receiving end.

One embodiment of the present invention provides an embedded information secure transmission method based on chaos synchronization, which includes a chaos equation establishment step, an embedding step, a synchronization step and a reconstruction step; in the chaos equation establishment step, in a The transmitting end establishes a main dynamic equation, and a receiving end establishes a slave dynamic equation, and provides an input control signal; in the embedding step, an embedded signal to be transmitted is input to the main dynamic equation; in the synchronization step, An error vector is defined to obtain an error dynamic, and the main dynamic equation and the slave dynamic equation are processed synchronously so that the error dynamic converges to 0 and the embedded signal is equal to the control signal; in the reconstruction step, the embedded signal is reconstructed in real time at the receiving end.

In this way, the present invention is based on the embedded information security transmission system and its transmission method based on chaos synchronization. By inputting an embedded signal to be transmitted to the chaos module through the embedded module, it can ensure that the chaotic behavior of the chaotic module is not compromised. Destruction, maintaining the random quality of the original chaos module, with a more flexible application design.

In addition, the synchronization processing of the chaos module through the synchronization module allows the embedded signal to be reconstructed in real time at the receiving end, ensuring secure data communication between the transmitting end and the receiving end.

In order to facilitate the explanation of the central idea of the present invention expressed in the above summary column, specific embodiments are hereby expressed. Various objects in the embodiments are drawn according to proportions, sizes, deformations or displacements suitable for illustration, rather than according to the proportions of actual components, and are explained first.

Referring to Figures 1 to 8, the present invention provides an embedded information security transmission system and transmission method based on chaotic synchronization, which is used for data transmission between a sending end 1 and a receiving end 2; in In this embodiment, the sending end 1 and the receiving end 2 can be various personal computers, notebook computers, smart mobile devices or microcontrollers.

The information security transmission system 100 includes: a chaos module 10, an embedded module 20, a synchronization module 30, a modulation module 40, a verification module 50 and a discrete module 60; wherein, the embedded module The group 20 and the synchronization module 30 are coupled to the chaos module 10 , the modulation module 40 is coupled to the synchronization module 30 , and the verification module 50 and the discrete module 60 are coupled to the synchronization module 30 and the modulation module 40 .

The chaos module 10 establishes a master dynamic equation at the transmitter 1 and a slave dynamic equation at the receiver 2. The chaos module 10 provides an input control signal.

In this embodiment, the main dynamic equation is: ; The servant dynamic equation is: ;

in, and is the system matrix, To control the signal, and is a nonlinear term, for embedded signals.

The embedded module 20 is used to input an embedded signal to be transmitted into the main dynamic equation.

The synchronization module 30 defines an error vector to obtain an error dynamics. The synchronization module 30 performs synchronization processing on the chaos module 10 so that the error dynamics is 0, and the embedded signal is equal to the control signal. Thus, while ensuring system synchronization , the chaos module 10 can enable the embedded signal to be reconstructed in real time at the receiving end 2. Since the embedded signal embedded in the transmitting end 1 will not appear in the public channel, it is extremely advantageous for encryption and decryption.

To further explain, unlike the conventional method of directly using other signal masks to transmit signals, the embedded module 20 of this invention embeds the embedded signal into the sending end 1 system. After being mapped by the sending end 1 system, the embedded signal It will not appear on the public channel of transmission. Since the information transmitted by the public channel does not contain embedded signals, the level of communication security can be greatly improved.

In this embodiment, the error vector is defined as .

The modulation module 40 has a sliding mode control unit 41 and an error convergence unit 42. The sliding mode control unit 41 is used to adjust the characteristics of the nonlinear system of the synchronization module 30 to ensure the stability of the synchronization module 30. The error convergence unit 42 It is used to adjust the synchronization error of the synchronization module 30 so that the synchronization error converges to the minimum.

The sliding mode control unit 41 can establish a switching surface (Switching Surface) so that the error dynamically enters a sliding mode. When the error dynamically enters the sliding mode, the switching surface is 0. The error convergence unit 42 uses a linear-quadratic method to dynamically minimize the error.

The verification module 50 is used to confirm that the error dynamically enters the sliding mode. In this embodiment, the verification module 50 confirms that the error dynamically enters the sliding mode through a Lyapunov function.

The discrete module 60 is used to discretize the conversion surface and error dynamics to facilitate subsequent implementation on the circuit. In this embodiment, the Euler Method is used to discretize the conversion surface and error dynamics.

The above content is to illustrate a specific embodiment of the embedded information secure transmission system 100 based on chaos synchronization provided by the present invention. The information secure transmission method 200 of the information secure transmission system 100 is further described below. As shown in Figure 3, the information secure transmission system 100 is further described below. The secure transmission method 200 includes a chaos equation establishing step S1, an embedding step S2, a synchronization step S3 and a reconstruction step S4.

In the chaos equation creation step S1, the chaos module 10 establishes the master dynamic equation at the sending end 1 and establishes the slave dynamic equation at the receiving end 2. The master and slave dynamic equations are expressed as follows:

The main dynamic equation is: (1) The servant dynamic equation is: (2)

in, is the system matrix, To control the signal, and is the nonlinear term of chaos module 10, for embedded signals.

In the embedding step S2, the embedded module 20 transmits the embedded signal to Input to main dynamic equation .

In the synchronization step S3, the synchronization module 30 defines the error vector To obtain the error dynamics , and for the main dynamic equation and dynamic equation Perform synchronization processing, where the error vector As follows: ;

Error dynamics The derivation is as follows: (3)

in, . When the system is synchronized, the error vector converges to 0, , at the same time due to , also converges to 0, whereby the equivalent error dynamics can be obtained according to equation (3) ,As follows: (4)

In the reconstruction step S4: the embedded signal is reconstructed in real time at the receiving end 2 , where, the cause matrix is a non-zero system matrix, so it can be deduced that , embedded signal equal to control signal , so the embedded signal , it will be possible to reconstruct at the receiving end 2 while ensuring system synchronization.

In this embodiment, the information secure transmission method 200 further includes a modulation step P1. In the modulation step P1, the sliding mode control unit 41 adjusts the characteristics of the nonlinear system of the synchronization module 30 to ensure the stability of the synchronization module 30. , the error convergence unit 42 adjusts the synchronization error of the synchronization module 30 so that the synchronization error converges to a minimum.

The sliding mode control unit 41 is capable of establishing a switching surface , so that the error is dynamic Enter sliding mode, and the conversion surface is designed as follows: (5)

in, ,so ,and is the control gain matrix to be designed.

By differentiating equation (5), we can get (6)

When the controlled master-server error dynamically enters sliding mode, , conversion surface is 0, so the equivalent control signal can be obtained from equation (6) ,As follows: (7)

In the case of synchronization, the error converges to 0, and at the same time also converges to 0, so it can also be deduced as in equation (4), we get .

In addition, the error convergence unit 42 adopts a linear quadratic programming method to obtain the control gain matrix in equation (5) , so that the error is dynamic To minimize, consider the cost function as follows: (8)

in, , is a positive define matrix.

According to the above performance function, the algebraic Riccati equation can be obtained as follows: (9)

in, is a positive definite symmetric matrix. In this way, the control gain matrix can be obtained ,As follows: (10)

In this embodiment, the information secure transmission method 200 further includes a verification step P2. In the verification step P2, the verification module 50 confirms the error dynamics. Enter said sliding mode.

To ensure error dynamics Enter the sliding mode and control the signal The design is as follows: (11)

Putting equation (11) into equation (6) we can get: (12)

in, , is a positive number, Select as ,in .

The verification module 50 is used to prove the control signal able to ensure error dynamics Enter the sliding mode to verify through the Lyapunov function. The Lyapunov function is as follows: (13)

Differentiating equation (13), we can get (14)

From equation (14), it can be seen that when choosing Hour, . Therefore, it is guaranteed that the control signal As shown in equation (11), ensuring that the conversion surface It can converge to 0, which means it can smoothly enter the sliding mode.

In this embodiment, the information secure transmission method 200 further includes a discrete step P3. In the discrete step P3, the discrete module 60 converts the plane and error dynamics Discretize to facilitate subsequent implementation on the circuit.

Known sliding mode control, due to the use of symbolic functions , so there will be a problem of chattering (Chattering Phenomenon). In order to solve this problem, the present invention will first use the saturation function replace sign function , can be confirmed in the parameter In small cases, the impact on system control performance is very small. saturation function The definition is as follows: (15)

Among them, parameters is an arbitrarily small positive number, so a continuous sliding mode control signal can be obtained As follows: (16)

After obtaining the continuous sliding mode control signal Later, in order to implement this controller using a microcontroller, digital redesign technology was further used to convert the continuous input into a discrete controller while maintaining the original control performance.

First, use the Euler Method to discretize equation (6) to get (17)

in, is the sampling time.

In order to ensure that sliding mode can still be entered in discrete time, Lemma 1 is used as follows: Consider the following arrival conditions, ; ;

in, , . If the above arrival conditions are met, the system trajectory will converge to , that is, you can enter sliding mode.

It can be calculated from Lemma 1: , (18) , (19)

Therefore, according to Lemma 1, we know will converge to , that is, you can enter sliding mode.

When entering the sliding mode, as shown in equation (7), , so the error dynamics can be discretized as follows: ) (20)

in , .

Due to Zero-Order-Hold (ZOH), the control signal ) can be expressed as follows:

therefore, )satisfy (twenty one)

According to equation (20), equation (21) can be rewritten as follows: (twenty two)

in, .

In the same way, equation (5) is also discretized as follows: (twenty three) (twenty four)

Using the digital redesign method and citing the saturation function such as (15), the discrete sliding mode can be designed as follows: (25)

In this way, the digital microcontroller can be used to realize sliding control, which is very convenient for circuit implementation.

As shown in Figures 2 to 8, the embodiment of the present invention further verifies the effect of system synchronization control and communication security transmission through simulation. In this embodiment, the chaos module 10 uses the Lorenz chaos system for simulation analysis. First, the Lorenz chaotic system rewrites the master-servant dynamic equations expressed by equations (1) and (2) as follows: ,as well as ;

in, , , , .

The embedded signal embedded in the transmitter 1 for: .

The control parameters in (25) , , .

The weight matrix in equation (8) ,and .

gain matrix It can be calculated as follows: ;

Using the above digital redesign method, we can get , as well as for: ; ; .

Among them, Lorenz chaotic system, the starting value is selected as as well as .

As shown in Figures 2, 4 and 5, it can be observed that the synchronization error of the chaos module 10 quickly converges to 0, and the synchronization module 30 can indeed make the chaos module 10 achieve synchronization quickly.

As shown in Figure 6 to Figure 7, you can observe the control signal (This signal is Continuous signal after zero-order-hold) and embedded embedded signal The error between, as mentioned before, the error can quickly converge to 0.

As shown in Figure 8, the present invention can also converge to 0 under the action of digitally redesigned sliding mode control.

Based on the above, the embedded information secure transmission system 100 and its information secure transmission method 200 based on chaos synchronization of the present invention can input the embedded signal to be transmitted to the chaos module 10 through the embedded module 20, and can ensure that the chaotic mode The chaotic behavior of Group 10 is not destroyed, and the random quality of the original Chaos Module 10 is maintained, with a more flexible application design.

In addition, the synchronization module 30 performs synchronization processing of the chaos module 10, and the modulation module 40 modulates the synchronization processing, which can effectively control the chaos module 10 to achieve synchronization, so that the embedded signal can be reconstructed in real time at the receiving end 2, and Ensure data security communication between the sender 1 and the receiver 2, thereby widely providing the secret data communication required in the design of future communication security systems.

The above embodiments are only used to illustrate the present invention and are not intended to limit the scope of the present invention. All modifications or changes that do not violate the spirit of the present invention fall within the scope of the invention.

1: Sender 2: Receiver 100:Information security transmission system 10: Chaos Module 20: Embedded module 30: Synchronization module 40: Modulation module 41: Sliding mode control unit 42: Error convergence unit 50: Verification module 60: Discrete module 200: Information security transmission method S1: Steps to establish chaos equation S2: Embedding step S3: Synchronization steps S4: Reconstruction steps P1: Modulation steps P2: Verification steps P3: discrete steps

Figure 1 is a schematic diagram of the system connection of the present invention. Figure 2 is a block diagram of the system architecture of the present invention. Figure 3 is a step flow chart of the present invention. Figure 4 is a schematic diagram of the state response of the chaos module of the present invention. Figure 5 is a schematic diagram of the synchronization error of the present invention. Figure 6 is a schematic diagram of embedded signals and digitally redesigned sliding control signals of the present invention. Figure 7 is a schematic diagram of the error between the embedded signal and the control signal of the present invention. Figure 8 is a schematic diagram of the conversion function response of the present invention.

100:Information security transmission system

10: Chaos Module

20: Embedded module

30: Synchronization module

40: Modulation module

41: Sliding mode control unit

42: Error convergence unit

50: Verification module

60: Discrete module

Claims (10)

An embedded secure information transmission system based on chaos synchronization, which is used to transmit data between a sending end and a receiving end. The secure information transmission system includes: A chaos module that establishes a master dynamic equation at the sending end and a slave dynamic equation at the receiving end, and the chaos module provides an input control signal; An embedded module coupled to the chaos module, the embedded module is used to input an embedded signal to be transmitted into the main dynamic equation; and A synchronization module coupled to the chaos module, the synchronization module defines an error vector to obtain an error dynamics, the synchronization module performs synchronization processing on the chaos module so that the error dynamics is 0, and the embedded The signal is equal to the control signal, and the chaos module enables the embedded signal to be reconstructed in real time at the receiving end. An embedded information secure transmission system based on chaos synchronization as described in claim 1, wherein the main dynamic equation is , the servant dynamic equation is ,in, and is the system matrix, For this control signal, and is a nonlinear term, for the embedded signal. The embedded information security transmission system based on chaotic synchronization as described in claim 1 further includes a modulation module coupled to the synchronization module, the modulation module has a sliding mode control unit, the sliding mode The control unit establishes a conversion surface so that the error dynamically enters a sliding mode. When the error dynamically enters the sliding mode, the conversion surface is 0. The embedded information secure transmission system based on chaotic synchronization as described in claim 3, wherein the modulation module has an error convergence unit that dynamically minimizes the error using a linear quadratic programming method. The embedded information security transmission system based on chaos synchronization as described in claim 3 further includes a verification module coupled to the synchronization module and the modulation module, and the verification module is used to confirm the error dynamics Enter this sliding mode. An embedded information secure transmission method based on chaos synchronization, which includes the following steps: A chaos equation establishment step: establish a master dynamic equation at a transmitting end, establish a slave dynamic equation at a receiving end, and provide an input control signal; An embedding step: input an embedding signal to be transmitted into the main dynamic equation; A synchronization step: define an error vector to obtain an error dynamics, and synchronize the main dynamic equation and the slave dynamic equation so that the error dynamics converges to 0, and the embedded signal is equal to the control signal; and A reconstruction step: reconstruct the embedded signal in real time at the receiving end. The embedded information secure transmission method based on chaos synchronization as described in claim 6, wherein the main dynamic equation is , the servant dynamic equation is ,in, and is the system matrix, For this control signal, and is a nonlinear term, for the embedded signal. The embedded information secure transmission method based on chaotic synchronization as described in claim 6 further includes a modulation step: establishing a conversion surface, and dynamically making the error enter a sliding mode, and the conversion surface is 0. The embedded information secure transmission method based on chaotic synchronization as described in claim 8, wherein in the modulation step, a linear quadratic programming method is further used to dynamically minimize the error. The embedded information secure transmission method based on chaos synchronization as described in claim 8 further includes a verification step for confirming that the error dynamically enters the sliding mode.

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