TW201025982A - Chaotic security communication system - Google Patents

Abstract

A chaotic security communication system is disclosed, comprising: a chaotic master-control end, a synchronous controller, and a chaotic slave end. The chaotic master-control end is designed to transmit encrypted digital signal. The chaotic slave end is designed to receive the encrypted digital signal and then decrypt it. The synchronous controller is designed to synchronize the chaotic master-control end with the chaotic slave end.

Description

201025982 VI. Description of the Invention: [Technical Field] The present invention relates to a chaotic safety communication system, and more particularly to a hybrid communication safety communication system for synchronization control. [Prior Art]

The chaotic signal is a seemingly chaotic but hidden rule. In 1963, Lorenz used the atmospheric simulation equation to see the chaos for the first time. By 1978, Feigenbaum proposed a mixed death system. General theory, since then, chaos has been widely proposed in various fields, including communication, biology, mathematics, physics, chemistry, and even economic aspects can see the phenomenon of shuffling, and then, how to control the chaos The phenomenon has become the focus of research in this field. Shuffle is a long-term non-periodic behavior' and it has two distinct characteristics: Deterministic and Sensitive to initial condition, and the decisive representation of the day is seemingly chaotic. The nonlinear response, but it is carried out according to the rules of the first (ie, the equation), as for the sensitivity of the initial value = 疋 of the orbit in the chaotic system, even if it is close, it will protect the fast, so that the separation, Based on this feature, the chaotic system should always be 曰 = all forms. The main prior art processing is analogous to the signal, but the communication security is susceptible to noise interference, and its signal is directly connected to the public channel after the signal is combined with the signal, which is vulnerable to the filter attack. SUMMARY OF THE INVENTION In view of the above-described problems of the prior art, it is an object of the present invention to provide a chaotic secure communication system that addresses the shortcomings of the prior art. In accordance with the purpose of the present invention, a chaotic secure communication system is provided that includes a chaotic master, a synchronization controller, and a chaotic servant. The chaotic master transmits a digitally encrypted signal, and the chaotic servant receives the digital encrypted signal and decrypts the digital encrypted signal to generate a digital signal. The synchronous controller is used to synchronize the chaotic master and the chaotic servant. Among them, the encrypted digital signal is embedded in the mixed control mode, and the synchronous controller is constructed by the sliding mode control theory. The chaotic servant uses the concept of the equivalent controller to decrypt the encrypted digital signal. According to still another object of the present invention, a chaotic safety communication system is proposed, which combines the random and unpredictable characteristics of the chaotic system and the sliding mode control theory, thereby designing a synchronous control circuit of the chaotic system, and further implementing the chaotic safety communication system. In this chaotic safety communication system, the sliding mode control theory is used to synchronize the two chaotic systems (ie, the chaotic master and the chaotic servant), and the signal generated by the sliding mode control theory has better robustness ( Robustness), which has better control of the uncertainty caused by system parameters. The circuit designed by the invention can restore the encrypted digital signal embedded in the chaotic master terminal to the original digital signal at the chaotic servant end. It is worth mentioning that the encrypted digital signal 4 201025982 embedded in the chaotic master does not appear in the public channel, so the thief cannot obtain the relevant information content in the public domain. Effectively improve the effectiveness of confidentiality. The invention is different from the previous method of using the masking by the chaotic secure communication system, and the invention utilizes the embedded method to effectively prevent attacks by means of filters and the like, and improve the security of the mixed-chaotic secure communication. . [Embodiment] ❿ In general, a chaotic system is an extremely complex dynamic nonlinear system with a fairly broad Fourier spectrum, and because the chaotic system is quite sensitive to initial values, it has unpredictable trajectories. Therefore, please refer to Fig. 1, which is a block diagram of an embodiment of the chaotic secure communication system of the present invention. In the figure, the chaotic safety communication system comprises a chaotic master terminal 11, a synchronization controller 12 and a chaotic servant terminal 13. The chaotic master 11 transmits a digital encryption signal 111, and the chaotic servant 13 receives the digital encrypted signal 111 and decrypts the digital encrypted signal 111 to generate a digital signal 131. The synchronous controller 12 is used to make the chaotic master 11 and the chaotic servant 13 reach synchronization. The encrypted digital signal 111 is immersed in the chaotic host 11 in an embedded manner, the synchronous controller 12 is constructed by a sliding mode control theory, and the chaotic servant 13 is transmitted through the synchronous controller 12 and utilized. An equivalent control means to decrypt the encrypted digital signal 111. The digital encrypted signal 111 to be transmitted is embedded in the chaotic master 11 , and in the chaotic servant 13 , the synchronous controller 12 with the sliding mode theory is added to synchronize the chaotic master 11 and the chaotic servant 13 . 5 201025982 And further utilizing the concept of the equivalent controller, the digital encryption signal 111 embedded in the chaotic master 11 is solved in the chaotic servant 13 to generate the digital signal 131 to meet the requirements of secure communication. Where Xm is the state variable vector of the chaotic master 11 , Xs is the state variable vector of the chaotic servant 13 , Xm-Xs is the error vector, and the error vector is defined as e, ie e=Xm-Xs, u Output for the sync controller. The invention takes the Sprott chaotic system as an example, but the practical application is not limited to this system. The Sprott chaotic system is mainly a series of dynamic nonlinear systems based on a third-order differential equation. The original differential equation is as follows: X + 0.6. Ϋ + X = G(x) (1) where G(x) is a function of discontinuous segments. The state variables of chaotic master 11 and chaotic servant 13 are as follows:

.Tj = X , x2 = X t X3 = XG(x) = -l.2x+ 2sigti{x) After finishing, the following differential equations are obtained: χχ ~ χ2 (2) x2 = X3 (3) x3 = -1.2 .Tj - x2 - 0.6x3 + ) (4) This chaotic safety communication system can be divided into chaotic master ll (master) and mixed; 屯 servant 13 (slave) two parts, and in this system In the design, the chaotic system used is the Sportt system, and its Master-Slave hybrid system is expressed as follows: (5) 201025982 xmi = xm2

Cm2= xm3 X, «3 wl, 2 + 2 ridge,) + tons)

Slave's equation s2 Lu (6) o ~ 〇广~~ 0,6~+2·(~)+_ x , Xnl, Xm2&Xm3 are the state variables of the chaotic master 11 , tiXS2 and & The state variable from the terminal 13 is m(t) ', which is the digital encryption signal 111 to be transmitted by the shuffling master U, and is the synchronous controller 12 with the sliding mode theory which is mainly designed in the invention. Furthermore, the definition of the error function e is as follows: ht : / = 1,23 Equation (7) expands to obtain: (7) si 52 (8) == The following dynamics can be inferred from equation (5) to equation (7) The error equation: 201025982 — _ 1·2 This i - _ Ο - ό β 〗 + w (?) _ m{f} (9) From (9) can be inferred, if the operating equation of the synchronous controller 12u (t) As follows: liin|^(/)|| = liin||[^(/) ^2(/) ^W]|=0 t—^c〇 can infer the following formula:

=0 =0 ^3(/) = = 0 So, you can further infer "(0 = 7 tons) (10). From equation (10), the synchronous controller u(t) with sliding mode theory will gradually approximate m(t). In order to synchronize the state of the Master-Slave system, the state of the system is synchronized, that is, el, e2, and e3 are close to zero. * The design method uses sliding mode control to design the synchronous controller 12 to make the Master-Slave mix. ; The system is synchronized. E3 = -1.2^ -e2- 0.0^3 + w(〇_ . It is worth mentioning that to make Master-Slave mix; 屯 system synchronization, you need to design the appropriate conversion for dynamic error equation (9) In this way, the dynamic behavior of the system on the conversion surface is characterized by the system requirements. Secondly, the synchronous controller 12 with the sliding mode is designed to enable the system to smoothly enter the conversion surface of the design and stay on the conversion surface. The definition is as follows: 8 201025982 S(t) = αλβχ + aze2 + e3 (11) where SWei?, and al and a2 are the parameters of the design. When the system enters the sliding mode, its dynamics satisfy the following equation: _ = 0 (12 ) 1_ = 〇 Therefore, the system can infer the following results in the sliding mode.

❹ S(t) = axex + α2έ2 + e3 = 0 (13) => ez= ~αλΘχ ~a2e2 ((4) From equation (14), if the parameters of ai and a2 are properly selected, al > 0 and a2> 0 'In the sliding mode, 'ei + 〇 and e2+〇, and (11) can be used to derive e3+ 0 '. This means that the Master-Slave hybrid system is synchronized and the appropriate conversion surface has been established (丨丨) Then, 'design a sliding mode synchronous controller 12 to drive the track of the Master-Slave chaotic system into the sliding mode s=〇, which is designed as follows: ιι(ύ — lh ~ ?sign(S) ; 7 > 7 \ > |»j(0| (15) nx = \.2ex + {αχ ~\)e2 + {α2 -0.6)e3 (16) Then substituting (15) into the following formula

S(t)S(t) = S(t)(e3 + + a2e2Y = 5(0(-1.2^ - e2 - 0.6^3 + U(t) ~ m(t) + a,e2 + a2e3) = - pign(S)) < ^||Μ(ί) - <〇(17) 201025982 From equation (17), it can be seen that the synchronous controller 12 selects the equation (15) to put the system into the sliding mode. The equation can also be replaced by a continuous function to obtain the following results: (18) where σ is a very small positive number, so (18) will approximate (15), and the digitally encrypted signal 111 embedded in the chaotic master 11 will It can be restored by the synchronous controller 12 with a sliding mode. • 第 Refer to Figure 2, which is the circuit diagram of the chaotic master terminal of the chaotic safety communication system of the present invention. In the figure, the chaotic master circuit can be expressed by the following equation: ^«1 = -^2 too "2 = - 0, 63⁄4 + 2 kiss (~) + muscle (7). Referring to Figure 2B, it is a chaotic servant circuit diagram of the chaotic security communication system of the present invention. The chaotic servant circuit in the figure can be expressed by the following equation: =3⁄4 ^2 = ^3 矣3 1.23⁄4 _ '2 - 〇 .63⁄4 + 丨 丨 (4)) + M(1). The conversion plane design of the 'chaotic master terminal circuit and the chaotic servant circuit is Φ) = + 3e2 + . ° ° Figure 2C is a circuit diagram of the conversion plane of the hybrid safety communication system of the present invention. As shown in Figure 1, to make 201025982

The master-Slave chaotic system is synchronized, and the dynamic error equation (9) is required to design an appropriate conversion surface to make the dynamic behavior of the system on the conversion surface possess the characteristics of the system requirements. Secondly, a synchronous controller 12 with a sliding mode is designed to enable the system to smoothly enter the transition surface of the design and stay on the conversion surface. The circuit design of the conversion surface is as shown in Fig. 2C, which enables the system to enter the conversion surface generated by the conversion surface circuit and cause the system to stay on the conversion surface.

The circuit design of the synchronous controller is shown in Fig. 2D, and the 2D diagram is a circuit diagram of the synchronous controller of the chaotic secure communication system of the present invention. The synchronous controller circuit can be described by the following equation: ▲eq (t) = Ui (ί) - r s{t) 5, σ = 0.09

It is worth mentioning that in order to make the decrypted digital signal closer to the original digital signal, the present invention adds a comparator circuit to make the reconstructed signal closer to the original signal. This comparator circuit is shown in Fig. 2E, and Fig. 2E is a comparator circuit diagram of the chaotic secure communication system of the present invention. The comparator circuit enables the decrypted digital signal to be closer to the original unencrypted digital signal. Please refer to FIG. 3A to FIG. 3C, which are schematic diagrams of signal synchronization of the main servant system of the chaotic safety communication system of the present invention. In the figure, it is a signal synchronization diagram of the main servant system formed by the chaotic master and the chaotic servant. The signals xmi, xm2 and Xm3 of the chaotic master and the signals Xsl and XS2 of the shuffling servant are Xs3 is when it is added to the synchronous controller with sliding mode. Xml and XS1 are synchronized by the synchronous controller using equivalent control, 11 201025982

Xm2 and XS2 are synchronized by the synchronous controller by means of equivalent control. Finally, Xm3 and Xs3 are synchronized by the synchronous controller by equivalent control. Please refer to FIG. 3D, which is a schematic diagram of the encryption and decryption digital signal of the chaotic secure communication system of the present invention. In the figure, m(t) is the original unencrypted digital signal in the chaotic master, Ueq(1) is the decrypted digital signal displayed by the synchronous controller, and the waveforms of the two are the same. It is known that the present invention can completely decrypt the encrypted digital signal via the chaotic master. The above is intended to be illustrative only and not limiting. Any equivalent modifications or alterations to the spirit and scope of the invention are intended to be included in the scope of the appended claims. BRIEF DESCRIPTION OF THE DRAWINGS FIG. 1 is a block diagram of an embodiment of a chaotic secure communication system of the present invention; FIG. 2A is a circuit diagram of a chaotic master terminal of the chaotic secure communication system of the present invention; FIG. 2B is a view of the present invention The chaotic servant circuit diagram of the chaotic safety communication system; the 2C diagram is the conversion plane circuit diagram of the chaotic safety communication system of the invention; the 2D diagram is the synchronization controller circuit diagram of the chaotic safety communication system of the invention; 12 201025982 2E is a comparator circuit diagram of the chaotic safety communication system of the present invention; 3A to 3C are schematic diagrams of signal synchronization of the main servant system of the chaotic safety communication system of the present invention; and 3D is a chaos of the present invention Schematic diagram of the encryption and decryption digital signal of the secure communication system.

[Main component symbol description] 11: chaotic master; 111: digital encryption signal; 12: synchronous controller; 13: chaotic servant; 131: digital signal; e: error vector;

Xm : state variable vector;

Xs : state variable vector; and u : synchronous controller output. 13

Claims (1)

201025982 VII. Patent application scope: 1. A chaotic safety communication system, comprising: a chaotic master end, transmitting a digital encryption signal; a chaotic servant receiving the digital encryption signal and decrypting the digital cone signal To generate a digital signal; and a synchronization controller for synchronizing the chaotic master and the chaotic servant. ' ❹ 2 · The chaotic secure communication system as described in the scope of claim 2, wherein the digitally encrypted signal is embedded in the hybrid master in an embedded manner. 3. The chaotic secure communication system as claimed in claim i, wherein the synchronous controller is constructed in a sliding mode control theory. 4. The chaotic secure communication system of claim 2, wherein the shuffling servant uses an equivalent control to decrypt the encrypted digital signal through the synchronization controller. For example, the chaotic secure communication system described in claim 1 is characterized in that the chaotic master and the chaotic servant comprise a transition plane. 6. The chaotic secure communication system of claim 1, wherein the chaotic servant further comprises a comparator to reduce the error of the digitized signal after decryption.