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Lorenz chaotic synchronization method based on intelligent gain feedback adjustment

A feedback adjustment and chaotic synchronization technology, which is applied in secure communication through chaotic signals, digital transmission systems, electrical components, etc., can solve the problems of complex implementation of chaotic synchronization schemes, large dependence on accurate models, and low synchronization accuracy.

Inactive Publication Date: 2016-09-21
YANTAI UNIV
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Problems solved by technology

[0005] The purpose of the present invention is to provide a state measurement based on the Lorentz-driven chaotic system and the response system, construct feedback according to the state error information, and adopt the method of gain intelligent adjustment to realize the synchronization of the Lorentz-driven chaotic system and the response chaotic system, It aims to solve the problems that the implementation of the current chaotic synchronization scheme is complicated, the synchronization accuracy is not high, and the dependence on the accurate model is large

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  • Lorenz chaotic synchronization method based on intelligent gain feedback adjustment
  • Lorenz chaotic synchronization method based on intelligent gain feedback adjustment
  • Lorenz chaotic synchronization method based on intelligent gain feedback adjustment

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Embodiment Construction

[0090] The present invention will be described in detail below in conjunction with the accompanying drawings and specific embodiments.

[0091] A method for synchronizing Lorenz chaotic systems based on intelligent gain feedback adjustment, such as figure 1 shown, including the following steps:

[0092] Step 1: Measure the state x of the Lorentz-driven chaotic system as follows 1 ,y 1 ,z 1 ,And a:

[0093] x · 1 = α 1 ( y 1 - x 1 )

[0094] y · 1 = γ 1 x 1 - x 1 z 1 - y ...

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Abstract

The invention discloses a Lorenz chaotic synchronization method based on intelligent gain feedback adjustment. By using the measurement information of a Lorenz driving chaotic system and a response system, an error system is formed, then a synchronization rule is formed by the intelligent gain feedback adjustment of an error, and finally the synchronization of an uncertain Lorenz driving chaotic system and a response chaotic system is realized. The method comprises the steps of (1) measuring the state information x1, y1 and z1 of the Lorenz driving chaotic system and constructing a driving chaotic system, (2) measuring the state information x2, y2 and z2 of a Lorenz response system and constructing the response chaotic system, (3) constructing a virtual error systems ex, ey and ez and calculating the states e1, e2 and e3 of the error system, and (4) constructing error feedback synchronization control rules u1, u2 and u3, and designing related coefficients. The invention provides the Lorenz chaotic synchronization method based on the intelligent gain feedback adjustment, and the scheme is simple to realize by only using the state error information of a driving response system.

Description

technical field [0001] The invention belongs to the technical field of synchronizing a chaotic system in chaotic secure communication, and in particular relates to a method for synchronizing a Lorenz chaotic system based on intelligent gain feedback adjustment. Background technique [0002] Due to the sensitive dependence of chaos on initial conditions, even if two identical chaotic systems evolve from almost identical initial conditions, their trajectories quickly become mutually uncorrelated, which makes chaotic signals long-term unpredictability and Anti-interception capability. At the same time, the chaotic system itself is deterministic, completely determined by the equations, parameters and initial conditions of the nonlinear system, so the chaotic signal is easy to generate and replicate. The high randomness, unpredictability, high complexity, broadband characteristics and system equations, parameters and initial conditions of the chaotic signal, as well as its ease ...

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Application Information

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IPC IPC(8): H04L9/00
CPCH04L9/001
Inventor 王新宇孙卫明
Owner YANTAI UNIV
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