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Chaos projection synchronous control circuit based on sign function

A symbolic function and synchronous control technology, applied in the direction of electrical digital data processing, special data processing applications, instruments, etc., can solve problems such as difficult implementation, high cost, and complicated design of chaotic synchronous circuits, and achieve easy implementation, simple structure, universal effect

Inactive Publication Date: 2013-04-24
NANJING NORMAL UNIVERSITY
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  • Abstract
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  • Application Information

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Problems solved by technology

So far, people have proposed various effective chaos synchronization control methods, such as drive-response synchronization, pulse synchronization, adaptive synchronization and so on. However, in the existing synchronous control schemes, most of the controllers are relatively complex, especiall

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  • Chaos projection synchronous control circuit based on sign function
  • Chaos projection synchronous control circuit based on sign function
  • Chaos projection synchronous control circuit based on sign function

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Embodiment Construction

[0020] The present invention uses two smooth nonlinear chaotic circuits with different parameters as the drive system and the response system respectively, and uses a symbolic function synchronization controller to realize the projection synchronization between the drive system and the response system. The involved mathematical models are as follows:

[0021] The driving system equation is: (1)

[0022] The response system equation is: (2)

[0023] A symbolic function controller is defined as: (3)

[0024] In the formula, x 1 , y 1 , z 1 is the drive system state variable, x 2 , y 2 ,z 2 In response to system state variables, p 1 , p 2 , p 3 is the scaling factor for synchronous control, k 1 , k 2 , k 3 is the feedback control coefficient. When selecting parameters a 1 =10, b 1 =14.29, the driving system is determined to be a double-scroll state motion state; when the parameter is selected a 2 =9, b 2 =14.29, ...

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Abstract

The invention discloses a chaos projection synchronous control circuit based on the sign function. The synchronous control circuit comprises a driving system, a sign function controller and a response system. Output signals of the driving system and the response system are subjected to linear subtraction through a subtraction circuit by utilizing the feedback control principle, obtained difference signals are introduced into a sign function circuit, and processed error signals are connected into the input end of state variable of the response system through a feedback resistor to enable the response system to accurately and quickly track the driving system. The non-linear feedback controller has the advantages of being simple in design process, easy in circuit achievement, not needing to change the original structure of a system to be controlled, suitable for synchronous control of various chaos systems and good in generality.

Description

technical field [0001] The invention relates to a symbolic function controller, and proposes a new design method for a chaotic system projection synchronous control circuit. Background technique [0002] Chaos, as a complex nonlinear motion behavior, has a very broad application prospect in the fields of biology, physics, engineering, and informatics. Therefore, chaos synchronization has been paid attention to by researchers in various disciplines in recent years, and has achieved A large number of research results. So far, people have proposed various effective chaos synchronization control methods, such as drive-response synchronization, pulse synchronization, adaptive synchronization and so on. However, in the existing synchronous control schemes, most of the controllers are relatively complex, especially some of them linearize the original system by offsetting the nonlinear link, which changes the inherent dynamic properties of the chaotic system, and the correspondi...

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Application Information

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IPC IPC(8): G06F17/50
Inventor 闵富红黄苗玉马美玲邵书义张海龙王恩荣
Owner NANJING NORMAL UNIVERSITY