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A Synchronization Method for Chaotic Systems Based on Fractional-Order Adaptive Sliding Mode Control

A technology of adaptive sliding mode and fractional sliding mode surface, applied in digital transmission system, transmission system, secure communication through chaotic signal, etc., can solve the problem of slow synchronization of chaotic system

Active Publication Date: 2020-06-26
XIAN UNIV OF TECH
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Problems solved by technology

[0004] The research at this stage is generally based on integer order calculus, and the synchronization of chaotic systems is slow

Method used

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  • A Synchronization Method for Chaotic Systems Based on Fractional-Order Adaptive Sliding Mode Control
  • A Synchronization Method for Chaotic Systems Based on Fractional-Order Adaptive Sliding Mode Control
  • A Synchronization Method for Chaotic Systems Based on Fractional-Order Adaptive Sliding Mode Control

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Embodiment Construction

[0045] The present invention will be described in detail below in conjunction with the accompanying drawings and specific embodiments.

[0046] A method for synchronizing a chaotic system based on fractional-order adaptive sliding mode control of the present invention is specifically implemented according to the following steps:

[0047] Take q=0.95, m=7, then:

[0048] Step 1, select the driving chaotic system and calculate the state information y of the driving chaotic system 1 ,y 2 ,y 3 ;Specifically:

[0049]

[0050]

[0051]

[0052] Among them, U 1 for applying on y 1 The control quantity above; τ is a normalized time function; U 2 for applying on y 2 The control amount on; U 3 for applying on y 3 the amount of control above.

[0053] Step 2, calculate the state information x of the follower system driving the chaotic system 1 ,x 2 ,x 3 ;Specifically:

[0054]

[0055]

[0056]

[0057] Step 3. Obtain the error system e according to the s...

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Abstract

The invention discloses a chaotic system synchronization method based on fractional order adaptive sliding-mode control. The method comprises following steps of step 1, selecting a driving chaotic system and calculating state information quantity y1, y2 and y3 of the driving chaotic system; step 2, calculating state information quantity x1, x2 and x3 of a following system of the driving chaotic system; step 3, according to the state information quantity of the driving chaotic system and the following system thereof, solving error systems e1, e2 and e3; step 4, setting a fractional order sliding-mode face s(t); and step 5, constructing error feedback synchronization control rate u1, u2 and u3 and adding adaptive coefficients. According to the invention, synchronization of the driving chaotic system and the following system thereof is achieved.

Description

technical field [0001] The invention belongs to the technical field of automatic control methods, and relates to a chaotic system synchronization method based on fractional order adaptive sliding mode control. Background technique [0002] Chaos is a seemingly random motion that occurs in a definite system, and it is ubiquitous in natural and social sciences. The research of chaos is to discover the orderly and practical information behind the chaotic behavior of the system, so as to realize the utilization of chaos. As a key topic of chaos application, chaos synchronization has attracted much attention because of its great application value in the field of information security such as secure communication. [0003] Synchronization of chaos is a kind of control of chaos in a broad sense. It is a kind of control problem to make the orbit of the controlled chaotic system follow the orbit of the target chaotic system. The research on chaos synchronization is not limited to th...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): H04L9/12H04L9/00
CPCH04L9/001H04L9/12
Inventor 杨宁宁吴朝俊贾嵘韩宇超徐诚程书灿
Owner XIAN UNIV OF TECH
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