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Chaos generation method based on pulse control

A technology of pulse control and generation method, applied in the field of signal processing, can solve the problems of large control energy and continuous application of control effect, and achieve the effect of eliminating chaos and good flexibility

Active Publication Date: 2021-04-23
XIAN UNIV OF TECH
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0005] The purpose of the present invention is to provide a method for generating chaos based on pulse control, which solves the problems in the prior art that the control effect is continuously applied, all states need to be controlled, and the control energy needs to be large.

Method used

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  • Chaos generation method based on pulse control
  • Chaos generation method based on pulse control
  • Chaos generation method based on pulse control

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Embodiment Construction

[0031] The present invention will be described in detail below in conjunction with the accompanying drawings and specific embodiments.

[0032] The method for generating chaos based on pulse control of the present invention is implemented according to the following steps:

[0033] Step 1: Build a model of the controlled nonlinear system,

[0034] Set the dynamic equation of the controlled nonlinear system as follows (1):

[0035]

[0036] where x∈R n is the state of the controlled nonlinear system, f∈R n →R n is a nonlinear smooth continuous function in the set of real numbers, x 0 For a controlled nonlinear system at t 0 Initial value at time; when the controlled nonlinear system is not controlled, that is, u=0, it is in a non-chaotic state;

[0037] In an embodiment, the kinetic equation considering the Chen system with no controls applied is:

[0038]

[0039] When the parameters of the Chen system are a=35, b=3, c=18.5, it means that the Chen system is in a no...

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Abstract

The invention discloses a chaos generation method based on pulse control. The chaos generation method comprises the following steps: 1, constructing a model of a controlled nonlinear system; 2, establishing a univariate pulse controller; 3, drawing a parameter bifurcation diagram of the controlled dynamic system by taking the pulse interval and the state feedback pulse gain of the univariate pulse controller as analysis objects, obtaining a corresponding chaotic parameter range by utilizing the parameter bifurcation diagram, and selecting pulse controller parameters enabling the controlled nonlinear system to generate chaos; 4, analyzing the state of the controlled nonlinear system under the selected control parameter, verifying the chaotic characteristic, returning to the step 3 if the chaotic characteristic is not met, and reselecting the pulse control parameter in the chaotic parameter area; and otherwise, ending all the steps. Control energy is smaller than that of a continuous control chaos generation method, a chaos generation area is not limited to the vicinity of a periodic orbit of an original stable system, chaos can be generated and eliminated, and flexibility is better.

Description

technical field [0001] The invention belongs to the technical field of signal processing and relates to a method for generating chaos based on pulse control. Background technique [0002] With the development of science and technology, people realize that the use of chaos characteristics can improve the efficiency of some systems. For example, the use of chaos broadband characteristics can reduce the switching noise of switching power converters, improve the working efficiency of compaction machinery and mixing machinery, and improve information transmission. speed and reliability. Therefore, using control means to artificially generate chaos in non-chaotic systems becomes the key to applying chaos. Commonly used chaos generation methods include nonlinear feedback control methods, delayed feedback control methods, and so on. [0003] The traditional feedback control method adopts continuous control, and the required control effect is continuous. How to generate chaos more ...

Claims

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Application Information

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IPC IPC(8): H04L9/00
CPCH04L9/001H04L2209/12
Inventor 任海鹏田坤李洁
Owner XIAN UNIV OF TECH
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