Chaos Generation Method Based on Impulse 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: 2022-07-08
XIAN UNIV OF TECH
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  • Application Information

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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 Impulse Control
  • Chaos Generation Method Based on Impulse Control
  • Chaos Generation Method Based on Impulse Control

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Embodiment Construction

[0031] The present invention will be described in detail below with reference to 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] The dynamic equation of the controlled nonlinear system is set as Eq. (1):

[0035]

[0036] where x∈R n is the controlled nonlinear system state, f∈R n →R n is a nonlinear smooth continuous function in the set of real numbers, x 0 for the controlled nonlinear system at t 0 The initial value of 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 applied control is:

[0038]

[0039] When the parameters of the Chen system are a=35, b=3, and c=18.5, it means that the Chen system is in a sta...

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Abstract

The invention discloses a method for generating chaos based on pulse control. The steps include: step 1: building a model of a controlled nonlinear system; step 2: building a single-variable pulse controller; step 3: using the pulse of the single-variable pulse controller The interval and state feedback pulse gain are the analysis objects, draw the parameter bifurcation diagram of the controlled dynamic system, use the parameter bifurcation diagram to obtain the parameter range corresponding to the chaos, and select the pulse controller parameters that make the controlled nonlinear system generate chaos; Step 4: Analyze the state of the controlled nonlinear system under the selected control parameters to verify the chaotic characteristics. If the chaotic characteristics are not satisfied, go back to step 3 and reselect the pulse control parameters in the chaotic parameter area; otherwise, end all steps. In the method of the invention, the control energy is smaller than that of the continuous control chaos generation method, the chaos generation area is not limited to the vicinity of the periodic orbit of the original stable system, the chaos can be generated and the chaos can be eliminated, and the 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 efficiency of some systems can be improved by using the chaotic characteristics. For example, using the broadband characteristics of chaos can reduce the switching noise of switching power converters, improve the working efficiency of compaction machinery and stirring machinery, and improve information transmission. speed and reliability. Therefore, using control methods to artificially generate chaos in non-chaotic systems becomes the key to applying chaos. Commonly used methods for generating chaos include nonlinear feedback control method, delay feedback control method and so on. [0003] The traditional feedback control method adopts continuous control, and the required control effect is continuous. How to genera...

Claims

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Application Information

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Patent Type & Authority Patents(China)
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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