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Chaos generation method based on direct delay feedback

A delayed feedback and direct technology, applied in the direction of instrument, adaptive control, control/regulation system, etc., can solve the problems of engineering application limitation, complex control form, complex control function form, etc., to achieve great flexibility, good security effect, easy-to-achieve effects

Inactive Publication Date: 2006-12-27
XI AN JIAOTONG UNIV
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Problems solved by technology

However, this delayed feedback control method has the following disadvantages: first, when using this method to generate chaos, the delayed signal needs to be transformed by a sine function, and the control form is complicated; secondly, when this method controls a nonlinear system, it must be For feedback linearization, it is necessary to find a suitable output function so that the system can meet the feedback linearization conditions, which makes the calculation process and the actual control function form more complicated, and brings great restrictions to engineering applications.
In addition, from the perspective of control, those skilled in the art hope to adopt a unified method to generate chaos when chaos is needed, and eliminate chaos when chaos is not needed, so as to give designers the greatest flexibility [19，31] , this kind of indirect delay feedback control is still unable to achieve chaos control

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  • Chaos generation method based on direct delay feedback
  • Chaos generation method based on direct delay feedback
  • Chaos generation method based on direct delay feedback

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Embodiment Construction

[0073] Method of the present invention adopts direct delay feedback to produce chaotic signal, at first, will select suitable nonlinear system, and system is as follows:

[0074] dx / dt=f(x) (1)

[0075] where x∈R n is the system state, f(x)) is a nonlinear vector function of x, and the system is in a non-chaotic state.

[0076] Secondly, according to the actual situation of the system, the injection mode of the external control signal can be selected to control one or more of the vector equations that can be controlled. The specific control takes the following form:

[0077] u=K(x(t)-x(t-τ)) (2)

[0078] Among them, K is an n×n square matrix.

[0079] The structure of the direct delay feedback control system is as follows: figure 1 As shown, it consists of nonlinear function f(x), control quantity u, time delay, n×n square matrix K and comparator.

[0080] Third, according to the selected control injection method, the mathematical model of the system and MATLAB are used ...

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Abstract

The invention relates to a method for generating infinite-dimension chaotic signal, which is based on selected non-chaotic non-linear system and the real condition to control the injection point, while the control method uses simple direct delay feedback, wherein the control parameter can be selected by the chaotic branch pattern obtained by MATLAB and Poincare section, and real demand; then by analyzing the time wave shape, the power spectrum and the Liapunouph index, the generation of chaotic signal can be fixed. Compared with present technique, the invention is more simple and flexible, with better effect.

Description

technical field [0001] The invention relates to a method for generating chaos signals, in particular to a method for generating chaos based on direct delay feedback. Background technique [0002] People have been studying chaos for 40 years, and the focus of research on chaos has also developed from the initial discovery and explanation of chaotic phenomena to the control and utilization of chaotic phenomena in recent years. [1] . For chaos control problems, since 1990, the famous OGY method [2] After being proposed, many control methods have been proposed and widely used [3-10] . These methods are able to eliminate chaos when its presence is detrimental to the system. Contrary to the control of chaos, the generation of chaos refers to artificially generating or strengthening chaos when the existence of chaos is beneficial to the system. For example: the existence of chaos is conducive to improving the performance of neural networks [11] ; usin...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G05B13/04
Inventor 任海鹏韩崇昭
Owner XI AN JIAOTONG UNIV
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