A Method for Finding Unstable Periodic Orbits of Chaotic Switching Converters

A technology of switching converters and stable periods, which is applied in the field of modeling and analysis of nonlinear systems, and can solve problems such as not using harmonic characteristics of chaotic systems

Active Publication Date: 2018-09-14
SOUTH CHINA UNIV OF TECH
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  • Application Information

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Problems solved by technology

The existing methods for finding unstable periodic orbits do not use the harmonic characteristics of chaotic systems in different nonlinear dynamic states, and search for unstable periodic orbits in chaotic attractors based on harmonic characteristics

Method used

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  • A Method for Finding Unstable Periodic Orbits of Chaotic Switching Converters
  • A Method for Finding Unstable Periodic Orbits of Chaotic Switching Converters
  • A Method for Finding Unstable Periodic Orbits of Chaotic Switching Converters

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Embodiment Construction

[0059] The present invention will be further described below in conjunction with specific examples.

[0060] Such as Figures 1a to 1c As shown, the method for finding the unstable periodic orbit of the chaotic state switching converter described in the present invention comprises the following steps:

[0061] S1. Establish a system model of the switching converter working in the inductive continuous mode, including:

[0062] S11. According to the circuit principle, write the piecewise linear differential equation of the inductive continuous mode switching converter:

[0063] (1) State 1, the switch tube is turned on, the system state equation:

[0064]

[0065] (2) State 2, the switch tube is turned off, the system state equation:

[0066]

[0067] x in the above formula i (t)=[I L (t)V C (t)] T Represents the state variables of the system, including the current I on the i-th inductor Li , the voltage V on the i-th capacitor Ci , the switching condition of the ...

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Abstract

The invention discloses a method for searching an instable periodic orbit of a chaotic switching converter, and the method continuously correct a former hypothetical result for the characteristics of the harmonic components of the instable periodic orbit according to the characteristic that a chaotic nonlinear system has periodic traversal through the assumption of the amplitude values of harmonic components of the orbit, the combination of a disturbance method and the principle of harmonic balance and the characteristics of the harmonic components of an inductance / current continuous mode DC-DC switcher at a chaotic state, and finally obtains an analytical expression of the instable periodic orbit relative to a chaotic attractor. The method provides a new idea for the searching of the instable period -n orbit in the inductance / current continuous mode DC-DC switcher at a chaotic state. Because the method is based on the principle of harmonic balance, the obtained instable periodic orbit expression can clearly reflect the harmonic components in the orbit, and can provide design basis for a chaotic controller based on a notching filter / delay feedback.

Description

technical field [0001] The present invention relates to the field of modeling and analysis of nonlinear systems, in particular to a method for finding the unstable periodic orbit of a switching converter in a chaotic state. The periodic ergodic characteristics of the chaotic state are used to find the unstable periodic orbit. Background technique [0002] According to the control goal, the chaos control method can be divided into the chaos control method that targets the unstable periodic orbit in the chaotic attractor of the original system, and the chaos control method that changes the dynamic structure of the original system so that the new system can work in a new stable state. There are two categories of chaos control methods for periodic orbits. [0003] The first type of chaos control method utilizes the periodic ergodic characteristics of the chaotic system. When the phase trajectory of the chaotic attractor runs near the fixed point of the unstable periodic orbit, ...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G05B13/04
CPCG05B13/042
Inventor 陈艳峰陈曦张波
Owner SOUTH CHINA UNIV OF TECH
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