一种电流模式Buck-Boost变换器的混沌与反混沌混合控制方法*

由于混沌系统具有内在随机性的特征,其状态变量之间的关联性有时很弱,甚至不相关,因而难以对系统实施有效控制。本文基于状态关联和参数扰动的思想提出了一种Buck-Boost变换器混沌与反混沌混合控制方法。该方法首先定义一个调整系数来表征状态变量之间的耦合强度,通过调节该系数达到控制其耦合强度的目的,并建立系统的数学模型。然后利用系统的微分项来表征参数扰动项,对系统施加一定范围的参数扰动。最后根据控制目标,通过改变调整系数实现对系统的混沌与反混沌控制。基于单值矩阵理论和Simulink仿真平台验证了方法的有效性。该方法仅需调整一个外部参数,即可将任意状态下的电流型Buck-Boost变换器控制到周期1、2轨道及混沌态。

A Hybrid Chaos and Anti-Chaos Control Method for Buck-Boost Converter in Current Mode*

Due to the inherent randomness of chaotic systems, the correlation between state variables is sometimes weak or even irrelevant. Therefore it is difficult to control the system effectively. Based on state correlation and parameter perturbation, a method of hybrid chaotic and anti-chaotic control for a Buck-Boost converter is proposed in this paper. Firstly, an adjustment coefficient is defined to represent the coupling strength between state variables and control the coupling strength through it, and the mathematical model of the system is established. Then, based on the high sensitivity of a chaotic system to parameter variation, the parameter perturbation term is characterized by using the differential term of the system, and the parameter perturbation is applied on the system to a certain extent. Finally, according to the control target, the chaotic and anti chaotic control of the system is realized by changing the adjustment coefficient. Based on single valued matrix theory and Simulink simulation platform, the effectiveness of the method is verified. In addition, the proposed method can control the current source Buck-Boost converter in any state to period 1,2 orbits and chaotic states only by adjusting one external parameter.