中文摘要：

DC-DC变换器混沌现象与控制是复杂的非线性问题,而大部分该问题的仿真模型也是抽象的数学模块仿真模型。为了方便直观地研究,利用Matlab中simulink电路仿真模块建立了电压模式Buck变换器电路仿真模型。推导获得了变换器非线性系统的精确离散模型,并在经典OGY方法的机理上,给出了应用上述方法控制变换器混沌状态的控制序列。结合所建电路仿真模型仿真分析Buck变换器由周期分岔直至混沌与OGY控制混沌回到稳定的一周期轨道的过程。仿真结果表明,所建仿真模型准确而直观地验证了离散模型的正确性及OGY方法的有效性。

英文摘要：

The phenomenon and control of chaos in the DC-DC converter are complicated nonlinear problem. What＇s more, most simulation models of that problem are abstract mathematical simulation model. In order to study conveniently, this paper applied Matlab Simulink SimPowerSystems module to built the circuit simulation model of the voltage-mode Buck converter. The discrete mapping model of this converter was obtained through the stroboscopic map. And then the chaos control sequence of this converter has been given in this paper by using the principle of the classic OGY method. The process of the Buck converter from chaotic period bifurcation to chaos and the OGY proces- ses which control chaos back to stable periodic orbits were studied combined with the circuit simulation model. Simu- lation results show that the simulation model accurately and intuitively proves the accuracy of the discrete mapping model and the validity of the OGY method.