中文摘要：

混沌控制与反混沌控制是一对逆问题.通过研究系统状态变量的关联性,分析了在电流型连续电流模式Boost变换器关联系数变化的情况下,实现系统的混沌控制与反混沌控制的方法,为实际应用打下理论基础.建立了系统的离散数学模型,利用单值矩阵理论解释了变换器混沌控制与反混沌控制的机理.研究结果表明,在只改变系统状态变量的关联系数的情况下,该控制策略能够将处于任意状态的Boost变换器控制到周期1,2,4轨道以及混沌态,系统的输出可实现混沌与反混沌控制.仿真结果证明了所提出方法以及研究结果的正确性.

英文摘要：

Chaos control and anti-control are one pair of inverse problems. In this paper, the correlation of system state variables is investigated, and the method of realizing the chaos control and anti-control of system under the condition of variation of correlation coefficients of current controlled continuous current mode Boost converter is analyzed. The above these lay the theoretical foundation for practical applications. Discrete-time model of system is established. The mechanisms of chaos control and anti-control in Boost converter are theoretically explained by monodromy matrix theory. The research results indicate that only when the correlation coefficient of system is changed, the Boost converter can be controlled from any state to period 1, 2, 4 orbits or chaotic state, which means that the output of the system can realize chaos control and anti-control. Simulation results verify the analysis results.