具有两个边界的Boost变换器分岔行为和斜坡补偿的镇定控制

电流控制型Boost变换器在较宽的电路参数下具有两个边界，建立了采用斜坡补偿电流的分段光滑迭代映射方程，并导出了轨道状态发生转移时的分界线方程，通过数值仿真得到了输入电压和斜坡补偿斜率变化时的逆分岔图和它们的动力学行为分布图.研究结果表明，随着输入电压逐步减小，Boost变换器从稳定的周期1态，经在边界1上发生边界碰撞分岔后进入连续传导模式（CCM）下的鲁棒混沌态，并经在边界2上发生边界碰撞分岔后进入不连续传导模式（DCM）下的强阵发性的弱混沌态.通过引入合适的斜坡补偿电流，Boost变换器的工作模式可以关键词：Boost变换器斜坡补偿迭代映射方程镇定控制

Bifurcation of Boost converter with two boundaries and its stability control by ramp compensation

Current mode controlled Boost converter has two boundaries in a wide range of circuit parameters. This paper establishes the piecewise smooth iterative map of the converter by utilizing ramp compensation current and derives borderline equations of the orbit state shifting. The reverse bifurcation diagrams and dynamic behavior distribution diagrams with input voltage and compensation slope as parameters are obtained by numerical simulation. The results indicate that with the input voltage reduction, Boost converter enters into robust chaos under continuous conduction mode （CCM） through a border-collision bifurcation on border 1 from stable period-one, and enters into weak chaos and strong intermittency under discontinuous conduction mode （DCM） via a border-collision bifurcation on border 2 By using ramp compensation, the Boost converter can shift from DCM to CCM, and can effectively be controlled to operate at stable period-one region.