基于Lyapunov函数的直流功率变换器设计

Nonlinear Controller Design for DC-to-DC Power Converters

考虑直流功率变换器的非线性特性，研究它的非线性控制。应用Ｋｒａｓｏｖｓｋｉ方法，引入反映变换器非线性特性的函数量反馈，构造Ｌｙａｐｕｎｏｖ函数，推导出非线性控制律，通过对负载调节和电源调节情况下直流变换器闭环性能的计算机数字仿真，说明了提出的控制方法在直流功率变换器控制中可获得全局稳定性能和满意的暂态响应。

Based on the state-space a veraged model, the nonlinear control is studied for switch-mode dc- to- dc power converters taking into consideration the nonlinearity of the converters. By using Krasovskii’s method and introducing feedback function which represents the nonlinearity of the converters, a Lyapunov function of the converter is formed and the nonlinear control law is presented. The proposed nonlinear controller is evaluated by computer simulation of the closed-loop performance of dc- to- dc power converters in respect of load regulation and line regulation.