电流连续型Boost变换器状态反馈精确线性化与非线性PID控制研究

基于非线性系统的微分几何理论并结合传统PID控制的优点，建立了CCM(电流连续型)Boost变换器的非线性仿射模型并推导出非线性坐标变换矩阵和非线性状态反馈表达式，得到了Boost变换器状态反馈精确线性化模型。文中结合基于输出误差的PID控制，提出了变换器非线性PID解耦控制策略。研究结果表明，Boost变换器非线性PI解耦控制，比传统的PI控制有更好的动态响应和稳态特性，状态反馈精确线性化能对Boost变换器这类分段线性系统实现完全控制解耦。DC／DC变换器利用状态反馈精确线性化技术并结合传统PI控制技术的优点进行解耦控制，其结果对进一步研究具有一般性理论和实际意义。

THE RESEARCH OF STATE VARIABLE FEEDBACK LINEARIZATION METHOD ON THE CCM BOOST CONVERTER AND NONLINEAR PID CONTROL LAW

Based on the differential geometry theory and traditional PID control method, the paper setups an affine nonlinear mode of Boost converter working on current conduction mode (CCM). Then the nonlinear coordinate conversion matrix and the nonlinear state variable feedback law are proposed to get the state variable feedback exact linearization mode of Boost converter. The conventional PID control law is integrated into the nonlinear decoupled control strategy based on the output error PID control mechanisms. The research result shows that the nonlinear PI decoupled control method is superior to the customer PI control method in the dynamic response performance and steady-stage error regulating characteristics. The result also shows that the piecewise linear model as the Boost converter can be completely decoupled by using the state variable feedback exact linearization method integrated with PI control law, so it is a generality theory with practice significance.