CCM Buck变换器的状态反馈精确线性化的非线性解耦控制研究

基于非线性系统的微分几何理论，应用脉冲模型积分法建立CCM(电流连续型)Buck变换器的非线性仿射模型，推导出对应的非线性坐标变换矩阵和非线性状态反馈表达式，得到了Buck变换器状态反馈精确线性化模型，由此提出了电感电流和输出电容电压解耦控制策略。研究结果表明，Buck变换器通过状态反馈实现精确线性化得到的非线性控制策略，比现有的PI控制有更好的动态响应调节和稳态误差调节特性。同时说明状态反馈精确线性化能对Buck变换器这类分段线性系统实现完全解耦控制，从而具有一般性理论和实际意义。

RESEARCH OF NONLINEAR DECOUPLED CONTROL LAW USING STATE VARIABLE FEEDBACK LINEARIZATION METHOD BASED ON THE CCM BUCK CONVERTER

Based on the differential geometry theory, an affine nonlinear mode of Buck converter working on current conduction mode (CCM) is set up by applying impulse mode integral method in this paper. Then the nonlinear coordinate change matrix and the nonlinear state variable feedback equations of the affine nonlinear system are proposed. At the same time the paper derives the state variable feedback exact linearization mode of Buck converter and get the decoupled control strategy between the current of conductor and voltage of capacitor. The research results show that the nonlinear decoupled control method is superior to the customer PI control method in the dynamic response performance and steady-stage error regulating characteristics. The results also show that the piecewise linear model as the Buck converter can be decoupled completely by using the state variable feedback exact linearization method, so it is a generality theory with practical significance.