中文摘要：

研究非线性Boost开关变换器的最优控制问题。根据Boost变换器的两种工作模式建立其状态方程,并用状态空间平均法建立其非线性数学模型。采用状态反馈精确线性化方法 ,推导出非线性状态反馈系统的精确线性化标准型,并构造虚拟输出函数,得出非线性状态反馈控制律表达式,进而利用线性二次型最优控制理论设计Boost变换器的控制律。基于MATLAB/Simulink仿真结果表明,该方法设计的控制器具有精度高、响应快、超调量低、抗干扰能力好等良好的动静态特性,对工程应用具有一定的指导意义。

英文摘要：

The optimal control problem of Boost converters is studied in this paper. According to the two working modes of Boost converter, the state equations are established, and the nonlinear mathematical models are established by using the state space averaging method. By using the state feedback exact linearization method, the exact linear of standard type is deduced and the virtual output function is constructed. Then nonlinear state feedback control law is obtained. The control law of the Boost converter is designed by using the linear quadratic optimal control theory. MATLAB / Simulink-based simulation results show that, the controller has good dynamic and static characteristics, such as high precision, fast response, low overshoot and so on. It also has certain guiding significance for engineering application.