中文摘要：

基于拉格朗日方程对三相电压型脉宽调制（PWM）逆变器进行建模，采用无源控制策略实现系统的稳定控制。选择电感电荷作为系统的广义坐标，电压作为广义驱动力，基于欧拉一拉格朗日方程计算得到三相全桥并网PWM逆变器的数学模型；将建立的数学模型以电感电流为变量写成矩阵形式，分析了系统的无源性；基于系统的无源性，构建控制李雅普诺夫函数，基于李雅普诺夫直接法，得到实现系统稳定的控制输入。基于Matlab／Simulink对所建立闭环控制系统进行了仿真实验，阐述了仿真结果。

英文摘要：

Lagrangian modeling and control design based on system＇s passivity are presented for three-phase full- bridge voltage-source PWM （Pulse-Width Modulation） inverter. By selecting inductor charge as generalized coordi- nates and the voltage as the generalized driving force, dynamic model of PWM inverter is achieved based on the Eul- er-Lagrange equation. Rewriting system model in matrix form with inductor current as new variables, passivity of the system is analyzed. According to the passivity of the system, a control Lyapunov function including system energy is designed. Based on the second stability theorem of Lyapunov, a contol law is derived to stabilize the system. Finally, simulations based on the Matlab/Simulink is performed; the results demonstrates the correctness and feasibility of the designed passivity-based control scheme.