基于反向递推法的单相全桥逆变器的控制

Control of Single-phase Full-bridge Inverters by Back-stepping Design Approach

针对单相全桥逆变器这个时变、多模态的非线性系统,应用开关函数建立了系统数学模型,引入开关周期平均算子将离散系统变换为连续系统,得到具有参数严格反馈形式的二阶非线性系统数学模型。对此模型应用反向递推法,通过逐步选择虚拟控制量和构造李亚普诺夫函数,使每个状态分量具有适当的渐进特性。代入单相全桥电压型逆变器系统参数后得到其反馈控制规律。最后通过实验验证了该方法有效性和正确性。

For single-phase full-bridge inverter of time-varying, multi-modal nonlinear systems, the mathematical model is established with switching function.The discrete system is transformed into the continuous system with the average switch period operator.The second order non-linear system model with the parameters of strict feedback is obtained.By using back-stepping design approach, the virtual control variable and Lyapunov function are selected step by step, so that each state variable has the appropriate asymptotic component features.The feedback control law of the singlephase full-bridge voltage source inverter system is obtained by putting parameters into it.Finally,the effectiveness and correctness of the control method are verified by experiments.