用H∞控制器抑制Buck变换器中的参数扰动

以Buck直流变换器为研究对象,设计了非线性鲁棒控制器以达到减小干扰影响的目的。首先在Buck变换器非线性模型的基础上,建立具有扰动的系统误差模型。然后根据无源性控制理论,得到H∞控制器及其参数约束条件,并理论分析了闭环控制系统的稳定性。最后对Buck变换器元件参数扰动的情况进行了数值模拟和电路仿真,仿真结果验证了该控制方法的正确性和有效性。

Reducing parametric perturbations in a Buck converter by an H∞ controller

To reduce the effect of disturbances, a nonlinear controller was designed for a DC／DC Buck converter. First, an error model with disturbances was built based on the nonlinear model of a Buck converter. Then an H∞controller and its parameters were deduced based on the passive theory. A theoretical analysis was given to prove the stability of a closed loop control system. Finally, a  numerical simulation and circuit simulation were performed for the case of parametric perturbations of a Buck converter. The simulation results demonstrated the validity and effectiveness of the proposed control strategy.