针对传统有源电力滤波器(Active Power Filter,APF)控制方法不合理,补偿效果较差的问题,提出了基于公共李亚谱诺夫函数的切换镇定控制策略。首先根据APF的开关工作特性,建立APF的切换系统模型,进而得到切换系统误差模型。在此基础上,根据切换系统渐近稳定定理,求解线性矩阵不等式得到切换系统的二次公共李亚谱诺夫函数,完成对APF切换镇定控制器的设计。最后APF的高补偿精度验证了该方法的正确性和有效性。 Aiming at the problem that the traditional active power filter (APF) control method is unreasonable and the compensation effect is poor, this paper proposes a switching stabilization control strategy based on the public Lyapunov function. First, according to APF switching characteristics, the switching system model of APF is established, and then the switching system error model is obtained. On this basis, according to the asymptotic stability theorem of the switching system and the linear matrix inequality, the quadratic public Lyapunov function of switching system is obtained, and the design of APF switching stabilization controller is completed. Finally, the high compensation accuracy of APF verifies the correctness and effectiveness of this method.