并联混合有源电力滤波器自适应L2增益鲁棒控制

为了抑制外界未知扰动和参数摄动对并联混合有源电力滤波器(SHAPF) 系统性能的影响, 提出一种新型的自适应L₂ 增益鲁棒控制策略. 首先建立含有扰动和参数摄动的SHAPF 欧拉-拉格朗日(EL) 数学模型, 得到了SHAPF 在dq 坐标系下的误差动态模型; 然后通过构造适当的Lyapunov 函数设计参数自适应控制率, 实现了对系统参数摄动的补偿, 进而利用阻尼注入方法设计系统的L₂增益鲁棒控制器, 以保证闭环系统的 gamma  耗散性. 仿真实验验证了所提出策略的正确性和有效性.

Adaptive L2-gain robust control of shunt hybrid active power filter

To attenuate the effect of unknown disturbances and parameter perturbations, a novel adaptive L₂-gain robust control strategy for the shunt hybrid active power filter (SHAPF) system is proposed. Firstly, an Euler-Lagrange (EL) system model with the disturbance and the parameter perturbation is built for the SHAPF, and the error system of the SHAPF in the dq reference frame is obtained. Then an adaptive control law is presented to estimate the parameter perturbation by using a designed Lyapunov function. Moreover, according to the damping injection method, an L₂-gain robust controller is synthesized which ensures the dissipation in the disturbance attenuation level gamma. Finally, simulation results verify the correctness and effectiveness of the proposed strategy.