Abstract: This article addresses robust control of dual active bridge DC-DC converters. A differential evolution algorithm（DE）optimized H_∞mixed sensitivity control（H_∞-MSC）strategy is proposed to tackle the problem of parameter perturbation caused by the volatility and randomness of renewable energy in AC and DC microgrid,measurement errors as well as changes in operating conditions.Dynamic performance and robustness are improved with this method thank the planning of frequency-domain characteristics based on selection of specific weighting functions. The weighting functions are thus essential to the performance of the system and sophisticated design is necessary. To this end a differential evolution（DE）algorithm is adopted that optimize the relevant parameters with iteration.The proposed DE-H_∞-MSC algorithm is compared with the widely-applied proportional-integral（PI）single-phase-shift control algorithm using hardware-in-the-loop experiments. The results show that the DE-H_∞-MSC algorithm effectively enhances the dynamic performance and robustness of the DAB system,and improve the stability of the microgrid system,especially in the case of large parameter perturbations.