This work proposes an application of dynamic average consensus in interlinking converters of AC/DC microgrids with a distributed anti-windup for dealing with steady-state errors from communication delays. The proposed controller consists of a PI control that looks after the power-sharing between interlinking converters while achieving a global incremental cost consensus. The controller uses an observer (by dynamic average consensus) for estimating the average power of the interlinking converter cluster; this method represents an alternative formulation to conventional single-integrator consensus. An anti-windup with reset scheme is proposed to reduce steady-state errors in presence of fixed time delays. Stability analyses are also presented as well as simulations. Both show that the proposed controller successfully balances the power between interlinking converters being comparable with similar approaches in the literature.