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In this paper, we obtain the existence of random attractors for a class ofevolution equations driven by a geometric fractional Brownian rough path withHurst index $H\in(\frac{1}{3},\frac{1}{2}]$ and establish the uppersemi-continuity of random attractors $\mathcal{A}_{\eta}$ for the approximatedsystems of the evolution equations.

Wong-Zakai approximation for the dynamics of stochastic evolution equation driven by rough path with Hurst index $H\in(\frac{1}{3},\frac{1}{2}]$