  In the present letter, we consider homogeneous and isotropic noncommutative
cosmological models induced by a symplectic formalism coupled to phantom
perfect fluids and a cosmological constant. After computing the field
equations, we solve them to find the scalar factor dynamics. We restrict our
attention to expansive solutions, that may represent the present expansion of
our Universe. Those solutions generate {\it big rip} singularities. We study
how the parameters, of those models, modify the time it takes to the scalar
factor expands from zero till infinity, at the {\it big rip}.
