  Using 2-loop renormalisation group calculations, we study a system of $N$
two-dimensional Potts models with random bonds coupled together by their local
energy density. This model can be seen as a generalization of the random
Ashkin-Teller model. We found that, depending on the sign of the coupling term,
the universality class of the system in the presence of randomness is
different. Under particular consideration, this model presents an example of a
first order phase transition rounded by randomness.
