  We consider the Rayleigh--B\'{e}nard problem for the three--dimensional
Boussinesq system for the micropolar fluid. We introduce the notion of the
multivalued eventual semiflow and prove the existence of the two-space global
attractor $\mathcal{A}^K$ corresponding to weak solutions, for every micropolar
parameter $K\geq 0$ denoting the deviation of the considered system from the
classical Rayleigh--B\'{e}nard problem for the Newtonian fluid. We prove that
for every $K$ the attractor $\mathcal{A}^K$ is the smallest compact,
attracting, and invariant set. Moreover, the semiflow restricted to this
attractor is single-valued and governed by strong solutions. Further, we prove
that the global attractors $\mathcal{A}^K$ converge to $\mathcal{A}^0$ upper
semicontinuously in Kuratowski sense as $K\to 0$, and that the projection of
$\mathcal{A}^0$ on the restricted phase space corresponding to the classical
Rayleigh--B\'{e}nard problem is the global attractor for the latter problem,
having the invariance property. These results are established under the
assumption that the Prandtl number is relatively large with respect to the
Rayleigh number.
