  Mlaiki et al.\cite{MLA} introduced the idea of controlled metric type spaces,
which is a new extension of $b$-metric spaces with addition of a controlled
function $\alpha(x,y)$ of the right-hand side of the $b$-triangle inequality.
Phu \cite{PHU} introduced the idea of rough convergence of sequences in a
normed linear space. In this paper we have brought the idea of rough
convergence of sequences in a controlled metric type space. We have proved
several results associated with rough limit sets and some relevant results
associated with such convergence.
