Let $\mathcal M$ be a symmetric monoidal category, $S\subset \mathcal M$ a collection of objects and morphisms. I would like to construct the localization $\mathcal M \mathop{\longrightarrow}^T \mathcal M[S^{-1}]$, defined by

for each $x\in S$, there is $y\in\mathcal M[S^{-1}]$ such that $Tx\otimes y \cong I$;

for each $x \mathop{\longrightarrow}^f y \in S$, $Tf$ is an isomorphism in $\mathcal M[S^{-1}]$;

maybe there are some coherence conditions on the above;

$T$ is the universal symmetric monoidal functor with these properties.

Is there a reference which covers this construction and its properties?