Non-regular trianguline representations

Let $G_{{\mathbb{Q}}_p}$ be the absolute Galois group of ${\mathbb{Q}}_p$ and let $L$ be a finite extension of ${\mathbb{Q}}_p$. Moreover let $\bar{\rho }:G_{{\mathbb{Q}}_p}\to G{L}_n(k_L)$ be a continous representation of $G_{{\mathbb{Q}}_p}$, where $k_L$ is the residue field of $L$ and $n$ is a natural number greater than $1$. We find sufficient conditions for which a trianguline representation $\rho :G_{{\mathbb{Q}}_p}\to G{L}_n(L)$ lifting $\bar{\rho }$ is a point of the trianguline variety associated to $\bar{\rho }$.