Isomorphisms of projective groups over associative rings

Let $R$ be a two-sided order in a regular ring $Q$, $1\in R$, $n\geq3$, $H$ a subgroup of the linear group $GL_n(R)$ containing the elementary subgroup $E_n(R)$, $\psi$ an automorphism of the projective group $PH$ which is identical on $PE_n(R)$. Then $\psi$ is identical on the group $PH$.