Automorphisms of elementary adjoint Chevalley groups of types $A_l$, $D_l$, and $E_l$ over local rings with 1/2

It is proved that every automorphism of an elementary adjoint Chevalley group of type $A_l$, $D_l$, or $E_l$ over a local commutative ring with 1/2 is a composition of a ring automorphism and conjugation by some matrix from the normalizer of that Chevalley group in $GL(V)$ ($V$ is an adjoint representation space).