We investigate commensurate oscillations in ordered and disordered art
ificial lateral superlattice (ALS) systems, in which the anti-dots are
arranged in a square or triangular lattice. With increasing disorder
of the anti-dot location, the peaks of the commensurate oscillations f
ade out. The peak heights are more strongly affected by the disorder a
long perpendicular direction to the current than by that along the par
allel direction. In the square ALS system, the commensurate oscillatio
ns seem to be determined principally by the order along the perpendicu
lar direction to the current, while in the triangular ALS system, the
commensurate oscillations would be determined by the nearest neighbor
distance between anti-dots and the order along the perpendicular direc
tion. In addition, the appearance of each peak is determined by the ra
tio of the anti-dot diameter to the ALS period. The weak localization
effect in very low magnetic field and the strongly temperature depende
nt conductance in the absence of magnetic field are also observed in t
he ALS systems.