  High-quality Bi$_{2-x}$Pb$_{x}$Sr$_2$CaCu$_2$O$_{8+\delta}$ (Bi2212) single
crystals have been successfully grown by the traveling solvent floating zone
technique with a wide range of Pb substitution ($x=0-0.8$). The samples are
characterized by transmission electron microscope (TEM) and measured by high
resolution laser-based angle-resolved photoemission spectroscopy (ARPES) with
different photon energies. A systematic evolution of the electronic structure
and superstructure with Pb substitution has been revealed for the first time.
The superstructure shows a significant change with Pb substitution and the
incommensurate modulation vector ($\textbf{Q}$) decreases with increasing Pb
substitution. In the meantime, the superstructure intensity from ARPES
measurements also decreases dramatically with increasing Pb concentration. The
superstructure in Bi2212 can be effectively suppressed by Pb substitution and
it nearly disappears with a Pb substitution of $x=0.8$. We also find that the
superstructure bands in ARPES measurements depend sensitively on the photon
energy of lasers used; they can become even stronger than the main band when
using a laser photon energy of 10.897 eV. These results provide important
information on the origin of the incommensurate superstructure and its control
and suppression in bismuth-based high temperature superconductors.
