  We provide a deformation, $\mathfrak{f}_{\beta}$, of Lusztig algebra
$\mathbf{f}$. Various quantum algebras in literatures, including half parts of
two-parameter quantum algebras, quantum superalgebras, and multi-parameter
quantum algebras/superalgebras, are all specializations of
$\mathfrak{f}_{\beta}$. Moreover, $\mathfrak{f}_{\beta}$ is isomorphic to
Lusztig algebra $\mathbf{f}$ up to a twist. As a consequence, half parts of
those quantum algebras are isomorphic to Lusztig algebra $\mathbf{f}$ over a
big enough ground field up to certain twists. We further construct the entire
algebra $\mathbf U_{\beta,\xi}$ by Drinfeld double construction. As special
cases, above quantum algebras all admit a Drinfeld double construction under
certain assumptions.
