  The projected shell model with configuration mixing for nuclear chirality is
developed and applied to the observed rotational bands in the chiral nucleus
$^{130}$Cs. For the chiral bands, the energy spectra and electromagnetic
transition probabilities are well reproduced. The chiral geometry illustrated
in the $K~plot$ and the $azithumal~plot$ is confirmed to be stable against the
configuration mixing. The other rotational bands are also described in the same
framework.
