  In this paper, the complex-coefficient weight vector orthogonal decomposition
($ \textrm{C}^2\textrm{-WORD} $) algorithm proposed in Part I of this two paper
series is extended to robust sidelobe control and synthesis with steering
vector mismatch. Assuming that the steering vector uncertainty is norm-bounded,
we obtain the worst-case upper and lower boundaries of array response. Then, we
devise a robust $ \textrm{C}^2\textrm{-WORD} $ algorithm to control the
response of a sidelobe point by precisely adjusting its upper-boundary response
level as desired. To enhance the practicality of the proposed robust $
\textrm{C}^2\textrm{-WORD} $ algorithm, we also present detailed analyses on
how to determine the upper norm boundary of steering vector uncertainty under
various mismatch circumstances. By applying the robust $
\textrm{C}^2\textrm{-WORD} $ algorithm iteratively, a robust sidelobe synthesis
approach is developed. In this approach, the upper-boundary response is
adjusted in a point-by-point manner by successively updating the weight vector.
Contrary to the existing approaches, the devised robust $
\textrm{C}^2\textrm{-WORD} $ algorithm has an analytical expression and can
work starting from an arbitrarily-specified weight vector. Simulation results
are presented to validate the effectiveness and good performance of the robust
$ \textrm{C}^2\textrm{-WORD} $ algorithm.
