  Boundary feedback control design is studied for 1D hyperbolic systems with an
in-domain disturbance and a boundary feedback controller under the effect of
actuator saturation. Nonlinear semigroup theory is used to prove well-posedness
of mild solution pairs to the closed-loop system. Sufficient conditions in the
form of dissipation functional inequalities are derived to establish global
stability for the closed-loop system and $\mathcal{L}^2$-stability in presence
of in-domain disturbances. The control design problem is then recast as an
optimization problem over linear matrix inequality constraints. Numerical
results are shown to validate the effectiveness of the proposed control design.
