  In this paper, the notion of robust strict QSR-dissipativity is applied to
solve the static output feedback control problem for a class of continuous-time
nonlinear rational systems subject to input saturation and bounded parametric
uncertainties. A local dissipativity condition is combined with generalized
sector conditions to formulate the synthesis of a stabilizing controller in
terms of linear matrix inequalities. The strategy applies to general static
output feedback design without any restrictions on the plant output equation.
An iterative algorithm based on linear matrix inequalities is proposed in order
to compute the feedback gain matrix that maximizes the estimate of the
closed-loop region of attraction. Numerical examples are provided to illustrate
the applicability of this new approach in examples borrowed from the
literature.
