An active flutter suppression using linear saturated control is investigated for a 2dof wing section with nonlinear torsional stiffness and limited deflection amplitude of its single actuator. The local suppression of limit cycleoscillations in the nonlinear closed-loop system is achieved through maximization of the stability region of its linearized counterpart and following numerical bifurcation analysis. A globalization scheme is proposed for a locally stabilizing linear saturated controller. Using the scheme, we show global constrained stabilizability of our system.