State feedback design for rational nonlinear control systems with saturating inputs

This paper focuses on the problem of designing stabilizing state feedback control laws for rational nonlinear systems subject to actuator saturation. The results are based on the differential-algebraic representation of rational systems and a generalized sector relation to address the saturation effects. From these elements, LMI based conditions are devised to compute a state feedback control law leading to a maximized ellipsoidal estimate of the region of attraction of the closed-loop system. Several numerical examples are provided to illustrate the potentialities of the technique.