Abstract

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.

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