Anti-windup design for a class of multivariable nonlinear control systems: An LMI-based approach

This paper focuses on the problem of static anti-windup design for a class of multivariable nonlinear systems subject to actuator saturation. More precisely, a convex approach is proposed to compute a static anti-windup gain which ensures regional stability for the closed-loop system assuming that a nonlinear dynamic output feedback controller is previously designed to stabilize the nonlinear system. The results are based on the differential-algebraic representation of rational systems and a modified sector bound condition is applied to model the saturation effects. From these elements, LMI based conditions are devised to compute an anti-windup gain for enlarging the closed-loop region of attraction. A numerical example is given to illustrate the proposed method.