This paper presents the robust nonlinear dynamic anti-windup compensator (AWC) design for nonlinear systems with parametric uncertainties and one-sided Lipschitz nonlinearities under actuator saturation. A decoupling architecture for a full-order AWC is proposed for the case of parametric uncertainties. AWC synthesis scheme is derived by employing the quadratic Lyapunov function, the notion of quadratic inner-boundedness, the one-sided Lipschitz condition, sector condition, and gain minimization. An algorithm, based on the convex routines, by employing the cone complementary linearization, recursive computation, and a bilinear term resolving approach is provided for obtaining the AWC parameters. In contrast to the existing nonlinear AWC designs, our results provide a remedy to the input saturation for a widespread class of nonlinear systems and can effectively deal with the parametric uncertainties. The suggested AWC methodology is employed to compensate windup in the buck-boost converter and one-link flexible robot with revolute joint.
- Onesided Lipschitz condition
- Parametric norm-bounded uncertainty
- Quadratic inner-boundedness
- Robust anti-windup compensator
ASJC Scopus subject areas
- Control and Systems Engineering
- Electrical and Electronic Engineering