An anti-windup approach for nonlinear impulsive system subject to actuator saturation

Abstract

Abstract This paper is concerned with the analysis and design of nonlinear impulsive systems subject to actuator saturation, where both impulsive control problem and impulsive disturbance problem are considered. By utilizing a dead-zone function to deal with saturation nonlinearity, some conditions are obtained for local exponential stability and stabilizablity (LES) of the considered system. The design of the controller is formulated such that the domain of attraction is as large as possible and moreover, it can be solved as a convex optimization problem with linear matrix inequalites (LMIs) constraints. Two numerical examples are used to demonstrate the effectiveness of our proposed results.