Observer-Based Impulsive Control for Nonlinear Systems With Actuator Saturation and Its Application to Complex Networks

This article investigates the local exponential stabilization (LES) for a class of nonlinear systems involving unmeasurable states subject to actuator saturation, where a novel kind of impulsive observer-based saturated impulsive control (SIC) is proposed. Some sufficient criteria for LES are derived drawing on impulsive control theory and saturated control methods. In order to ensure LES under the dual complexity of unmeasurable states and actuator saturation, an improved set inclusion condition for the convex combination approach is put forward, under which the saturation nonlinearity including the observer state can be linearized. Moreover, a convex optimal algorithm is given to estimate the domain of attraction as large as possible. As an application, the proposed theoretical results are applied to leader–follower synchronization of complex networks involving unmeasurable states and actuator saturation. The corresponding synchronization impulsive observer-based SIC strategy is presented. Finally, the efficacy of the results is illustrated by the proposed two examples.