Impulsive observer–based stabilization for a class of Lipschitz nonlinear systems with time–varying uncertainties

In this paper, an impulsive observer–based controller is designed for a class of Lipschitz nonlinear systems with time–varying uncertainties. The impulsive observer uses only sampled measurements of the system output. Sufficient conditions for the existence of the controller are given in terms of Linear Matrix Inequalities, obtaining exponential stability to the origin of the system state and the state estimation error. The performance of the proposed impulsive observer–based controller is tested via simulations.