Unknown inputs observers for state and unknown inputs estimation in a class of discrete-time Lipschitz nonlinear systems

In this paper, we propose a method for estimating of state and unknown inputs based in observers approach in a class of discrete-time Lipschitz nonlinear systems with unknown inputs both state and measurement. This method design is obtained using a particular Lyapunov function in order to guaranty the asymptotic stability of the error estimation. The observer gains are determined in terms of Linear Matrix inequalities (LMI). Performances of the proposed approach are illustrated through simulation results.