Nonlinear Estimation of States and Unknown Inputs for Communication Systems

In this note we address the problem of the simultaneous estimation of the states and unknown inputs for a class of non linear chaotic systems. This problem became during the last decade one of the attractive research area in communication systems since it can be used to assure synchronization and input recovery, in particular, for chaotic systems. The main contribution lies in the use of relevant mathematical artefact to generalize previous results and to provide sufficient conditions for asymptotic convergence in terms of Linear Matrix Inequalities (i.e. a convex optimization problem). In the last section, an academic example shows performances of the proposed approach.