A bounded error observer for synchronization of chaotic systems

In this paper, we propose a bounded error observer of reduced order for a class of chaotic systems. The state variables are estimated by means of output system, which is supposed to be exactly known. The estimation methodology is based on a suitable change of variable which allows generating artificial variables to infer the remaining states constructing a differential-algebraic structure. The proposed methodology is applied to a class of Lipschitz nonlinear systems with success. Some remarks about the convergence characteristics of the proposed estimator are given and numerical simulations illustrate the effectiveness of the suggested approach.