Generalized Synchronization of a Class of Spatiotemporal Chaotic Systems Using Nonlinear Observers

Abstract

This article proposes an approach to synchronize a class of unidimensional spatiotemporal chaotic systems using exponential nonlinear observers. The article focuses on generalized synchronization with parameter mismatching and a unidirectional master–slave topology. The approach involves the conception of two different nonlinear observers to estimate the unknown parameters of a master system, such that the estimated parameters can be injected into a controller to synchronize the slave with the master. To illustrate the proposed approach, an example based on the Gray–Scott equations that exposes the synchronization and the observer conception is presented.