A novel adaptive approach for synchronization of uncertain chaotic systems using fuzzy PI controller and active control method

Abstract

This paper proposes  a new adaptive synchronization scheme  in order to avoid many defects which may occur in the estimation of unknown parameters during synchronization of uncertain chaotic systems. To carry out the synchronization of chaotic systems and to estimate the unknown parameters, a controller is designed into two parts: a fuzzy PI controller used as an eliminator of perturbations (EOP) and a main controller based on the use of active control method. This approach ensures a good estimation of the parameters without taking linear independence (LI) condition into account, which is considered as an important requirement for estimation of the unknown parameters.