Adaptive finite-time controller for synchronization of non-identical chaotic systems with nonlinear input

Abstract

In this letter, a simple adaptive nonlinear controller is designed for finite-time synchronization of two non-identical chaotic systems with fully unknown parameters in the presence of uncertainty, external disturbances and input nonlinearity. Dead-zone nonlinearity is taken into account in the control input. Lyapunov-stability theorem is employed to guarantee the finite-time stability of the developed controller. To show the wide application of the proposed scheme, the proposed method is then applied to synchronization of non- identical single-machine-infinite-bus (SMIB) electrical power systems and numerical simulation is presented to show the effectiveness of the proposed chaos synchronization scheme. I. INTRODUCTION Over the last decades, an increasing attention has been devoted to the study of chaos synchronization due to its application in laser physics and in the area of engineering systems such as power systems, chemical reactions, information processing and especially secure communication. Many methods have been developed for synchronizing of chaos such as linear control, sliding mode control, adaptive control, active control (1-21), etc. In most of the above mentioned methods, two identical chaotic systems are synchronized, but very often in real life applications such as laser array or biological systems, it is hardly the case that every component of the drive and response can be assumed to be identical. Most of these systems have model uncertainties, so one can expect that the chaotic systems can be represented by non-identical model