Output-feedback lag-synchronization of time-delayed chaotic systems in the presence of external disturbances subjected to input nonlinearity

Abstract

In this paper, an adaptive output error feedback control scheme is proposed for the lag-synchronization of two time-delayed chaotic systems in the presence of channel time-delay, external disturbances and input nonlinearity. Using the Lyapunov theory, stability of the proposed adaptive controller is proved. Lyapunov-Krasovskii approach is used to deal with the existence of time-delay in the system dynamics. Finally, two numerical simulations are presented to illustrate the effectiveness of the developed method.

Output‐Feedback Controller Based Projective Lag‐Synchronization of Uncertain Chaotic Systems in the Presence of Input Nonlinearities

“…(a) Theoretical Interests. Compared to previous works [8][9][10][11][12][13][14][16][17][18], our theoretical contributions are the following:…”

“…The chaos synchronization has attracted great attention and has been extensively studied [1][2][3][4][5][6][7][8][9][10][11][12][13][14], since it was suggested originally by Pecora and Carroll in [15]. The basic configuration of chaos synchronization consists of two chaotic systems: a drive (master) system and a response (slave) system.…”

“…In recent years, lag-synchronization has attracted a great deal of attention. Some results have been reported about LS [8][9][10][11][12][13][14][16][17][18]. Besides, over the past 25 years, a variety of methods have been proposed for chaos synchronization, such as sliding mode control [19,20], active control [21,22], adaptive control [23,24], and fuzzy control [25][26][27] which are designed via the universal approximation theorem [28].…”