Title :
SMC-based Projective Synchronization of Lorenz System and Chen System with Fully Unknown Parameters
Author :
Cang, Shijian ; Chen, Zengqiang ; Wang, Zenghui ; Zhao, Yuchi
Author_Institution :
Dept. of Ind. Design, Tianjin Univ. of Sci. & Technol., Tianjin, China
Abstract :
In this paper, an adaptive sliding mode controller (SMC) with a parameter update law is developed to realize projective synchronization of the Lorenz system and the Chen system with fully unknown parameters. The projective synchronization includes complete synchronization and anti-phase synchronization. Moreover, it is proven that the proposed adaptive SMC can maintain the existence of sliding mode in uncertain chaotic systems based on Lyapunov stability theory. Finally, numerical simulations are presented to illustrate the effectiveness of the proposed control method.
Keywords :
Lyapunov methods; adaptive control; nonlinear dynamical systems; stability; synchronisation; uncertain systems; variable structure systems; Chen system; Lorenz system; Lyapunov stability theory; SMC; adaptive controller; antiphase synchronization; complete synchronization; numerical simulation; parameter update law; projective synchronization; sliding mode controller; uncertain chaotic system; Chaotic communication; Differential equations; Lyapunov methods; Synchronization; Trajectory; Lyapunov stability; projective synchronization; sliding mode controller;
Conference_Titel :
Chaos-Fractals Theories and Applications (IWCFTA), 2012 Fifth International Workshop on
Conference_Location :
Dalian
Print_ISBN :
978-1-4673-2825-8
DOI :
10.1109/IWCFTA.2012.54
