Title: Lag synchronisation of chaotic systems using sliding mode control

Authors: Hua Meng; Yueying Wang; Jianhua Zhang; Yang Li

Addresses: Department of Electrical Engineering, Hebei University of Science and Technology, Yuxiang Street, Shijiazhuang, 050018, China ' Department of Electrical Engineering, Hebei University of Science and Technology, Yuxiang Street, Shijiazhuang, 050018, China ' Department of Electrical Engineering, Hebei University of Science and Technology, Yuxiang Street, Shijiazhuang, 050018, China ' Department of Electrical Engineering, Yanshan University, Yanshan Street, Qnhuangdao, 066004, China

Abstract: In this paper, lag synchronisation of chaotic systems with disturbances is investigated based on sliding mode control. The disturbance observer is developed to ensure the boundedness of the disturbance error dynamics by using the linear matrix inequality approach. Then by sliding mode control, a control scheme is designed to realise the lag synchronisation between a drive system and a response system with disturbances, and the sufficient condition of lag synchronisation is established. The Lyapunov stability theorem is used to verify that the error system can achieve an asymptotically stable condition. A specific chaotic system is taken as an example for numerical simulation demonstration to verify the effectiveness and feasibility of the proposed approach.

Keywords: chaotic systems; lag synchronisation; sliding mode control; SMC; chaos; disturbances; linear matrix inequality; LMI; numerical simulation.

DOI: 10.1504/IJMIC.2014.065340

International Journal of Modelling, Identification and Control, 2014 Vol.22 No.3, pp.218 - 224

Published online: 30 Oct 2014 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article