Title: Adaptive H_∞ synchronisation of two different general chaotic systems with external disturbances

Authors: Li-Lan Tu; Ai-Ming Xiong

Addresses: Hubei Province Key Laboratory of Systems Science in Metallurgical Process, Wuhan University of Science and Technology, Wuhan 430081, China ' Hubei Province Key Laboratory of Systems Science in Metallurgical Process, Wuhan University of Science and Technology, Wuhan 430081, China

Abstract: We investigate the synchronisation of two different general chaotic systems with external disturbances via the adaptive H_∞ control technique. Based on the Lyapunov stability theory and linear matrix inequality (LMI), several adaptive H_∞ synchronisation schemes are established which guarantee robust asymptotically synchronisation for the drive system and the noise-perturbed response system as well as achieving a prescribed robust H_∞ performance level. Finally, the Lorenz system and the noise-perturbed Rössler system are taken as an example to analyse the adaptive H_∞ synchronisation process. The numerical simulations have shown the correctness and effectiveness of the proposed methods.

Keywords: general chaotic systems; external disturbances; adaptive control; H-infinity synchronisation; LMI; linear matrix inequality; H-infinity control; numerical simulation.

DOI: 10.1504/IJSCC.2013.054146

International Journal of Systems, Control and Communications, 2013 Vol.5 No.1, pp.60 - 73

Published online: 12 Jul 2014 *

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