Title: Synchronisation of different order chaotic systems with delay and parametric uncertainty

Authors: Vaibhav Kumar Singh; Vivek Sharma; B.B. Sharma; Ravinder Nath

Addresses: Department of Electrical Engineering, IIT Roorkee, Uttarakhand, 247667, India ' Department of Electrical Engineering, NIT Hamirpur, H.P. 177005, India ' Department of Electrical Engineering, NIT Hamirpur, H.P. 177005, India ' Department of Electrical Engineering, NIT Hamirpur, H.P. 177005, India

Abstract: The paper addresses synchronisation of two different order chaotic systems with time delay in response system using modified projective synchronisation. The uncertainty in the parameters of both drive and response systems is considered while designing adaptive controller and adaptive parameter updating laws, based on Lyapunov stability theory. Numerical simulations for two cases, i.e., synchronisation between hyper-chaotic Lorenz and time delayed chaotic Lü system and hyper-chaotic Lü and advanced Lorenz system with delayed dynamics, are presented to show the feasibility and effectiveness of the proposed method.

Keywords: modified function projective synchronisation; MFPS; added order scheme; time delayed chaotic systems; uncertain parameters; adaptive control; parametric uncertainty; chaos; controller design; Lyapunov stability theory; numerical simulation.

DOI: 10.1504/IJANS.2016.077008

International Journal of Applied Nonlinear Science, 2016 Vol.2 No.3, pp.184 - 199

Accepted: 07 Sep 2015
Published online: 17 Jun 2016 *

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