Title: Sliding mode control-based stabilisation and secure communication scheme for hyperchaotic systems

Authors: Satnesh Singh; B.B. Sharma

Addresses: Department of Electrical Engineering, National Institute of Technology Hamirpur, Hamirpur, 177 005, Himachal Pradesh, India ' Department of Electrical Engineering, National Institute of Technology Hamirpur, Hamirpur, 177 005, Himachal Pradesh, India

Abstract: In this paper, design of a sliding mode control (SMC)-based control scheme is proposed for hyperchaotic systems. Further, the proposed procedure is extended to study robust synchronisation and secure communication scheme for hyperchaotic systems in master-slave configuration. To achieve this goal, a proportional-integral (PI) switching surface is proposed to simplify the task of assigning the performance of the closed-loop error system in sliding motion. Having established the PI switching surface, a sliding mode controller is designed. The proposed controller guarantees the occurrence of sliding motion and achieves asymptotic synchronisation of hyperchaotic systems in master-slave configuration. Then, as an application, the proposed SMC scheme is applied to construct an hyperchaotic secure communication scheme. Finally, numerical simulations are presented to show the efficacy of the proposed approach.

Keywords: SMC; sliding mode control; hyperchaotic systems; stabilisation; synchronisation; secure communications; numerical simulation.

DOI: 10.1504/IJAAC.2012.045440

International Journal of Automation and Control, 2012 Vol.6 No.1, pp.1 - 20

Received: 23 Mar 2011
Accepted: 11 Aug 2011
Published online: 31 Oct 2014 *

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