Control and synchronisation of an extended hyperchaotic system based on robust switching control

Abstract

This paper introduces a new class of hyperchaotic systems developed based on Chen's hyperchaotic system. The hyperchaotic nature of the developed system is proven through the calculation of the positive Lyapunov exponent and simulation. A robust feedback control method is then introduced to stabilise the system. To enhance the security of telecommunication channels for information exchange, a switching structure comprising extended hyperchaotic systems is presented. The synchronisation problem of the proposed structure is addressed using a robust switched linear control method. The simulation results show the effectiveness of the proposed controller in guaranteeing system stability and solving the synchronisation problem thus increasing security in telecommunication networks.

KEYWORDS:

• Hyperchaotic system
• robust switching controller
• synchronisation
• positive Lyapunov exponent

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Notes on contributors

Ali Nasrollahi

Ali Nasrollahi is currently pursuing PhD with the Department of Electrical Engineering, Abbaspour School of Engineering, Tehran, Iran. His main research interests include sliding mode control, adaptive control, modelling, and control of chaotic and switching systems.

Ali A. Afzalian

Ali Akbar Afzalian is an Associate Professor with the Department of Electrical Engineering, Abbaspour School of Engineering, Tehran, Iran. His main research interests include networked control systems, robust control, modelling, and control of hybrid dynamical systems.