Title: Passivity-based control of the new hyperchaotic system

Authors: Karim Kemih; Hanane Bouraoui; Malek Ghanes; Riad Remmouche; Abdelkader Senouci

Addresses: LAMEL Laboratory, Electrical Department, Jijel University, BP 98, 18000 Jijel, Algeria. ' LAMEL Laboratory, Electrical Department, Jijel University, BP 98, 18000 Jijel, Algeria. ' ECS-ENSEA, 06 Avenue du Ponceau, 95014 Cergy-pontoise Cedex, France. ' LAMEL Laboratory, Electrical Department, Jijel University, BP 98, 18000 Jijel, Algeria. ' CRD-DAT/CFDAT-Reghaia, 16036 Reghaia, Algiers, Algeria

Abstract: This paper considers the problem of passivity-based controller design for a new hyperchaotic system. By transforming this hyperchaotic system into an equivalent passive system, it is proved that the equivalent system can be asymptotically tracking the desired trajectories. The feasibility and effectiveness of the proposed scheme is demonstrated.

Keywords: new hyperchaotic systems; passive control; nonlinear control; Lyapunov stability theory; chaos; controller design; trajectory tracking.

DOI: 10.1504/IJMIC.2012.049687

International Journal of Modelling, Identification and Control, 2012 Vol.17 No.3, pp.206 - 211

Published online: 17 Dec 2014 *

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