The full text of this article
Sliding mode-based synchronisation and control of chaotic systems with parametric uncertainties
by Aida Fourati, Moez Feki, Nabil Derbel
International Journal of Modelling, Identification and Control (IJMIC), Vol. 5, No. 4, 2008
Abstract: In this paper, we propose a result on controlling chaos using the sliding mode control method. We show that for the class of chaotic systems that can be stabilised using a smooth feedback controller, a sliding surface can be easily constructed based on the Lyapunov theory. Moreover, it is shown that if the states are confined to the sliding surface, then the originally chaotic trajectories will slide along a stable manifold towards the equilibrium. In addition to stabilisation, we show that the proposed controller can also lead to synchronisation of two chaotic systems when the problem is regarded as trajectory tracking. We also prove that the proposed controller becomes robust to parametric uncertainties by increasing the gain. Besides, the unwanted chattering phenomenon can be reduced by adaptively tuning the sliding gain. All these results are confirmed through numerical simulations on a set of jerk systems.
Online publication date: Wed, 25-Feb-2009
is only available to individual subscribers or to users at subscribing institutions.
Go to Inderscience Online Journals to access the Full Text of this article.
Pay per view:
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.
Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Modelling, Identification and Control (IJMIC):
Login with your Inderscience username and password:
Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable).
See our Orders page to subscribe.
If you still need assistance, please email firstname.lastname@example.org