Robust adaptive synchronization of different uncertain chaotic systems subject to input nonlinearity

In this paper, an adaptive controller is designed to ensure robust synchronization of two different chaotic systems with input nonlinearities. For this purpose, a stable sliding surface is defined and an adaptive sliding mode controller is designed to achieve robust synchronization of the systems wh...

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Bibliographic Details
Published in:Communications in nonlinear science & numerical simulation 2010-02, Vol.15 (2), p.430-441
Main Authors: Kebriaei, Hamed, Javad Yazdanpanah, M.
Format: Article
Language:English
Subjects:
Adaptive control
Chaos synchronization
Input nonlinearity
Robust control
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Summary:In this paper, an adaptive controller is designed to ensure robust synchronization of two different chaotic systems with input nonlinearities. For this purpose, a stable sliding surface is defined and an adaptive sliding mode controller is designed to achieve robust synchronization of the systems when the control input is influenced through nonlinearities produced by actuator or external uncertainty recourses. The adaptation law guarantees the synchronization assuming of unknown model uncertainty. Furthermore by adding an integrator and incorporating a saturation function in the control law, the chattering phenomenon caused by the sign function is avoided. The simulation results for synchronization of Chua’s circuit and Genesio systems show the efficiency of the proposed technique.
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2009.04.005