Nonlinear Observer Design for Chaotic Systems Synchronization with Known or Unknown Parameters
Sonia Hammami
Dr. Sonia Hammami, Engineering Sciences and Techniques, El Manar Preparatory Institute for Engineering Studies, Tunisia.
Manuscript received on June 11, 2013. | Revised Manuscript received on June 15, 2013. | Manuscript published on June 25, 2013. | PP: 32-38 | Volume-1 Issue-8, June 2013. | Retrieval Number: H0348061813/2013©BEIESP
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© The Authors. Published By: Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: This paper deals with the nonlinear observer-based synchronization problem for coupled chaotic systems. At the outset, complete synchronization conditions of coupled chaotic systems for known master and slave systems parameters, is provided. The active control law developed is based on the use of aggregation techniques for error dynamics stability study and the arrow form matrix for systems description. Then, by the design of an adequate nonlinear state observer, a new synchronization scheme is formulated for two identical chaotic systems. As a final point, the proposed observer-based synchronization between two nearly identical chaotic systems with unknown parameters is carried out. Numerical simulations are presented to assess the performance and the efficiency of the proposed contributions.
Keywords: Aggregation techniques, Arrow form matrix, Chaotic systems, Synchronization, Nonlinear observer, Unknown parameters.