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The Scientific World Journal
Volume 2014, Article ID 152485, 9 pages
Research Article

Generalized Synchronization with Uncertain Parameters of Nonlinear Dynamic System via Adaptive Control

Graduate Institute of Automation and Control, National Taiwan University of Science and Technology, No. 43, Section 4, Keelung Road, Taipei 106, Taiwan

Received 19 June 2014; Revised 18 August 2014; Accepted 18 August 2014; Published 11 September 2014

Academic Editor: M. Chadli

Copyright © 2014 Cheng-Hsiung Yang and Cheng-Lin Wu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


An adaptive control scheme is developed to study the generalized adaptive chaos synchronization with uncertain chaotic parameters behavior between two identical chaotic dynamic systems. This generalized adaptive chaos synchronization controller is designed based on Lyapunov stability theory and an analytic expression of the adaptive controller with its update laws of uncertain chaotic parameters is shown. The generalized adaptive synchronization with uncertain parameters between two identical new Lorenz-Stenflo systems is taken as three examples to show the effectiveness of the proposed method. The numerical simulations are shown to verify the results.