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Complexity
Volume 2017 (2017), Article ID 5017127, 8 pages
https://doi.org/10.1155/2017/5017127
Research Article

Novel Fuzzy-Modeling-Based Adaptive Synchronization of Nonlinear Dynamic Systems

1Graduate Institute of Automation Technology, National Taipei University of Technology, Taipei, Taiwan
2Institute for the Development and Quality, Macau
3Department of Electromechanical Engineering, Faculty of Science and Technology, University of Macau, Macau

Correspondence should be addressed to Shun-Hung Tsai

Received 19 July 2016; Accepted 19 January 2017; Published 7 March 2017

Academic Editor: Driss Boutat

Copyright © 2017 Shih-Yu Li et al. 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.

Abstract

In this paper, a novel fuzzy-model-based adaptive synchronization scheme and its fuzzy update laws of parameters are proposed to address the adaptive synchronization problem. The proposed fuzzy controller does not share the same premise of fuzzy system, and the numbers of fuzzy controllers is reduced effectively through the novel modeling strategy. In addition, based on the adaptive synchronization scheme, the error dynamic system can be guaranteed to be asymptotically stable and the true values of unknown parameters can be obtained. Two identical complicated dynamic systems, Mathieu-Van der pol system (M-V system) with uncertainties, are illustrated for numerical simulation example to show the effectiveness and feasibility of the proposed novel adaptive control strategy.