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Mathematical Problems in Engineering
Volume 2015, Article ID 651950, 9 pages
Research Article

Time-Delay Robust Nonlinear Dynamic Inversion for Chaos Synchronization with Application to Secure Communications

1Agency for Defense Development, Changwon 645-600, Republic of Korea
2Institute of Biomedical Engineering Research, Kyungpook National University, Daegu 702-701, Republic of Korea
3School of Electronics Engineering, Kyungpook National University, Daegu 702-701, Republic of Korea

Received 1 July 2015; Accepted 8 October 2015

Academic Editor: Mohamed Djemai

Copyright © 2015 Eunro Kim 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.


The time-delay robust nonlinear dynamic inversion (TDRNDI) control technique is proposed to synchronize time-delay Chen systems. The time-delay Chen circuit is simple but exhibits complex irregular (chaotic) behavior. For this reason, this circuit can be efficiently used to encrypt messages for secure communication. In this paper, the nonlinear control-based chaos synchronization problem is considered. The proposed TDRNDI controller is a modified version of a robust nonlinear dynamic inversion (RNDI) applicable to chaotic systems, including time-delay systems. The performance and feasibility of the proposed TDRNDI controller are demonstrated by conducting numerical simulations with application to a secure communication network.