Design of adaptive-robust controller for multi-state synchronization of chaotic systems with unknown and time-varying delays and its application in secure communication
Article
Javan, Ali Akbar Kekha, Shoeibi, Afshin, Zare, Assef, Izadi, Navid Hosseini, Jafari, Mahboobeh, Alizadehsani, Roohallah, Moridian, Parisa, Mosavi, Amir, Acharya, U. Rajendra and Nahavandi, Saeid. 2021. "Design of adaptive-robust controller for multi-state synchronization of chaotic systems with unknown and time-varying delays and its application in secure communication." Sensors. 21 (1). https://doi.org/10.3390/s21010254
Article Title | Design of adaptive-robust controller for multi-state synchronization of chaotic systems with unknown and time-varying delays and its application in secure communication |
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ERA Journal ID | 34304 |
Article Category | Article |
Authors | Javan, Ali Akbar Kekha, Shoeibi, Afshin, Zare, Assef, Izadi, Navid Hosseini, Jafari, Mahboobeh, Alizadehsani, Roohallah, Moridian, Parisa, Mosavi, Amir, Acharya, U. Rajendra and Nahavandi, Saeid |
Journal Title | Sensors |
Journal Citation | 21 (1) |
Article Number | 254 |
Number of Pages | 21 |
Year | 2021 |
Publisher | MDPI AG |
Place of Publication | Switzerland |
ISSN | 1424-8220 |
1424-8239 | |
Digital Object Identifier (DOI) | https://doi.org/10.3390/s21010254 |
Web Address (URL) | https://www.mdpi.com/1424-8220/21/1/254 |
Abstract | In this paper, the multi-state synchronization of chaotic systems with non-identical, unknown, and time-varying delay in the presence of external perturbations and parametric uncertainties was studied. The presence of unknown delays, unknown bounds of disturbance and uncertainty, as well as changes in system parameters complicate the determination of control function and synchronization. During a synchronization scheme using a robust-adaptive control procedure with the help of the Lyapunov stability theorem, the errors converged to zero, and the updating rules were set to estimate the system parameters and delays. To investigate the performance of the proposed design, simulations have been carried out on two Chen hyper-chaotic systems as the slave and one Chua hyper-chaotic system as the master. Our results showed that the proposed controller outperformed the state-of-the-art techniques in terms of convergence speed of synchronization, parameter estimation, and delay estimation processes. The parameters and time delays were achieved with appropriate approximation. Finally, secure communication was realized with a chaotic masking method, and our results revealed the effectiveness of the proposed method in secure telecommunications. |
Keywords | circular multi state synchronization; unknown time delays; multi-state synchronization; adaptive-robust control; time-delayed chaotic systems; time varying parameter; secure communications |
ANZSRC Field of Research 2020 | 400306. Computational physiology |
Byline Affiliations | Islamic Azad University, Iran |
K. N. Toosi University of Technology, Iran | |
Ferdowsi University of Mashhad, Iran | |
Isfahan University of Technology, Iran | |
Semnan University, Iran | |
Deakin University | |
Dresden University of Technology, Germany | |
Obuda University, Hungary | |
Norwegian University of Life Sciences, Norway | |
Singapore University of Social Sciences (SUSS), Singapore | |
Ngee Ann Polytechnic, Singapore | |
Asia University, Taiwan |
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