Design of Adaptive-Robust Controller for Multi-State Synchronization of Chaotic Systems with Unknown and Time-Varying Delays and Its Application in Secure Communication
Open Access
- 2 January 2021
- Vol. 21 (1), 254
- https://doi.org/10.3390/s21010254
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
This publication has 45 references indexed in Scilit:
- Wavelet OFDM-Based Non-orthogonal Multiple Access Downlink Transceiver for Future Radio AccessIETE Technical Review, 2018
- Sliding mode synchronization of multiple chaotic systems with uncertainties and disturbancesApplied Mathematics and Computation, 2017
- A simple three-dimensional fractional-order chaotic system without equilibrium: Dynamics, circuitry implementation, chaos control and synchronizationAEU - International Journal of Electronics and Communications, 2017
- Secure Communication Based on Hyperchaotic Chen System with Time-DelayInternational Journal of Bifurcation and Chaos, 2017
- Adaptive synchronization and anti-synchronization of TSUCS and Lü unified chaotic systems with unknown parametersOptik, 2017
- Hybrid function projective synchronization of chaotic systems via adaptive controlInternational Journal of Dynamics and Control, 2016
- Synchronization of Fuzzy Modeling Chaotic Time Delay Memristor-Based Chua’s Circuits with Application to Secure CommunicationInternational Journal of Fuzzy Systems, 2015
- Hardware Implementation of Lorenz Circuit Systems for Secure Chaotic Communication ApplicationsSensors, 2013
- Secure communication based on chaotic synchronization via interval time-varying delay feedback controlNonlinear Dynamics, 2010
- Cryptography based on chaotic systemsIEEE Transactions on Circuits and Systems I: Regular Papers, 1997