Design of Adaptive-Robust Controller for Multi-State Synchronization of Chaotic Systems with Unknown and Time-Varying Delays and Its Application in Secure Communication
Ali Akbar Kekha Javan,
Afshin Shoeibi,
Assef Zare,
Navid Hosseini Izadi,
Mahboobeh Jafari,
Roohallah Alizadehsani,
Parisa Moridian,
Amir Mosavi,
U. Rajendra Acharya,
Saeid Nahavandi
Affiliations
Ali Akbar Kekha Javan
Faculty of Electrical Engineering, Gonabad Branch, Islamic Azad University, Gonabad 6518115743, Iran
Afshin Shoeibi
Biomedical Data Acquisition Lab (BDAL), Faculty of Electrical Engineering, K. N. Toosi University of Technology, Tehran 1996715433, Iran
Assef Zare
Faculty of Electrical Engineering, Gonabad Branch, Islamic Azad University, Gonabad 6518115743, Iran
Navid Hosseini Izadi
Department of Electrical and Computer Engineering, Isfahan University of Technology, Isfahan 8415683111, Iran
Mahboobeh Jafari
Electrical and Computer Engineering Faculty, Semnan University, Semnan 3513119111, Iran
Roohallah Alizadehsani
Institute for Intelligent Systems Research and Innovation (IISRI), Deakin University, Waurn Ponds, VIC 3217, Australia
Parisa Moridian
Faculty of Engineering, Science and Research Branch, Islamic Azad University, Tehran 1477893855, Iran
Amir Mosavi
Faculty of Civil Engineering, Technische Universität Dresden, 01069 Dresden, Germany
U. Rajendra Acharya
Department of Biomedical Engineering, School of Science and Technology, Singapore University of Social Sciences, Singapore 599494, Singapore
Saeid Nahavandi
Institute for Intelligent Systems Research and Innovation (IISRI), Deakin University, Waurn Ponds, VIC 3217, Australia
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.
