Robust Adaptive Synchronization of a Class of Uncertain Chaotic Systems with Unknown Time-Delay
Source abstract
Abstract
In this paper, a robust adaptive control strategy is proposed to synchronize a class of uncertain chaotic systems with unknown time delays. Using Lyapunov theory and Lipschitz conditions in chaotic systems, the necessary adaptation rules for estimating uncertain parameters and unknown time delays are determined. Based on the proposed adaptation rules, an adaptive controller is recommended for the robust synchronization of the aforementioned uncertain systems that prove the robust stability of the proposed control mechanism utilizing the Lyapunov theorem. Finally, to evaluate the proposed robust and adaptive control mechanism, the synchronization of two Jerk chaotic systems with finite non-linear uncertainty and external disturbances as well as unknown fixed and variable time delays are simulated. The simulation results confirm the ability of the proposed control mechanism in robust synchronization of the uncertain chaotic systems as well as to estimate uncertain and unknown parameters.
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Research context
OpenAlex topics: Chaos control and synchronization · Neural Networks Stability and Synchronization · Nonlinear Dynamics and Pattern Formation
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Faculty of Electrical Engineering, Gonabad Branch, Islamic Azad University, Gonabad 6518115743, Iran
Faculty of Electrical Engineering, Neyshabure Branch, Islamic Azad University, Neyshabure 6518115743, Iran
Biomedical Data Acquisition Lab (BDAL), Faculty of Electrical Engineering, K. N. Toosi University of Technology, Tehran 1996715433, Iran
Computer Engineering Department, Ferdowsi University of Mashhad, Mashhad 9177948974, Iran
Electrical and Computer Engineering Faculty, Semnan University, Semnan 3513119111, Iran
Institute for Intelligent Systems Research and Innovation (IISRI), Deakin University, Waurn Ponds, VIC 3217, Australia
Faculty of Civil Engineering, Technische Universität Dresden, 01069 Dresden, Germany
John von Neumann Faculty of Informatics, Obuda University, 1034 Budapest, Hungary
School of Economics and Business, Norwegian University of Life Sciences, 1430 Ås, Norway
Department of Informatics, J. Selye University, 94501 Komarno, Slovakia
References (30)
Show source-provided references
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