Design of a model-free adaptive sliding mode control to synchronize chaotic fractional-order systems with input saturation: An application in secure communications |
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| Institution: | 1. School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China;2. School of Mathematics, Jiaying University, Meizhou 514015, China;3. National Key Laboratory for Cryptography And Technology, Beijing 100000, China;4. School of Economics and Statistics, Guangzhou University, Guangzhou 510006, China;1. Bernoulli Institute for Mathematics, Computer Science, and Artificial Intelligence, University of Groningen, the Netherlands;2. Normandie Université, INSA-Rouen, LMI, Saint-Etienne-du-Rouvray 76801, France;1. Department of Mathematics, Alagappa University, Karaikudi 630 004, India;2. Ramanujan Centre for Higher Mathematics, Alagappa University, Karaikudi 630 004, India;3. School of Mathematics and Statistics, Hunan Normal University, Hunan 410081, China;4. School of Information Science and Engineering, Chengdu University, Chengdu, 610106, China;5. Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 12435, Saudi Arabia;6. Faculty of Automatic Control, Electronics and Computer Science, Department of Automatic Control and Robotics, Silesian University of Technology, Akademicka 16, 44–100 Gliwice, Poland;7. Institute for Intelligent System Research and Innovation, Deakin University, Australia |
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| Abstract: | In this work, a model-free adaptive sliding mode control (ASMC) methodology is proposed for synchronization of chaotic fractional-order systems (FOSs) with input saturation. Based on the frequency distributed model and the non-integer version of the Lyapunov stability theorem, a model-free ASMC method is designed to overcome the chaotic behavior of the FOSs. The control inputs are free from the nonlinear-linear dynamical terms of the system because of utilizing the boundedness feature of the states of chaotic FOSs. Moreover, a new medical image encryption scheme is tentatively proposed according to our synchronization method, and its effectiveness is verified by numerical simulations. Furthermore, the performance and security analyses are given to confirm the superiority of the proposed encryption scheme, including statistical analysis, key space analysis, differential attack analysis, and time performance analysis. |
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