Elaboration of a generalized approach to control and to synchronize the fractional-order chaotic systems |
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| Authors: | Ammar Soukkou Salah Leulmi |
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| Affiliation: | 1. Faculty of Sciences and Technology, Department of Electronics, Jijel University, Jijel, Algeria;2. Skikda Electric Power Systems Laboratory, Faculty of Technology, Department of Electric Power Engineering, University of August 20th, Skikda, Algeria |
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| Abstract: | In this paper, a new general optimal structure and parameters of the fractional-order feedback control law (OSP-FoF) is developed for controlling and synchronizing a large class of fractional-order chaotic systems (FoCS). The design of the OSP-FoF model is based on bounded-input bounded-output stabilization arguments, small gain theorem (SGT), and the matrix norms. The proposed model is theoretically rigorous and represents a powerful and simple approach which provides a reasonable trade-off between computational overhead, storage space, numerical accuracy and stability analysis for control and synchronization purposes of FoCS. Simulation results for the stabilization and synchronization of fractional-order hyperchaotic systems demonstrate the effectiveness of this newly proposed approach. |
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| Keywords: | Fractional-order controller BIBO stability small gain theorem network controllers fractional-order hyperchaotic systems multiobjective optimization |
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