A Novel Robust Neural Network Sliding-Mode Control Method for Synchronizing Fractional Order Chaotic Systems in the Presence of Uncertainty, Disturbance and Time-Varying Delay

다국어 초록 (Multilingual Abstract)

Given the importance of synchronization in chaotic systems, this paper presents a new approach to achieve this goal. Simultaneous consideration of time-varying delays, disturbances, uncertainties, and nonlinear terms in a fractional order chaotic system poses a fundamental challenge for achieving the synchronization goal and this paper presents a novel complex approach resulting from neural network and sliding mode approaches to overcome it. The Chebyshev neural network has been used to estimate the delayed nonlinear functions as well as the uncertain parts of the fractional order chaotic system, and the robust sliding mode technique has been considered to ensure stability against the effects of multiple inconveniences. Finally, simulation and comparison in MATLAB environment confirms the efficiency and ability of the proposed scheme in achieving the goal of robust synchronization despite the uncertainty, variable time delay, disturbance and nonlinear terms.