Thesis:

Resilient Control and Synchronization of Fractional Order Uncertain Chaotic System in the Presence of Delay

Today, resistant control methods play an important role in the advancement of technology and human movement towards further evolution. Chaotic systems are one of the most important human discoveries over the past years, which play an important role in everyday life. Considering the importance of synchronization in chaotic systems, this study presents a new approach to achieve this goal. Simultaneous consideration of delay, disturbances, uncertainties and nonlinear terms in a chaotic system of fractional order creates a fundamental challenge to achieve the goal of synchronization, and this thesis presents a new hybrid robust approach consisting of fuzzy and sliding mode methods. and offer The fuzzy method has been used to estimate the delay nonlinear functions as well as the uncertain parts of the fractional order chaotic system, and the adaptive sliding mode technique has been considered to ensure stability against the effects of multiple adversities. Finally, the simulation and comparison in the MATLAB environment confirm the efficiency and ability of the proposed scheme in achieving the goal of robust synchronization despite uncertainty, time delay, disturbance and nonlinear conditions.an adaptation to overcome it

Keywords: Chaotic system, fractional order chaotic system, uncertainty, time delay, disturbance, synchronizati