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Abstract Chaotic systems are highly nonlinear systems. Although they are deterministic their main characteristic is that, their sensitivity to the initial conditions. Controlling such systems is very challenging. The most challenging is to synchronize two chaotic systems. The principal investigation undertaken in this thesis is the development of control and synchronization between two chaotic systems by using the intuitionistic fuzzy controller (IFC) and optimized intuitionistic fuzzy controller (OIFC). To deal with this problem, the intuitionistic fuzzy controller has been used to overcome this problem and to synchronize two chaotic systems that have different initial conditions very fast. The main objective of the IFC scheme is to collect more information about the system that enlarges the class of uncertainty, supplies flexibility, which represents the incomplete knowledge in real systems. Optimizing the controller parameters is one of the most perquisites in the field of control systems. So, an artificial bee colony (ABC) has been used to optimize the scaling factor of IFC to make the controller more robust to disturbance and uncertainty. The simulation results based on many test cases have been accomplished to evaluate the effectiveness of the proposed control and to demonstrate its reliability to control and synchronize two chaotic systems with comparative results. The simulation results based on the comparative study show that IFC has better performance than fuzzy control (FC) based on the performance indices and the time response. Practical implementation is a very effective way to better judge the proposed controller in this thesis. So, a comparative study between IFC and OIFC has been done depending on the results of the control in the loop (CIL). The results of CIL show that OIFC is better than IFC based on the proposed test cases. |