Comparison of optimization methods for finding controller parameters in synchronization of chaotic systems

Chaotic oscillators are used to ensure data security and to prevent unauthorized persons from accessing the transmitted data. While providing this security, signals generated from chaotic oscillators are used. With the help of these oscillators, our data is encrypted. In this study, the synchronization of chaotic oscillators at the transmitter and receiver sides to decode the encrypted voice or any data at the receiver side is performed with PID controller coefficients obtained from two different metaheuristic algorithms, Butterfly-based particle swarm optimization and Gray Wolf Optimization algorithm. Metaheuristic algorithms are algorithms inspired by the behavior of herding animals. Using these algorithms, the synchronization of the parameters of the chaotic oscillators, which are desired to ensure data security, was realized in time. While achieving this synchronization, certain controller parameters were found. Synchronization was achieved with the found controller parameters and performance analysis and comparisons were realized.