The steady-state operation with low error and the fast dynamic response in transient of the DC-DC converter circuits depend on the controller design. The performance of the controller used in DC-DC converters, which vary the level of DC voltage depends on the controller coefficients. Although classical methods are often used to determine these coefficients in controller design, various modern optimization methods have been recently used. In this study, the DC-DC buck converter control simulation is performed with FOPID, PID and TID controllers. Aquila Optimizer, African Vultures Optimization Algorithm and Hunger Games Search optimization algorithms are used to determine the coefficients of these controllers in the literature. However, Fitness-Distance Balance Based Runge Kutta is employed first time for PID controller in buck converter in this study. The performance indices integral absolute error, integral square error, integral time absolute error, and integral time squared error are employed to assess the outcomes. When the results obtained are examined, the FOPID controller gives the best results in the control of the buck converter. These results are obtained by using the coefficients determined by the Fitness-Distance Balance Based Runge Kutta (FDBRUN) optimization algorithm. It has better performance than the other algorithms.INDEX TERMS Fractional-order PID controller, buck converter, optimization techniques