In this paper, we present the modeling and simulation results of the fuzzy relay type controllers for solving the double integrator control problems. We also give the comparative analysis of determined and fuzzy relay type controllers with leading hysteresis. Unlike determined controller, the fuzzy relay type law does not use the derivative of an input signal. Therefore, the performance of the fuzzy relay type controller with the noisy input is much high. On the other hand, fuzzy system with the fuzzy relay type controller is more robust than classical one - this is the main advantage of the fuzzy controllers. Simulation of the fuzzy relay type controller is executed by using tools in MATLAB.