Closed-loop control of swing

A system (118) and method for controlling the swing of a machine (100) is disclosed. The system (118) may comprise a hydrostatic circuit (120) that includes an electronic displacement control pump (122) and a first swing motor (124a) fluidly connected in a closed loop circuit. The electronic displacement control pump (122) configured to control the supply of fluid to the swing motor (124a) based on a final pump displacement command. The first swing motor (124a) configured to rotate the upper carriage (104) of the machine (100). The hydrostatic circuit (120) configured to control (a) an actual speed of the first swing motor (124a) when the final pump displacement command results from a requested swing motor speed and (b) a torque of the first swing motor (124a) when the final pump displacement command results from a requested swing motor torque.