A lubrication system is provided for an aircraft turbine machine, the lubrication system being controlled by a closed-loop logic arrangement, wherein the oil pressure of a lubricant circulated therein is monitored and altered according to attitude data, acceleration data, operating mode data, or some combination thereof contained in a signal received from an airframe flight controller and according to a oil pressure signal and an oil temperature signal. The logic responsively provides a supply pump speed control signal, according to a predetermined target oil pressure value selected to correspond to the data contained in the signals. The target value may be continuously compared to the present oil pressure value and the present oil pressure adjusted by sending a motor control signal to the supply pump and a valve flow control signal to a flow control valve that conditionally allows oil from the outlet side of the supply pump to be fed back to its inlet side.