An apparatus, system, and method using an elastic biasing element in combination with an encoder arrangement for precise control of force or torque applied to a moving object, is applied for controlling a feed force applied to an abrasive element of a bore finishing tool, to respond to changes in the feed force such as can arise from contact with a workpiece bore surface and variations therein, such as tapers, hourglass shapes, barrel shapes, and the like. The elastic biasing element can include a single or multiple springs in one or more sets, and the feed force can be selected to have a constant value or vary as a function of time, position, or other variables or conditions.