I would like to digitally set an RPM for a 2hp, 60 hz, single phase AC motor and have it hold that speed within something around 3%.

Most of the controllers I've seen for simple single phase motors are more like a light dimmer or a fan control that is analog and doesn't adjust things based on load. Are there any digital speed controls that are affordable and that will let me set a RPM and then keep the motor at that RPM during a varying load on the motor?

(I know there are vector type drives for three-phase motors but I don't know about single phase motors)