dbaird has it correct. Electronic line shafting is what is required for your application. I would not however recommend using the Indramat servo drives from Bosch Rexroth. These drives are extremely complicated and are over kill for the type of application you are speaking of.These drives can handle interpolation and other advanced applications including CNC. Two years ago I did a project whereby a single turret machine driven by a servo motor was electronically coupled to a discharge conveyor also driven by a servo motor, and a servo driven flow wrapper machine.
The servo drive used to control the main drive motor acted as the "master" The servo drive controlling the discharge conveyor acted as the slave. The slave followed the master at a velocity and phase that was at some proportion to the master servo drive. The master and slave drives communiacted over sercos (fiberoptic) network. The flow wrapper followed an encoder that was attached to the main drive of the single turret machine. The result was that the main drive turret,discharge conveyor, and flow wrapping machine were phase and velocity synchronized. I would recommend that you use one servo drive for the master and the other two as slaves. A major problem arises if each machine has separate low and high level conditions, Which require each machine to stop and start independently.
One major disadvantage I discovered with the indramat system was that the accel and decel ramps are identical.
I discovered that the main drive cluth on the single turret machine would trip when the drive decelerated to a stop.
The solution was to slowly ramp down the analog velocity input to the drive. I referred to this as rampdown speed. when the main drive was required to stop, a signal was sent for a rampdown request to the drive and the analog voltage was gradually reduced. When the desired rampdown speed was reached in the drive, a confirmation signal was sent to the PLC. Upon receiving this signal, the plc then sent the stop signal to the drive, thereby stopping the main turret, and preventing the main drive clutch from tripping.
Best regards, PLCSAVVY