Unregistered,
There are so many common problems associated with a PLC system, that I hesitate to limit them to four, but here would be my four:
1. Finding circuit problems on a PLC system cannot be easily done without access to the software and ladder logic, where the old relay logic circuits could be visually inspected without any other aids other than an eyeball and a brain!
2. PLC systems are subject to failures from logic faults, power blinks, low backup batteries, operator error, and loss of network communications.
3. If you buy equipment containing a PLC, if you do not get a copy of the software and ladder program, then you have only half a machine. If for any reason you need to access or change the logic, you would have to go back to the original vendor.
4. PLCs, like any computer-related device, become obsolete rapidly. You could be in a situation where the PLC on your old machine is no longer supported by the manufacturer.