Only thing I could suggest is contact someone like PLC Centre and see if they can help by repairing the power circuit.
Another issue is that if the PLC battery is dead and the program is in battery backed RAM it will be gone.
I fail to understand why the PLC has not been replaced well before this. Support and repairs for the C20 must have been discontinued by Omron 20 years ago.
You could be in trouble! Although that old tiger really did not carry very much program - very small memory capacity.
Then you have to have the really old software, serial link unit and a cable - the last time I used one of these was with the old Wamco DOS software - memories!