You can start by trying out a traffic lights control project. The sequence that it uses to control traffic and pedestrian crossing. Study the operation and apply it to the program. I would recommend using a type that will allow you to use either statement list or ladder logic.
I gather by "PLC" you are describing a "Programmable Logic Controller".
If so, the control applications number into the millions.
I have used PLC's to control a plating line and a Concrete Processing Plant and numerous other machines. There are hundreds of text books on PLC's and many have exercises that start out small and build in complexity.
Do some searching at PLC Manufactures web sites and you will probably come up with some literature that take you step by step through designing some simple control programs.