I haven't seen any references to SIS in our industry. DOT, along with industry Standards (ASME, API, ISA, NFPA, etc.) pretty much set the requirements.
You can implement the safety system in your control system, but you must have local safety backup devices in place. For instance, a relief valve or monitor or high-pressure override connected to a positive shutoff valve must be installed on the pipeline.
The control system (PLC, DCS, other) serves as a primary device to avoid the condition. It might close the PSO valve to isolate the line when pressure increases above a setpoint. A separate pressure switch would also close that valve, perhaps at a higher setpoint, in case the control system failed.
My company uses some PLC-based safety systems on compressor installations, mostly for fire or gas detection. These systems are almost always separate from the process control system. Many are redundant and/or have "voting" capabilities.