A couple comments.
1)
Danger, Will Robinson! Danger!
What does Danger Will Robinson mean?
It is a reference to a common bit of dialogue spoken by the robot in the 1960's TV series, "Lost in Space" . The robot often served as young Will Robinson's companion and guardian. The phrase made it into the culture, and still serves as a warning that someone is probably about to make a mistake.
www.quora.com/What-does-Danger-Will-Robinson-mean
In industry an
Emergency Stop is required to directly, physically, remove power to a circuit, or directly mechanically disengage or prohibit physical movement.
By definition something is not doing as expected and it is required to take the simplest, most effective means to avoid danger or damage.
In a car the ignition key serves this purpose. (At least it used to until people were more worried about theft than about safety.)
If you need an
Emergency Stop button, have it directly disconnect the power source from whatever is being controlled. Do NOT count on ANY semiconductor, or even a relay, to do this.
2)
I don't think you will need a fancy PID controller for this project if it is on a vehicle that a human is driving. The Human has learned in Driver Education training how to implement that algorithm to maintain speed. It seems to have worked rather well over the decades that carburetors were used. A small Derivative term did get added as an 'Acceleration Pump' to keep the engine running for sudden WOT (Wide Open Throttle) activity. (like beating that Yellow light up ahead.

)
Cheers,
Tom