My car started to shake or rattle then it shut off

I love grandpre's I've owned one myself they are awesome cars and they got balls the only thing I can think of that it might be is at your either sorry to say ran out of gas or could be your fuel filter or your fuel pump that's the basic those are easy to change the next step up is going to be a you're one of your sensors in your camshaft and that is a whole nother Ball Park start with the basics first

As has been said (sort of) it could be your fuel pump. Before you start replacing things though you need to make sure. Check the fuel pressure. Scan for trouble codes. Make sure your battery connections are clean and tight. With that information in hand you should have some direction as to what needs to be done next.