Stay at Shanghai Pudong airport due to arrive there in the middle of night

Hi..Please kindly advise whether we can stay at Pudong airport for several hours from in the midlle of night until morning.? Our flight will arrive at Pudong around 00.30. we heard that there is no subway anymore around that time. considering of expense also the safety if we go to to Shanghai city in the middle of night. we prefer to stay at Pudong air port until morning. is it possible for us to stay at the air port or you have any suggestion? thank you so much