بسم الله الرحمن الرحيم
If you are sahib-e-tartib (performed all salah after maturity) and such situation happens then when you get up at the time of Fajr, then first offer witr salah after making wudhu and if time allows then offer two rakah Fajr sunnah and then offer the fardh of Fajr. As you are unable to control sleep, you should offer sunnah and witr salah after Isha prayer and offer only tahajjud salah when you get up at the time of tahajjud.
Allah knows Best!
Darul Uloom Deoband
This answer was collected from the official ifta website of Darul Uloom Deoband in India.