Is there a way to hasten recovery from sleep inertia?
Not a completely scientific answer, but a few suggestions that I'd make based on a general understanding of the sleep literature:


Increase the amount of sleep you are getting in general and thereby reduce sleep debt
Increase the amount of sleep you are getting on the immediately preceding night (i.e., both these points are that its easier to wake up when you are less sleep deprived)
Permit morning light to enter your room (to trigger various arousal responses)
Maintain a regular sleep pattern to ensure that your various circadian rhythms are aligned (i.e., sleep with temperature with arousal, etc.)
Set a mental alarm clock the night before regarding when you want to wake up
Have a consistent morning routine to minimise the need for executive control after waking.