Schedule 1-2 hours more for "sleep time."

Anticipate being awake during this expanded period, but not to fret, there are those extra 1-2 hours to eventually fall asleep; thus the stress of not being able to fall asleep is obviated by the cushion of extra time.

During this expanded period, there's no TV (anything the expanded period eclipses, should be recorded for future watching).

Talk radio, at a barely-audible volume level is allowed unless it becomes annoying, then off it goes.

If, after 15 minutes, you're not feeling tired, read some newspapers, magazines, or in a pinch, history. No fiction!

Consider a small sleep-inducing snack such as cheese-and-crackers.

Consider masturbation; very effective in clearing the mind of the day's outrages.

In summary, the night's sleep may be a pastiches of 2-3 hour naps, but it'll be better than fretting at the red LED digital clock given a too-limited time allotment for rest.