'disturbed sleep' is correct and usable in written English.
You can use it to describe a night's sleep that was interrupted, for example: "I had a disturbed sleep last night due to noisy neighbours."
Guilleminault et al 38 showed that forced subcortical arousals accompany disturbed sleep and the persons are not necessarily aware of their disturbed sleep the following morning.
Reactions can include increased heart rate, muscle tension and disturbed sleep.
Local message boards are packed with stories of rattled windows and disturbed sleep.
The SM patients had signs of slightly disturbed sleep.
Questionnaires indicate that patients with liver disease have disturbed sleep.
Patients with Parkinson's Disease (PD) have markedly disturbed sleep.
SM patients on the other hand, had signs of slightly disturbed sleep.
Most narcoleptics have disturbed sleep because of frequent shifts from sleep to awakenings throughout the night.
Patients with OSA have disturbed sleep and excessive daytime sleepiness.
I had disturbed sleep, and would wake from nightmares.
Cough disturbed sleep in 88% of children and 72% of parents.
