General antonyms:
* Calm
* Peaceful
* Tranquil
* Serene
* Composed
* Unruffled
* At ease
* Relaxed
More specific antonyms:
* Unbothered (if perturbed means "worried")
* Content (if perturbed means "unhappy")
* Satisfied (if perturbed means "dissatisfied")
* Unconcerned (if perturbed means "anxious")
The best antonym will depend on the specific meaning of "perturbed" in the sentence.