poised vs self-possessed

poised and self-possessed both are adjectives.

Word	Noun	Adjective	Verb	Adverb
poised	No	Yes	No	No
self-possessed	No	Yes	No	No

As adjectives, poised and self-possessed are synonyms defined as:

Other synonyms of poised include collected, equanimous, self-collected, self-contained.

poised (adjective)	self-possessed (adjective)
marked by balance or equilibrium and readiness for action	in full control of your faculties
in full control of your faculties