self-possessed vs unflappable

self-possessed

adj
  • In full control of one's faculties, and having a firm belief in one's abilities; confident, assured and poised. 

unflappable

adj
  • Remaining composed and level-headed at all times; impossible to fluster; not becoming frustrated or irritated easily. 

How often have the words self-possessed and unflappable occurred in a corpus of books? (source: Google Ngram Viewer )