A math model for making step-by-step choices when you cannot see everything.
POMDP is like playing a racing game while someone blocks half the TV. You guess the track from tiny clues, then steer anyway.
Robots use it. So do self-driving cars and chat agents. It helps them watch a bit, act, then watch again.
MDP
A POMDP is an MDP with part of the world hidden.
Belief State
A POMDP uses a Belief State when the real state is unclear.
RL
Many real RL tasks fit a POMDP better than a fully visible world.
HMM
A POMDP uses the hidden-state idea from an HMM, then adds actions.