In the US, a student who is suspended may not return to school for a defined period of time. (When I grew up, they had "in-house suspension" so they were in one room the whole day with only books, rather than getting a "vacation.") You can have a one-day, three-day, or week-long suspension, for example.
A student who is not allowed to return to school has been expelled.
I am not familiar with the term "excluded."