What are some different types of leverage or coercion that are used to control people?

Restriction of access to necessary resources, food, shelter, health care etc.

Sex, money, threats, safety of your family, loss of job/income.

Carrots and sticks.

gaslighting

I use popcorn to get the boys out of their room.

The CIA purportedly uses the acronym MICE: money, ideology, compromise, ego to recruit targets and get them to hand over secrets.

Anything of value can be used to coerce or control.