To check means to examine. To make certain that something or someone is correct, safe or suitable by examining it or them quickly.
For example: "You should always check your oil, water and tyres before
taking your car on a long trip."
(also when you go to the doctor, you have a check-up- the word control is used here in Czech)
To control means to order, limit, instruct or rule something, or someone's actions or behaviour.
For example: "If you can't control your dog, put it on a lead!"
What you shouldn't do is use the verb control in association with people and the work they do.
For example: "I check my students' homework, but I can't control what they do!"