disapproval If you say that someone is a martinet, you are criticizing them because they are very strict and demand that people obey their rules and orders. He's a retired Lieutenant Colonel and a bit of a martinet. someone who is very strict and makes people obey rules exactly = disciplinarian (Jean Martinet (died 1672), French army officer)
{i} strict disciplinarian (especially military or navy); one who insists on order and form
In military language, a strict disciplinarian; in general, one who lays stress on a rigid adherence to the details of discipline, or to forms and fixed methods