DC-DC converters are some power electronic circuits that convert the DC voltage from one level to another. They have a very large area of applications ranging from computing to communication. They are widely used in appliance control transportations and high-power transmission. Its increasing demand is based on its capability of electrical energy conversion. The basic topologies of DC-DC converter are Buck converter and Boost converter, other topologies are derived from these two basic topologies. Mathematical modelling of both Buck converters is done. Some of the control schemes are summarized in this paper. Current mode control (CMC), PID, Sliding Mode (SM) control including their advantages and disadvantages are highlighted in this paper.