Over the last decades, research on the trajectory tracking task in wheeled mobile robots (WMR) has grown steadily. Nowadays, the WMR are present in most of the existing scientific fields, likewise, they have a wide number of applications in society. Therefore, this paper gives a literate review related to the trajectory tracking task in WMR. At the same time, a brief history of robotics, application of WMR, and the most relevant solutions for the trajectory tracking task are presented.