Model Predictive Control (MPC) emerged years ago as an attractive control strategy for power electronics systems. Main advantages of MPC are the simple concept, the capability to include easily different control objectives and the high dynamic performance. On the contrary, like any new strategy, it also has disadvantages such as dependence on the mathematical model, dependence on the parameters and a variable frequency spectrum. However, thanks to the work carried out by the scientific community, most of these disadvantages has been resolved. This talk aims to introduce the audience to MPC and show them its evolution and applications. Special attention will be given to use of MPC in multilevel inverters using few calculations and how to avoid the use of weighting factors. The presentation will also present the evaluation to be used in high power drives and in electric vehicles. Finally, this talk will discuss the challenges that MPC must overcome to be adopted by the industry.