A review of explicit model predictive control

Model predictive control theory has developed for many years, including model predictive control, explicit model predictive control, and approximate explicit model predictive control. This paper summarized this theory. In section 1, we reviewed the basic details and characteristics of model predictive control, the common mathematical expression and its primary shortcomings. In section 2, we introduced some main situations of explicit model predictive control and its advantages. In section 3, we introduced some research achievements about approximate explicit model predictive control. In section 4, we discussed the online computation of explicit model predictive control and its main several methods. In section 5, we introduced some research results of our country about explicit model predictive control in past several years. In section 6, we introduced the relevant experiment platform. At the last, we made some discussion about the research tendency on explicit model predictive control in the future.