 Model predictive control, MPC, has become increasingly popular in recent years due to advances in computing power and the availability of large amounts of building data. It has been successfully implemented in thermal regulation, energy storage, and renewable energy sources. Additionally, it can be used to optimize HVAC systems by considering constraints, prediction of disturbances, and multiple conflicting objectives. However, there is currently no unified framework for implementing MPC algorithms in building control. This paper provides a common dictionary and taxonomy for engineers working with building control and then discusses the results of existing MPC algorithms for building and HVAC system management. Finally, the potential benefits of applying MPC to improve energy efficiency are highlighted. This article was authored by John Lucas Serial, Massimo Fiorentini, Alfonso Cappuzoli, and others. We are article.tv, links in the description below.