Advanced Matrix Converters: Topology, Modulation, and Control is a comprehensive guide for readers interested in developing advanced direct AC-AC converters, commonly known as matrix converters (MCs). These MCs offer an all-silicon and environmentally friendly solution that has garnered increasing attention in recent years due to their ability to eliminate bulky passive components and improve the converters' power density, conversion efficiency, and reliability. This book covers the principles of topology construction, advanced modulation strategies, application areas, and control methods. It includes topics such as efficient AC-AC conversion, multi-level conversion, and high-performance adjustable speed drives. It is an essential resource for researchers, engineers, and designers who must select the most appropriate new topologies and control methods for specific applications.