This paper provides a comprehensive overview of predictive control methods applied to power electronics and drives. Predictive control, a broad class of controllers, has gained recent attention due to advancements in microprocessor technology. The authors classify and explain various predictive control methods, including hysteresis-based, trajectory-based, deadbeat, model predictive control (MPC), and finite control set MPC (FS-MPC). Each method is detailed with application examples, highlighting their advantages such as intuitive concepts, flexibility, and the ability to handle nonlinearities and constraints. The paper also discusses the implementation challenges and performance improvements of these methods, particularly in achieving fast transient responses and reducing switching frequency. The authors conclude that predictive control is a powerful tool for designing controllers in power electronics and drives, offering a wide range of applications and future research opportunities.This paper provides a comprehensive overview of predictive control methods applied to power electronics and drives. Predictive control, a broad class of controllers, has gained recent attention due to advancements in microprocessor technology. The authors classify and explain various predictive control methods, including hysteresis-based, trajectory-based, deadbeat, model predictive control (MPC), and finite control set MPC (FS-MPC). Each method is detailed with application examples, highlighting their advantages such as intuitive concepts, flexibility, and the ability to handle nonlinearities and constraints. The paper also discusses the implementation challenges and performance improvements of these methods, particularly in achieving fast transient responses and reducing switching frequency. The authors conclude that predictive control is a powerful tool for designing controllers in power electronics and drives, offering a wide range of applications and future research opportunities.