The phenomenon of aircraft Pilot-Induced Oscillation (PIO) is well known from the very beginning of aviation development. It led to accidents and incidents in military aviation, and also served as a factor contributing to incidents and accidents in civil aviation. At the present stage, the problem of PIO is becoming increasingly important, affecting various classes of automated control systems, for example, such as remote control of drones, as well as spacecraft. This review attempts to characterize the phenomenon of PIO and give an idea of the available methods for its elimination. The article describes the PIO phenomenon and classifies its types, notes the connection between PIO and the technology of electric steering, presents the existing methods for preventing PIO, including organizational and technical measures for pilots training, conducting flight tests, and criteria for evaluating the aircraft flight quality. Particular attention is paid to algorithmic methods for PIO suppression implemented in the flight control system. Some numerical examples are presented.