The paper is devoted to the short survey of the results in the area of high temperature plasma control in tokamaks as future fusion reactors obtained by the specialists of V.A. Trapeznikov Institute of Control Sciences of the Russian Academy of Sciences in collaboration with Kurchatov Institute (Moscow), State Research Center of RF Troitsk Institute for Innovation & Fusion Research (Troitsk), Ioffe Physical-Technical Institute of the Russian Academy of Sciences, Efremov Institute (St. Petersburg). Plasma in magnetic field is a complex multivariable dynamical plant with distributed parameters and uncertainties so requires application of nonstandard control methods and systems. The survey shows that to deal with the plasma control problem a systemic approach has been applied which includes the whole arsenal of control methodologies: control algorithms, linearization, reduction, and identification procedures. A basic design line is related to hierarchical systems which have combinations of different control algorithms applied at different system layers to achieve high precision and reliability of system operation. The plasma behaviors in the feedback loops are investigated in different conditions and at different statements of control problems for plasma magnetic and kinetic control systems. Future work is needed to apply the methodologies developed to operating and being constructed tokamaks in the period ahead.