The paper describes a new hierarchical tokamak plasma shape control method implemented in the system with
switching robust controllers and matching state vectors. A system robustness was achieved via the H∞ loopshaping
design. A novel modeling approach was used for the feedback system simulation: tokamak plasma
equilibrium was calculated by the reconstruction code receiving the sum of experimental scenario signals and
the output signals of a linear parameter varying (LPV) model, and sending the output to the multivariable plasma
shape controller to close the loop. The LPV plant model is based on plasma equilibria reconstructed from the
experimental data of the spherical tokamak Globus-M and is used to simulate plasma responses to small deviations
from tokamak discharge scenario. The control system components were designed and combined to
achieve high-performance operation during short pulses of plasma with total duration of about 200 ms and the
divertor phase time length of 20–25 ms. The non-iterative Improved Moving Filaments method was developed
for the plasma equilibrium reconstruction with the simultaneous determination of coordinates and currents of
filaments. The plasma shape is controlled via the magnetic field at X-point and poloidal fluxes on a plasma
separatrix, without calculation of the gaps between the plasma separatrix and the first wall. The hierarchical feedback control method was used in simulations of the entire plasma discharge with the transition from the
limiter to the divertor plasma magnetic configuration. The control system was discretized and simulated on a
high-speed computer to be prepared for application in Globus-M experiments by a real time test bed.