The most fundamental problem in fusion reactors is the Control of plasma
density and temperature. In this work, a zero-dimensional nonlinear model
involving approximate conservation equations for the energy and the densities of
the species is used to synthesize a nonlinear feedback controller for stabilizing the
burn condition of a fusion reactor. For this purpose, an adaptive controller is
developed using backstepping technique with three control actions which are
Deuterium-Tritium (D–T) refueling rate, injection rate of impurities and
auxiliary heating power; considering the confinement times for different species
as unknown parameters. The designed controller ensures nominal point
regulation for the energy and plasma parameter. In addition, it is capable of
rejecting perturbations in initial conditions with robustness against uncertainties
in the confinement times for different species.