Multiloop Cascade System to Track Plasma Current and Shape in Tokamak with Decoupling of Control Channels

The multiloop cascade system for tracking the plasma current and shape in tokamak at the stage of supplying the plasma current is considered. For synthesizing the internal cascade of tracking the scenario currents in coils of poloidal magnetic fields, the method of the complete dynamic separation of channels using the object model reduction by Hankel singular values is applied. In order to synthesize the external cascade of tracking the plasma shape and current, the pseudo-separation of channels by Moore-Penrose method and the multidimensional P-controller are used. The identification problem is solved with the calculation of the feedback coefficient of the PI-controller that ensures the stability of the scalar loop of suppression of the vertical plasma instability. Results of the numerical simulation of the cascade control system, which is based on the multiloop linear object model with the high dimensionality, using the database of the thermonuclear experimental reactor are given.