Underdetermined multivariable Dead-Beat Controller

With respect to a fast filter control, this paper shows the mathematical theory and implementation of a Dead-Bead-Controller. This Controller is examplarily applied to an inverter and dimensioned for a filter to recreate a 50kW grid. Possessing two plant outputs in the output filter due to two reactive elements, this controller is able to control both with a single control signal. It is shown how to rescale the number of controller-intput- to a given number of controller-output-signals. This is easily adaptable to any input and output vector with this given example.