Deadbeat error control of discrete multivariable systems

The main objective of this paper is to delineate conditions under which deadbeat error control can be achieved between, a plant output and a discrete reference input. signal. All facets of this problem are considered in the linear multivariable case. i.e. when the reference is any non-diminishing signal, whether the plant is truly discrete or a discretized continuous one, and whether the initial conditions are zero or unknown. The results presented can also be used to resolve the case of known, non-zero initial conditions on the state of the plant as well as the compensator.