Abstract
The problems of a follow up control of system output to the reference generated by an external signal model, or an output regulation under the disturbance generated by such as model, can be treated with an augmented state space model that consists of the plant and the external signal model.
This paper considers the solution of a dead beat output regulator problem of a linear time-invariant discrete-time system of which state space is one of such as the augmented. The main conclusions are described in Theorem 2. Those are, the solvability conditions and the solutions of such problem are strongly connected with the results for the problem of the dead beat output regulation of the plant to zero reference, however there are nonzero reference or nonzero disturbance.
