General form of state deadbeat controllers with computation lag.

Abstract

This paper discusses a general form of a state deadbeat controller with computation lag for a discrete-time, linear, time-invariant system. The state deadbeat controller with computation lag is transformed to the state deadbeat controller for the augmented system, The controllability indices of the augmented system are obtained, and all possible nilpotent Jordan matrices which are similar to the feedback system matrix of the augmented system are derived. Then. the general form of the state deadbeat controller with computation lag is obtained. Similarly, a general form is obtained for the prediction-type state deadbeat controller which is the special case of the state deadbeat controller with computation lag.