EXPLICIT CONDITIONS FOR RIPPLE-FREE DEAD-BEAT CONTROL

A generalized and systematic approach to the problem of dead-beat resp onse to polynomial time-domain inputs is presented. Necessary and suff icient conditions for the impulse response coefficients of the system, in the form of a set of linear equations, are derived. For the case o f minimum prototype systems, a formula for the explicit computation of the overall pulse transfer function of the system is deduced and thei r properties are further studied, together with their ability to track complex inputs. It is also presented an analytical study of the syste m's control sequence, which plays an important role for the inter samp le activity of the plant. By eliminating possible oscillations that ma y be present in this sequence, necessary and sufficient conditions for ripple-free dead-beat response are derived.