PARAMETRIZATION OF MINIMUM-TIME OUTPUT DEADBEAT CONTROLLERS FOR ALL CLASSES OF INVERTIBLE SYSTEMS

This paper considers the problem of parametrizing (through the minimum number of parameters) the minimum-time output deadbeat controller (MTODC) for a given linear multivariable output-controllable system S(A, B, C, E) having n states, m inputs, p outputs and a transfer function matrix H(z) of full rank r. The main result is a new compact linear parametric form for a class of MTODC that zeros the outputs of the system S in the minimum number of control iterations µ(I), where µ(i), j = 1,2,…, r (assumed to be decreasingly ordered) are equal to the negatives of the right factorization indices at infinity of H(z). The principal benefits of this explicit parameterization of MTODCs lie in the ability to accommodate directly various different design criteria. © 1990 Taylor & Francis Ltd.