Noninvertible Digital Transfer Functions Arising From Minimum Phase Analog Process Models

[+] Author and Article Information
C. P. Neuman

Carnegie Institute of Technology, Carnegie-Mellon University, Pittsburgh, Pa. 15213

R. L. Morris

Department of Mechanical Engineering, Carnegie Institute of Technology, Carnegie-Mellon University, Pittsburgh, Pa. 15213

J. Dyn. Sys., Meas., Control 105(1), 46-48 (Mar 01, 1983) (3 pages) doi:10.1115/1.3139727 History: Received March 03, 1982; Online July 21, 2009


Current approaches to discrete model reference adaptive control (MRAC) [1–6] require the inverse of the discretized process model to achieve the desired model following. The objective of this paper is to illustrate that the step-invariant transformation of a minimum phase, physical analog process model (based upon a machine tool position controller) leads to a nonminimum phase discrete-time model and thus precludes the possibility of obtaining a stable inverse for the discrete-time process model. This example illustrates the shortcomings of applying discrete MRAC to higher-order processes and indicates the need for alternative MRAC approaches which do not require the adaptive cancellation of process zeros.

Copyright © 1983 by ASME
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