Noninvertible Digital Transfer Functions Arising From Minimum Phase Analog Process Models

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 mo...

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Bibliographic Details
Published in:Journal of dynamic systems, measurement, and control measurement, and control, 1983-03, Vol.105 (1), p.46-48
Main Authors: Neuman, C. P, Morris, R. L
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control theory. Systems
Exact sciences and technology
System theory
Online Access:Get full text
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Summary: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.
ISSN:0022-0434
1528-9028
DOI:10.1115/1.3139727