On the approximation of distributed-delay control laws

This note studies lumped-delay approximations of distributed-delay control laws. It is shown that approximation problems reported in some recent studies are caused by a brutal combination of poor approximation accuracy in the high-frequency range (a non-strictly proper approximation of a strictly pr...

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Bibliographic Details
Published in:Systems & control letters 2004-04, Vol.51 (5), p.331-342
Main Author: Mirkin, Leonid
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control theory. Systems
Dead-time compensation
Distributed-delay controllers
Exact sciences and technology
Time-delay systems
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Summary:This note studies lumped-delay approximations of distributed-delay control laws. It is shown that approximation problems reported in some recent studies are caused by a brutal combination of poor approximation accuracy in the high-frequency range (a non-strictly proper approximation of a strictly proper transfer function) and excessive sensitivity of the design method to high-frequency additive plant uncertainties. It is also shown that a safe implementation can be achieved by eliminating either of these two factors. Some remedies toward this end are proposed.
ISSN:0167-6911
1872-7956
DOI:10.1016/j.sysconle.2003.09.010