On feedback stabilization of neutral time delay systems with infinitely many unstable poles
Date
2018Source Title
IFAC-PapersOnLine
Print ISSN
2405-8963
Publisher
Elsevier B.V.
Volume
51
Issue
14
Pages
118 - 123
Language
English
Type
ArticleItem Usage Stats
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Abstract
It is shown that strictly proper neutral time delay systems having at least one asymptotic pole chain converging to a vertical line Re(s) = σ > 0 cannot be stabilized by a proper controller. A special coprime factorization can be obtained for such systems with infinitely many unstable poles, provided they are bi-proper (i.e. proper, but not strictly proper). From this factorization, stabilizing feedback controllers are obtained. Necessarily, all stabilizing controllers for this type of plants are also bi-proper.
Keywords
Coprime factorizationFactorization methods
Feedback stabilization
Time delay
Unstable systems