On the optimal pole assignment for time-delay systems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F70883521%3A28140%2F13%3A43869745" target="_blank" >RIV/70883521:28140/13:43869745 - isvavai.cz</a>
Result on the web
<a href="http://www.naun.org/multimedia/NAUN/ijmmas/16-603.pdf" target="_blank" >http://www.naun.org/multimedia/NAUN/ijmmas/16-603.pdf</a>
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
On the optimal pole assignment for time-delay systems
Original language description
The well-known fact about linear time-invariant time-delay systems (LTI-TDS) is that these systems have an infinite spectrum. Not only plants themselves but also the whole control feedbacks then have this undesirable feature in most cases. The aim of this contribution is to present algebraic controller design in a special ring of proper and stable meromorphic functions followed by an optimal pole assignment minimizing the spectral abscissa. The main problem is how to place feedback poles to the prescribed positions exactly by a finite number of free (controller) parameters. Clearly, it is not possible to place all poles but the idea is to push the rightmost ones as left as possible, which gives rise to the task of the spectral abscissa minimization. The spectral abscissa is a nonsmooth nonconvex function of free controller parameters in general. Moreover, there is a problem of its sensitivity to infinitesimally small delay changes. Four advanced iterative algorithms; namely, Quasi-Cont
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BC - Theory and management systems
OECD FORD branch
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Result continuities
Project
<a href="/en/project/ED2.1.00%2F03.0089" target="_blank" >ED2.1.00/03.0089: The Centre of Security, Information and Advanced Technologies (CEBIA-Tech)</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
International Journal of Mathematical Models and Methods in Applied Science
ISSN
1998-0140
e-ISSN
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Volume of the periodical
7
Issue of the periodical within the volume
1
Country of publishing house
GB - UNITED KINGDOM
Number of pages
12
Pages from-to
63-74
UT code for WoS article
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EID of the result in the Scopus database
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