Stabilization of a delayed system by a proportional controller

Result code in IS VaVaI
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Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Stabilization of a delayed system by a proportional controller
Original language description
Time-delay systems have been intensively studied for decades. Stability is one of the most important system dynamics properties and the task of stabilization is the main step of controller design. Closed loop characteristic equations of systems with input-output or internal delays contain quasipolynomials rather then polynomials. System poles determined by the solution of such equation have (in most cases) as the same meaning as for delay-free systems, thus they decide about system stability. The aim ofthis paper is to stabilize a selected system with internal delay by a proportional controller. The task can be equivalently formulated as a stabilization of a system with input-output delay. The analysis and derivations are based on the argument principle, i.e. on the Mikhaylov criterion, and on the required shape of the Mikhaylov plot. The analogy with the notions of the Nyquist criterion and the sensitivity function is also presented. Stability bounds for the controller parameter are
Czech name
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Czech description
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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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Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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
4
Issue of the periodical within the volume
4
Country of publishing house
GB - UNITED KINGDOM
Number of pages
9
Pages from-to
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UT code for WoS article
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EID of the result in the Scopus database
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