On the Numerical Determination of Stability Regions in the Delay Space via Dominant Pole Estimation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F70883521%3A28140%2F19%3A63522747" target="_blank" >RIV/70883521:28140/19:63522747 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/B9780128149287000019" target="_blank" >https://www.sciencedirect.com/science/article/pii/B9780128149287000019</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/B978-0-12-814928-7.00001-9" target="_blank" >10.1016/B978-0-12-814928-7.00001-9</a>
Alternative languages
Result language
angličtina
Original language name
On the Numerical Determination of Stability Regions in the Delay Space via Dominant Pole Estimation
Original language description
This contribution intends to provide the reader with the presentation of a numerical gridding iterative algorithm to determine all stability regions within the prescribed area of the delay space. In every single grid node, the iterative estimation of the rightmost pole is computed based on the polynomial approximation of the characteristic quasipolynomial, by utilizing the knowledge of the dominant pole estimation in the nearest grid node. The polynomial approximation is made via the Taylor series based expansion in the vicinity of the closest dominant poles estimation, and by using the bilinear transformation followed with pre-warping for a discrete-time approximation. Exponential terms are subjected to a quadratic extrapolation method to get commensurate delays. Two-step Newton’s iteration method with averaging is used to detect imaginary axis crossings. Neutral delay case is concisely discussed as well. Two numerical examples demonstrate the accuracy and efficiency of the algorithm. Possible future directions of this research and algorithm modifications are proposed and discussed in brief as well.
Czech name
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Czech description
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Classification
Type
C - Chapter in a specialist book
CEP classification
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OECD FORD branch
20205 - Automation and control systems
Result continuities
Project
<a href="/en/project/LO1303" target="_blank" >LO1303: Promoting sustainability and development of the Centre for 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
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Book/collection name
Stability, Control and Application of Time-Delay Systems
ISBN
978-0-12-814928-7
Number of pages of the result
22
Pages from-to
1-22
Number of pages of the book
470
Publisher name
Elsevier
Place of publication
Philadelphia
UT code for WoS chapter
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