Optimal approximation of analog PID controllers of complex fractional-order
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F23%3APU148148" target="_blank" >RIV/00216305:26220/23:PU148148 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s13540-023-00168-x" target="_blank" >https://link.springer.com/article/10.1007/s13540-023-00168-x</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s13540-023-00168-x" target="_blank" >10.1007/s13540-023-00168-x</a>
Alternative languages
Result language
angličtina
Original language name
Optimal approximation of analog PID controllers of complex fractional-order
Original language description
Complex fractional-order (CFO) transfer functions, being more generalized versions of their real-order counterparts, lend greater flexibility to system modeling. Due to the absence of commercial complex-order fractance elements, the implementation of CFO models is challenging. To alleviate this issue, a constrained optimization approach that meets the targeted frequency responses is proposed for the rational approximation of CFO systems. The technique generates stable, {minimum-phase, and real-valued coefficients based approximants}, which are not always feasible for the curve-fitting approach reported in the literature. {Stability and performance studies of the CFO proportional-integral-derivative (CFOPID) controllers for the Podlubny's, the internal model control, and the El-Khazali's forms are considered to demonstrate the feasibility of the proposed technique}. Simulation results highlight that, for a practically reasonable order, all the designs achieve good agreement with the theoretical characteristics. {Performance comparisons with the CFOPID controller approximants determined by the Oustaloup's CFO differentiator based substitution method justify the proposed approach.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Fractional Calculus and Applied Analysis
ISSN
1311-0454
e-ISSN
1314-2224
Volume of the periodical
26
Issue of the periodical within the volume
4
Country of publishing house
BG - BULGARIA
Number of pages
28
Pages from-to
1566-1593
UT code for WoS article
001033237600001
EID of the result in the Scopus database
2-s2.0-85160589306