Detail publikace

Optimal approximation of analog PID controllers of complex fractional-order

MAHATA, S. HERENCSÁR, N. MAIONE, G.

Originální název

Optimal approximation of analog PID controllers of complex fractional-order

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

complex fractional-order system (primary); complex fractional-order PID controller; approximation; constrained optimization; differential evolution

Autoři

MAHATA, S.; HERENCSÁR, N.; MAIONE, G.

Vydáno

19. 5. 2023

Nakladatel

Springer Nature

Místo

LONDON

ISSN

1311-0454

Periodikum

Fractional Calculus and Applied Analysis

Ročník

26

Číslo

4

Stát

Bulharská republika

Strany od

1566

Strany do

1593

Strany počet

28

URL

https://link.springer.com/article/10.1007/s13540-023-00168-x

Plný text v Digitální knihovně

http://hdl.handle.net/11012/213640

BibTex

@article{BUT183507,
  author="Shibendu {Mahata} and Norbert {Herencsár} and Guido {Maione}",
  title="Optimal approximation of analog PID controllers of complex fractional-order",
  journal="Fractional Calculus and Applied Analysis",
  year="2023",
  volume="26",
  number="4",
  pages="1566--1593",
  doi="10.1007/s13540-023-00168-x",
  issn="1311-0454",
  url="https://link.springer.com/article/10.1007/s13540-023-00168-x"
}

Dokumenty

s13540-023-00168-x.pdf