Publication detail

Optimal approximation of analog PID controllers of complex fractional-order

MAHATA, S. HERENCSÁR, N. MAIONE, G.

Original Title

Optimal approximation of analog PID controllers of complex fractional-order

Type

journal article in Web of Science

Language

English

Original Abstract

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.

Keywords

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

Authors

MAHATA, S.; HERENCSÁR, N.; MAIONE, G.

Released

19. 5. 2023

Publisher

Springer Nature

Location

LONDON

ISBN

1311-0454

Periodical

Fractional Calculus and Applied Analysis

Year of study

26

Number

4

State

Republic of Bulgaria

Pages from

1566

Pages to

1593

Pages count

28

URL

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

Full text in the Digital Library

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"
}

Documents

s13540-023-00168-x.pdf