An examination of complex fractional order physical phenomena in IOPD controller design

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F70883521%3A28140%2F23%3A63570618" target="_blank" >RIV/70883521:28140/23:63570618 - isvavai.cz</a>

Result on the web

<a href="https://onlinelibrary.wiley.com/doi/epdf/10.1002/mma.9362" target="_blank" >https://onlinelibrary.wiley.com/doi/epdf/10.1002/mma.9362</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/mma.9362" target="_blank" >10.1002/mma.9362</a>

Result language

angličtina

Original language name

An examination of complex fractional order physical phenomena in IOPD controller design

Original language description

This research focuses on the fractional complex order plant (FCOP). The significant contribution is the role of complex plant models in system stability and robustness and associated physical phenomena. A general transfer function is studied in the paper. Other plant models may be built with this structure since the FCOP is a general mathematical form covering integer order plant (IOP) and fractional order plant (FOP). Using the equations produced with the proposed technique and the recommended integer order proportional derivative (IOPD controller, physical changes in integer, fractional and complex coefficients, and orders are observed within this paper. Analysis of the plant controlled with an IOPD controller is done by applying an integrator to reveal the differences. The effects of the parameters are discussed together with the visuals, supported by simulations. The aim is to tune the controller parameters to achieve the phase and specifications as the researcher desired. It is observed that the integrator greatly takes part in reducing the steady-state error. The IOP with the integrator showed the lowest steady-state error, and also, the settling and overshoot time were enhanced. Increase in the phase margin also caused an increase in the phase crossover frequency. It is also observed that the fractional order affected the phase crossover frequency comparing with the IOP, and the complex order modification also had an effect comparing to the fractional order version. The complex order of the system is considered with its conjugate components in the imaginary part thus, the results are found separately for each case. © 2023 John Wiley &amp; Sons Ltd.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

20205 - Automation and control systems

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2023

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Mathematical Methods in the Applied Sciences

ISSN

0170-4214

e-ISSN

1099-1476

Volume of the periodical

46

Issue of the periodical within the volume

14

Country of publishing house

GB - UNITED KINGDOM

Number of pages

21

Pages from-to

"15073 "- 15093

UT code for WoS article

000988390600001

EID of the result in the Scopus database

2-s2.0-85159392595