Optimal V-Plane Robust Stabilization Method for Interval Uncertain Fractional Order PID Control Systems

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F70883521%3A28140%2F21%3A63539818" target="_blank" >RIV/70883521:28140/21:63539818 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.3390/fractalfract5010003" target="_blank" >https://doi.org/10.3390/fractalfract5010003</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/fractalfract5010003" target="_blank" >10.3390/fractalfract5010003</a>

Result language

angličtina

Original language name

Optimal V-Plane Robust Stabilization Method for Interval Uncertain Fractional Order PID Control Systems

Original language description

Robust stability is a major concern for real-world control applications. Realization of optimal robust stability requires a stabilization scheme, which ensures that the control system is stable and presents robust performance for a predefined range of system perturbations. This study presented an optimal robust stabilization approach for closed-loop fractional order proportional integral derivative (FOPID) control systems with interval parametric uncertainty and uncertain time delay. This stabilization approach, which is carried out in a v-plane, relies on the placement of the minimum angle system pole to a predefined target angle within the stability region of the first Riemann sheet. For this purpose, tuning of FOPID controller coefficients was performed to minimize a root angle error that is defined as the squared difference of minimum angle root of interval characteristic polynomials and the desired target angle within the stability region of the v-plane. To solve this optimization problem, a particle swarm optimization (PSO) algorithm was implemented. Findings of the study reveal that tuning of the target angle can also be used to improve the robust control performance of interval uncertain FOPID control systems. Illustrative examples demonstrated the effectiveness of the proposed v-domain, optimal, robust stabilization of FOPID control systems.

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

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OECD FORD branch

20205 - Automation and control systems

Project

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Continuities

V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Publication year

2021

Confidentiality

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

Name of the periodical

Fractal and Fractional

ISSN

2504-3110

e-ISSN

—

Volume of the periodical

5

Issue of the periodical within the volume

1

Country of publishing house

CH - SWITZERLAND

Number of pages

21

Pages from-to

1-21

UT code for WoS article

000633062900001

EID of the result in the Scopus database

2-s2.0-85099763193