Fractional‐order controllers for irrational systems

A.-J.  Guel-Cortez; Cesar-Fernando Mendez-Barrios; Eun-jin  Kim; Mihir Sen

doi:10.1049/cth2.12095

Fractional‐order controllers for irrational systems

A.-J. Guel-Cortez, Cesar-Fernando Mendez-Barrios, Eun-jin Kim, Mihir Sen

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13 Citations (Scopus)

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Abstract

In this contribution, fractional-order controllers of the type PD ^μ and PI ^λ are applied to a class of irrational transfer function models that appear in large-scale systems, such as networks of mechanical/electrical elements and distributed parameter systems. More precisely, by considering the fractional-order controller (Formula presented.) in the Laplace domain with (Formula presented.), a stability analysis in the parameter-space (Formula presented.) is presented. Furthermore, as a way to measure the controller robustness, the controller's fragility analysis using the parameter-space (Formula presented.) is derived. Finally, several applications that demonstrate the utility of our results are included.

Original language	English
Pages (from-to)	965-977
Number of pages	13
Journal	IET Control Theory and Applications
Volume	15
Issue number	7
Early online date	5 Feb 2021
DOIs	https://doi.org/10.1049/cth2.12095
Publication status	Published - 30 Apr 2021

Bibliographical note

© 2021 The Authors. IET Control Theory & Applications published by John Wiley & Sons Ltd on behalf of The Institution of Engineering and Technology

This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

Funder

Guel-Cortez was supported by the Centre for Fluid and Complex Systems department of Coventry University. The research of M?ndez-Barrios has been supported by CONACyT-Mexico. E. Kim acknowledges the Leverhulme Trust Research Fellowship (RF- 2018-142-9). Funding Information: The work of Guel‐Cortez was supported by the Centre for Fluid and Complex Systems department of Coventry University. The research of Méndez‐Barrios has been supported by CONACyT‐Mexico. E. Kim acknowledges the Leverhulme Trust Research Fellowship (RF‐ 2018‐142‐9).

ASJC Scopus subject areas

Control and Systems Engineering
Human-Computer Interaction
Computer Science Applications
Control and Optimization
Electrical and Electronic Engineering

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10.1049/cth2.12095Licence: CC BY

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Cite this

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AB - In this contribution, fractional-order controllers of the type PD μ and PI λ are applied to a class of irrational transfer function models that appear in large-scale systems, such as networks of mechanical/electrical elements and distributed parameter systems. More precisely, by considering the fractional-order controller (Formula presented.) in the Laplace domain with (Formula presented.), a stability analysis in the parameter-space (Formula presented.) is presented. Furthermore, as a way to measure the controller robustness, the controller's fragility analysis using the parameter-space (Formula presented.) is derived. Finally, several applications that demonstrate the utility of our results are included.

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Fractional‐order controllers for irrational systems

Abstract

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