abstract

• In this contribution, fractional-order controllers of the type PDμ and PIλ 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%27s fragility analysis using the parameter-space (Formula presented.) is derived. Finally, several applications that demonstrate the utility of our results are included. © 2021 The Authors. IET Control Theory %26 Applications published by John Wiley %26 Sons Ltd on behalf of The Institution of Engineering and Technology
• In this contribution, fractional-order controllers of the type PDμ and PIλ 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%27s fragility analysis using the parameter-space (Formula presented.) is derived. Finally, several applications that demonstrate the utility of our results are included. © 2021 The Authors. IET Control Theory & Applications published by John Wiley & Sons Ltd on behalf of The Institution of Engineering and Technology
• In this contribution, fractional-order controllers of the type PDμ and PIλ 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. © 2021 The Authors. IET Control Theory %26 Applications published by John Wiley %26 Sons Ltd on behalf of The Institution of Engineering and Technology

authors

• Guel-Cortez A.J.
• Méndez Barrios César Fernando Francisco
• Sen M.

publication date

• 2021-01-01

funding provided via

• Leverhulme Trust: RF‐ 2018‐142‐9  Grant

published in

• IET Control Theory and Applications  Journal

keywords

• Controllers; Large scale systems; A-stability; Controller robustness; Distributed parameter systems; Fractional-order controllers; Fragility analysis; Irrational transfer functions; Laplace domains; Parameter spaces; Distributed parameter control systems

Digital Object Identifier (DOI)

• 10.1049/cth2.12095

PubMed ID

start page

• 965

end page

• 977

volume

• 15

issue

• 7