Sliding Mode Control Based on a Generalized Reduced Fractional Order Model: Theoretical Approach

Antonio Di Teodoro; Diego Ochoa-Tocachi; Hanna Aboukheir; Oscar Camacho

doi:10.1007/978-3-031-26361-3_5

Sliding Mode Control Based on a Generalized Reduced Fractional Order Model: Theoretical Approach

Antonio Di Teodoro
, Diego Ochoa-Tocachi
, Hanna Aboukheir
, Oscar Camacho^*

^*Corresponding author for this work

ATUK Consultoría Estratégica

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

1 Scopus citations

Abstract

This work proposes a fractional sliding mode controller designed from a fractional FOPDT model of the real process. The new approach can be applied to nonlinear chemical processes. The controller design uses the power of Fractional Order Calculus to describe and represent the real chemical systems as a reduced order model and from it apply the sliding mode control procedure to develop the controller.

Original language	English
Title of host publication	Studies in Systems, Decision and Control
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	47-58
Number of pages	12
DOIs	https://doi.org/10.1007/978-3-031-26361-3_5
State	Published - 10 May 2023

Publication series

Name	Studies in Systems, Decision and Control
Volume	464
ISSN (Print)	2198-4182
ISSN (Electronic)	2198-4190

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10.1007/978-3-031-26361-3_5

Cite this

Di Teodoro, A., Ochoa-Tocachi, D., Aboukheir, H., & Camacho, O. (2023). Sliding Mode Control Based on a Generalized Reduced Fractional Order Model: Theoretical Approach. In Studies in Systems, Decision and Control (pp. 47-58). (Studies in Systems, Decision and Control; Vol. 464). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-031-26361-3_5

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Di Teodoro, A, Ochoa-Tocachi, D, Aboukheir, H & Camacho, O 2023, Sliding Mode Control Based on a Generalized Reduced Fractional Order Model: Theoretical Approach. in Studies in Systems, Decision and Control. Studies in Systems, Decision and Control, vol. 464, Springer Science and Business Media Deutschland GmbH, pp. 47-58. https://doi.org/10.1007/978-3-031-26361-3_5

Sliding Mode Control Based on a Generalized Reduced Fractional Order Model: Theoretical Approach. / Di Teodoro, Antonio; Ochoa-Tocachi, Diego; Aboukheir, Hanna et al.
Studies in Systems, Decision and Control. Springer Science and Business Media Deutschland GmbH, 2023. p. 47-58 (Studies in Systems, Decision and Control; Vol. 464).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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T1 - Sliding Mode Control Based on a Generalized Reduced Fractional Order Model

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AU - Aboukheir, Hanna

AU - Camacho, Oscar

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AB - This work proposes a fractional sliding mode controller designed from a fractional FOPDT model of the real process. The new approach can be applied to nonlinear chemical processes. The controller design uses the power of Fractional Order Calculus to describe and represent the real chemical systems as a reduced order model and from it apply the sliding mode control procedure to develop the controller.

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Sliding Mode Control Based on a Generalized Reduced Fractional Order Model: Theoretical Approach

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