On the dynamic-output feedback control of uncertain fractional-order linear systems

Salim Ibrir

doi:10.1109/ECC.2016.7810633

On the dynamic-output feedback control of uncertain fractional-order linear systems

Salim Ibrir^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

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

1 Scopus citations

Abstract

Sufficient inequality conditions are proposed for observer-based control of commensurate-type fractional-order systems with bounded uncertainties. The original bilinear matrix inequality (BMI) conditions ensuring the stability of the closed-loop systems are transformed into a set of conditions that are numerically tractable. The sufficient conditions of stability by the dynamic-output feedback are decoupled into separate inequality conditions where the observer and the controller gains are seen as decoupled variables. The proposed conditions are neither iterative nor subjected to equality constraints. The paper is enhanced by a numerical example that demonstrates the applicability and the efficacy of the results.

Original language	English
Title of host publication	2016 European Control Conference, ECC 2016
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2294-2299
Number of pages	6
ISBN (Electronic)	9781509025916
DOIs	https://doi.org/10.1109/ECC.2016.7810633
State	Published - 2016

Publication series

Name	2016 European Control Conference, ECC 2016

Bibliographical note

Publisher Copyright:
© 2016 EUCA.

ASJC Scopus subject areas

Control and Systems Engineering
Control and Optimization

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10.1109/ECC.2016.7810633

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title = "On the dynamic-output feedback control of uncertain fractional-order linear systems",

abstract = "Sufficient inequality conditions are proposed for observer-based control of commensurate-type fractional-order systems with bounded uncertainties. The original bilinear matrix inequality (BMI) conditions ensuring the stability of the closed-loop systems are transformed into a set of conditions that are numerically tractable. The sufficient conditions of stability by the dynamic-output feedback are decoupled into separate inequality conditions where the observer and the controller gains are seen as decoupled variables. The proposed conditions are neither iterative nor subjected to equality constraints. The paper is enhanced by a numerical example that demonstrates the applicability and the efficacy of the results.",

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On the dynamic-output feedback control of uncertain fractional-order linear systems. / Ibrir, Salim.
2016 European Control Conference, ECC 2016. Institute of Electrical and Electronics Engineers Inc., 2016. p. 2294-2299 7810633 (2016 European Control Conference, ECC 2016).

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

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N2 - Sufficient inequality conditions are proposed for observer-based control of commensurate-type fractional-order systems with bounded uncertainties. The original bilinear matrix inequality (BMI) conditions ensuring the stability of the closed-loop systems are transformed into a set of conditions that are numerically tractable. The sufficient conditions of stability by the dynamic-output feedback are decoupled into separate inequality conditions where the observer and the controller gains are seen as decoupled variables. The proposed conditions are neither iterative nor subjected to equality constraints. The paper is enhanced by a numerical example that demonstrates the applicability and the efficacy of the results.

AB - Sufficient inequality conditions are proposed for observer-based control of commensurate-type fractional-order systems with bounded uncertainties. The original bilinear matrix inequality (BMI) conditions ensuring the stability of the closed-loop systems are transformed into a set of conditions that are numerically tractable. The sufficient conditions of stability by the dynamic-output feedback are decoupled into separate inequality conditions where the observer and the controller gains are seen as decoupled variables. The proposed conditions are neither iterative nor subjected to equality constraints. The paper is enhanced by a numerical example that demonstrates the applicability and the efficacy of the results.

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EP - 2299

BT - 2016 European Control Conference, ECC 2016

PB - Institute of Electrical and Electronics Engineers Inc.

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On the dynamic-output feedback control of uncertain fractional-order linear systems

Abstract

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