H∞-synthesis and control of uncertain fractional-order systems of commensurate type

Salim Ibrir

doi:10.1016/j.ifacol.2020.12.2045

H∞-synthesis and control of uncertain fractional-order systems of commensurate type

Salim Ibrir

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

1 Scopus citations

Abstract

New Linear-Matrix-Inequality (LMI) conditions are proposed for H∞ analysis and synthesis of uncertain fractional-order systems where the non-integer order of differentiation belongs to the set ]0 2[. The developed conditions are extended LMI conditions involving additional LMI variables needed for numerical calculation of the feedback gains. The stability conditions are embedded with the necessary H∞ LMI conditions leading to new formulation of the bounded-real-lemma result. The stabilizability conditions with H∞ performance are subsequently derived and tested with static-pseudo-state feedbacks and static-output feedbacks as well.

Original language	English (US)
Title of host publication	IFAC-PapersOnLine
Publisher	Elsevier BV
Pages	3638-3643
Number of pages	6
DOIs	https://doi.org/10.1016/j.ifacol.2020.12.2045
State	Published - Apr 14 2021
Externally published	Yes

Bibliographical note

KAUST Repository Item: Exported on 2022-07-01
Acknowledgements: The author thanks King Fahd University of Petroleum and Minerals for supporting this research and acknowledge the support of King Abdulaziz City for Science and Technology (KACST) Technology Innovation Center (TIC) for Solid-State Lighting (SSL) grant EE002381, which is subawarded to KFUPM, from the primary grant KACST TIC R2-FP-008 awarded to King Abdullah University of Science and Technology (KAUST).
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

Access to Document

10.1016/j.ifacol.2020.12.2045

Cite this

@inproceedings{b6de56de99484cccaa3ba8072a260eec,

title = "H∞-synthesis and control of uncertain fractional-order systems of commensurate type",

abstract = "New Linear-Matrix-Inequality (LMI) conditions are proposed for H∞ analysis and synthesis of uncertain fractional-order systems where the non-integer order of differentiation belongs to the set ]0 2[. The developed conditions are extended LMI conditions involving additional LMI variables needed for numerical calculation of the feedback gains. The stability conditions are embedded with the necessary H∞ LMI conditions leading to new formulation of the bounded-real-lemma result. The stabilizability conditions with H∞ performance are subsequently derived and tested with static-pseudo-state feedbacks and static-output feedbacks as well.",

author = "Salim Ibrir",

note = "KAUST Repository Item: Exported on 2022-07-01 Acknowledgements: The author thanks King Fahd University of Petroleum and Minerals for supporting this research and acknowledge the support of King Abdulaziz City for Science and Technology (KACST) Technology Innovation Center (TIC) for Solid-State Lighting (SSL) grant EE002381, which is subawarded to KFUPM, from the primary grant KACST TIC R2-FP-008 awarded to King Abdullah University of Science and Technology (KAUST). This publication acknowledges KAUST support, but has no KAUST affiliated authors.",

year = "2021",

month = apr,

day = "14",

doi = "10.1016/j.ifacol.2020.12.2045",

language = "English (US)",

pages = "3638--3643",

booktitle = "IFAC-PapersOnLine",

publisher = "Elsevier BV",

}

TY - GEN

T1 - H∞-synthesis and control of uncertain fractional-order systems of commensurate type

AU - Ibrir, Salim

N1 - KAUST Repository Item: Exported on 2022-07-01 Acknowledgements: The author thanks King Fahd University of Petroleum and Minerals for supporting this research and acknowledge the support of King Abdulaziz City for Science and Technology (KACST) Technology Innovation Center (TIC) for Solid-State Lighting (SSL) grant EE002381, which is subawarded to KFUPM, from the primary grant KACST TIC R2-FP-008 awarded to King Abdullah University of Science and Technology (KAUST). This publication acknowledges KAUST support, but has no KAUST affiliated authors.

PY - 2021/4/14

Y1 - 2021/4/14

N2 - New Linear-Matrix-Inequality (LMI) conditions are proposed for H∞ analysis and synthesis of uncertain fractional-order systems where the non-integer order of differentiation belongs to the set ]0 2[. The developed conditions are extended LMI conditions involving additional LMI variables needed for numerical calculation of the feedback gains. The stability conditions are embedded with the necessary H∞ LMI conditions leading to new formulation of the bounded-real-lemma result. The stabilizability conditions with H∞ performance are subsequently derived and tested with static-pseudo-state feedbacks and static-output feedbacks as well.

AB - New Linear-Matrix-Inequality (LMI) conditions are proposed for H∞ analysis and synthesis of uncertain fractional-order systems where the non-integer order of differentiation belongs to the set ]0 2[. The developed conditions are extended LMI conditions involving additional LMI variables needed for numerical calculation of the feedback gains. The stability conditions are embedded with the necessary H∞ LMI conditions leading to new formulation of the bounded-real-lemma result. The stabilizability conditions with H∞ performance are subsequently derived and tested with static-pseudo-state feedbacks and static-output feedbacks as well.

UR - http://hdl.handle.net/10754/679548

UR - https://linkinghub.elsevier.com/retrieve/pii/S2405896320326860

UR - http://www.scopus.com/inward/record.url?scp=85107548910&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2020.12.2045

DO - 10.1016/j.ifacol.2020.12.2045

M3 - Conference contribution

SP - 3638

EP - 3643

BT - IFAC-PapersOnLine

PB - Elsevier BV

ER -

H∞-synthesis and control of uncertain fractional-order systems of commensurate type

Abstract

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this