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^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Conference article › peer-review

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
Pages (from-to)	3638-3643
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	53
DOIs	https://doi.org/10.1016/j.ifacol.2020.12.2045
State	Published - 2020

Bibliographical note

Publisher Copyright:
Copyright © 2020 The Authors. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0)

Keywords

Fractional uncertain systems
H control
Stability and stabilizability
Static-output feedback

ASJC Scopus subject areas

Control and Systems Engineering

Access to Document

10.1016/j.ifacol.2020.12.2045

Cite this

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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.",

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

AU - Ibrir, Salim

PY - 2020

Y1 - 2020

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.

KW - Fractional uncertain systems

KW - H control

KW - Stability and stabilizability

KW - Static-output feedback

UR - https://www.scopus.com/pages/publications/85107548910

U2 - 10.1016/j.ifacol.2020.12.2045

DO - 10.1016/j.ifacol.2020.12.2045

M3 - Conference article

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VL - 53

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EP - 3643

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

ER -