New LMI conditions for stability and stabilizability of fractional-order systems with H∞ performance

Salim Ibrir

doi:10.1109/ICCA.2019.8899474

New LMI conditions for stability and stabilizability of fractional-order systems with H_∞ performance

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

New extended Linear Matrix Inequality (LMI) conditions for H{infty} control analysis and synthesis of fractional-order systems of commensurate type are developed. The first condition is mainly devoted to fractional-order systems with non-integer-differentiation order α in[1, 2[while the second LMI condition concerns the case where the differentiation order α in] 0, 1[For each independent case, the newly developed condition appears as a unique inequality that ensures the stability of the system with a H{infty} bound parameterized as an LMI variable. The proposed LMI conditions are found quite useful for H{infty} control with static state feedbacks and static-output feedbacks as well.

Original language	English
Title of host publication	2019 IEEE 15th International Conference on Control and Automation, ICCA 2019
Publisher	IEEE Computer Society
Pages	952-957
Number of pages	6
ISBN (Electronic)	9781728111643
DOIs	https://doi.org/10.1109/ICCA.2019.8899474
State	Published - Jul 2019

Publication series

Name	IEEE International Conference on Control and Automation, ICCA
Volume	2019-July
ISSN (Print)	1948-3449
ISSN (Electronic)	1948-3457

Bibliographical note

Publisher Copyright:
© 2019 IEEE.

ASJC Scopus subject areas

Artificial Intelligence
Computer Science Applications
Control and Systems Engineering
Electrical and Electronic Engineering
Industrial and Manufacturing Engineering

Access to Document

10.1109/ICCA.2019.8899474

Cite this

Ibrir, S. (2019). New LMI conditions for stability and stabilizability of fractional-order systems with H_∞ performance. In 2019 IEEE 15th International Conference on Control and Automation, ICCA 2019 (pp. 952-957). Article 8899474 (IEEE International Conference on Control and Automation, ICCA; Vol. 2019-July). IEEE Computer Society. https://doi.org/10.1109/ICCA.2019.8899474

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abstract = "New extended Linear Matrix Inequality (LMI) conditions for H\{infty\} control analysis and synthesis of fractional-order systems of commensurate type are developed. The first condition is mainly devoted to fractional-order systems with non-integer-differentiation order α in[1, 2[while the second LMI condition concerns the case where the differentiation order α in] 0, 1[For each independent case, the newly developed condition appears as a unique inequality that ensures the stability of the system with a H\{infty\} bound parameterized as an LMI variable. The proposed LMI conditions are found quite useful for H\{infty\} control with static state feedbacks and static-output feedbacks as well.",

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New LMI conditions for stability and stabilizability of fractional-order systems with H_∞ performance. / Ibrir, Salim.
2019 IEEE 15th International Conference on Control and Automation, ICCA 2019. IEEE Computer Society, 2019. p. 952-957 8899474 (IEEE International Conference on Control and Automation, ICCA; Vol. 2019-July).

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

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