Observer-based control of fractional-order linear systems with norm-bounded uncertainties: New convex-optimization conditions

S. Ibrir; M. Bettayeb

doi:10.3182/20140824-6-za-1003.02259

Observer-based control of fractional-order linear systems with norm-bounded uncertainties: New convex-optimization conditions

S. Ibrir
, M. Bettayeb

King Fahd University of Petroleum & Minerals

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

6 Scopus citations

Abstract

New sufficient linear-matrix-inequality conditions are provided to ensure the stability of a class of fractional-order systems by means of asymptotic observer-based feedbacks. It is shown that the search of the observer and the controller gains can be obtained by decoupling the necessary matrix inequalities that involve coupled gains. The obtained numerically tractable conditions are formulated as a set of strict linear matrix inequalities and compared to other sufficient conditions with equality constraints. Numerical computations are provided to show the straightforwardness and the efficiency of the proposed control designs.

Original language	English
Title of host publication	19th IFAC World Congress IFAC 2014, Proceedings
Editors	Edward Boje, Xiaohua Xia
Publisher	IFAC Secretariat
Pages	2903-2908
Number of pages	6
ISBN (Electronic)	9783902823625
DOIs	https://doi.org/10.3182/20140824-6-za-1003.02259
State	Published - 2014

Publication series

Name	IFAC Proceedings Volumes (IFAC-PapersOnline)
Volume	19
ISSN (Print)	1474-6670

Bibliographical note

Publisher Copyright:
© IFAC.

Keywords

Fractional order systems
Linear matrix inequalities
Observer-based control
Stability

ASJC Scopus subject areas

Control and Systems Engineering

Access to Document

10.3182/20140824-6-za-1003.02259

Cite this

Ibrir, S., & Bettayeb, M. (2014). Observer-based control of fractional-order linear systems with norm-bounded uncertainties: New convex-optimization conditions. In E. Boje, & X. Xia (Eds.), 19th IFAC World Congress IFAC 2014, Proceedings (pp. 2903-2908). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 19). IFAC Secretariat. https://doi.org/10.3182/20140824-6-za-1003.02259

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Observer-based control of fractional-order linear systems with norm-bounded uncertainties: New convex-optimization conditions. / Ibrir, S.; Bettayeb, M.
19th IFAC World Congress IFAC 2014, Proceedings. ed. / Edward Boje; Xiaohua Xia. IFAC Secretariat, 2014. p. 2903-2908 (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 19).

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

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Observer-based control of fractional-order linear systems with norm-bounded uncertainties: New convex-optimization conditions

Abstract

Publication series

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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Cite this