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

Salim Ibrir

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations


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 languageEnglish (US)
Title of host publicationIFAC-PapersOnLine
PublisherElsevier BV
Number of pages6
StatePublished - Apr 14 2021
Externally publishedYes


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