Sufficient conditions for domain stabilisability of uncertain fractional-order systems under static-output feedbacks

Salim Ibrir*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

Extended linear matrix inequality (LMI) conditions, ensuring the stability of commensurate fractional-order linear systems by static-output feedbacks, are given. It is assumed that the system uncertainties are constant and possibly present in all the system matrices. The stabilising static-output feedback is conceived to overcome the system uncertainty and place the poles of the closed-loop system in a well-defined domain that is formed by the intersection of many regions in the complex plane. The control design is formulated as the solution of a set of linear matrix inequality conditions. The validity of the obtained results is testified through an example of a fractional-order system with polytopic uncertainties.

Original languageEnglish
Pages (from-to)2004-2011
Number of pages8
JournalIET Control Theory and Applications
Volume11
Issue number12
DOIs
StatePublished - 11 Aug 2017

Bibliographical note

Publisher Copyright:
© The Institution of Engineering and Technology 2017.

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Human-Computer Interaction
  • Computer Science Applications
  • Control and Optimization
  • Electrical and Electronic Engineering

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