Open AccessSufficient conditions for domain stabilisability of uncertain fractional‐order systems under static‐output feedbacks
Author(s) -
Ibrir Salim
Publication year - 2017
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2016.0476
Subject(s) - control theory (sociology) , intersection (aeronautics) , linear matrix inequality , mathematics , domain (mathematical analysis) , stability (learning theory) , matrix (chemical analysis) , linear system , constant (computer programming) , set (abstract data type) , plane (geometry) , fractional order system , order (exchange) , output feedback , control (management) , mathematical optimization , mathematical analysis , computer science , fractional calculus , engineering , geometry , finance , artificial intelligence , economics , materials science , machine learning , composite material , programming language , aerospace engineering
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.