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Robust H 2 and H ∞ Filter Design for Continuous‐time Uncertain Linear Fractional Transformation Systems via LMI
Author(s) -
Aeinfar Vahid,
Askari Javad,
Sadeghzadeh Arash
Publication year - 2020
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1868
Subject(s) - linear fractional transformation , benchmark (surveying) , filter (signal processing) , control theory (sociology) , transformation (genetics) , filter design , mathematics , representation (politics) , mathematical optimization , linear system , robust control , computer science , engineering , control system , mathematical analysis , control (management) , artificial intelligence , law , chemistry , biochemistry , geodesy , political science , computer vision , politics , electrical engineering , gene , geography
This paper considers the problem of robust H 2 and H ∞ filter design for uncertain continuous‐time linear systems. Linear fractional transformation (LFT) representation is considered for the uncertainty modeling and by definition of large number of slack variables, extra free dimensions are provided to the H 2 and H ∞ filter design optimization problem, so method presented in this paper expected to be less conservative than the existing methods for the polytopic uncertain systems and its efficiency for filter design is illustrated by means of numerical comparisons with some benchmark examples from the literature.