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On the stability radius of control systems with interval plants and first‐order controllers
Author(s) -
Wu Qinghe
Publication year - 2000
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/1099-1239(200008)10:10<763::aid-rnc510>3.0.co;2-y
Subject(s) - eigenvalues and eigenvectors , interval (graph theory) , radius , control theory (sociology) , controller (irrigation) , stability (learning theory) , spectral radius , order (exchange) , mathematics , control (management) , computer science , physics , combinatorics , computer security , finance , artificial intelligence , machine learning , economics , quantum mechanics , agronomy , biology
Abstract This paper considers the stability radius problem of control systems with interval plants and first‐order controllers. The nominal plant P 0 ( s ) used for the controller design is the centre of the interval plant. Under the condition that a lead controller C ( s ) stabilizes P 0 ( s ), the stability radius of the closed‐loop system is determined in terms of the eigenvalues of four frequency‐independent matrices of the form H −1 β, i H γ , i , where both H β , i and H γ , i are Hurwitz‐like matrices. Copyright © 2000 John Wiley & Sons, Ltd.