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Robust absolute stability of Lurie interval control systems
Author(s) -
Liao Xiaoxin,
Chen Zhen,
Xu Fei,
Yu Pei
Publication year - 2007
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/rnc.1186
Subject(s) - interval (graph theory) , bounded function , algebraic number , control theory (sociology) , stability (learning theory) , mathematics , robust control , matrix (chemical analysis) , computer science , control system , control (management) , mathematical analysis , engineering , combinatorics , materials science , artificial intelligence , machine learning , electrical engineering , composite material
This paper considers robust absolute stability of Lurie control systems. Particular attention is given to the systems with parameters having uncertain, but bounded values. Such so‐called Lurie interval control systems have wide applications in practice. In this paper, a number of sufficient and necessary conditions are derived by using the theories of Hurwitz matrix, M matrix and partial variable absolute stability. Moreover, several algebraic sufficient and necessary conditions are provided for the robust absolute stability of Lurie interval control systems. These algebraic conditions are easy to be verified and convenient to be used in applications. Three mathematical examples and a practical engineering problem are presented to show the applicability of theoretical results. Numerical simulation results are also given to verify the analytical predictions. Copyright © 2007 John Wiley & Sons, Ltd.