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A NEW INTEGRAL INEQUALITY APPROACH TO DELAY‐DEPENDENT ROBUST H ∞ CONTROL
Author(s) -
Zhang XianMing,
Wu Min,
Han QingLong,
She JinHua
Publication year - 2006
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 - 10.1111/j.1934-6093.2006.tb00265.x
Subject(s) - bounding overwatch , lemma (botany) , mathematics , linear matrix inequality , robust control , control theory (sociology) , bounded function , matrix (chemical analysis) , control system , control (management) , computer science , mathematical optimization , mathematical analysis , engineering , ecology , materials science , poaceae , artificial intelligence , electrical engineering , composite material , biology
A design method for the robust H ∞ control of an uncertain linear system with a time‐varying state delay is proposed. First, an integral inequality that we recently obtained is employed to establish a new delay‐dependent bounded real lemma for a system with a time‐varying delay. The lemma uses neither a model transformation nor a bounding technique for cross terms. Then, the lemma is used in combination with a matrix decomposition method to derive delay‐dependent conditions for the existence of robust H ∞ control based on linear matrix inequalities. Finally, some numerical examples are given to demonstrate the validity of the method.