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Delay‐range‐dependent bounded real lemma for time‐delay systems
Author(s) -
Li Tao,
Guo Lei,
Lin Chong,
Zhang Yuming
Publication year - 2008
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.71
Subject(s) - bounded function , lemma (botany) , range (aeronautics) , mathematics , control theory (sociology) , linear matrix inequality , upper and lower bounds , term (time) , computer science , control (management) , mathematical analysis , mathematical optimization , engineering , physics , ecology , poaceae , quantum mechanics , artificial intelligence , biology , aerospace engineering
In this paper, Bounded Real Lemma (BRL) for linear systems with time‐varying delay in a range is described. Unlike previous results, the low bound of the range is not restricted to be 0. Based on a new Lyapunov‐Krasovskii functional, a delay‐range‐dependent BRL is obtained in term of linear matrix inequality. It is shown that this new BRL can provide less conservative results than some existing ones. When time‐varying linear fractional form uncertainties appear in the delay system, a robust delay‐range‐dependent BRL is also given. Numerical examples are given to demonstrate the applicability of the proposed approach. Copyright © 2008 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society