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Reliable control for a class of uncertain singular systems with interval time‐varying delay
Author(s) -
Lin Jinxing,
Fei Shumin
Publication year - 2011
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.192
Subject(s) - control theory (sociology) , linear matrix inequality , interval (graph theory) , impulse (physics) , actuator , mathematics , lemma (botany) , norm (philosophy) , full state feedback , controller (irrigation) , class (philosophy) , bounded function , computer science , control (management) , mathematical optimization , mathematical analysis , artificial intelligence , ecology , agronomy , physics , poaceae , combinatorics , quantum mechanics , political science , law , biology
This paper is concerned with the reliable controller design problem for a class of singular systems with interval time‐varying delay and norm‐bounded uncertainties. A more practical model of actuator failures than outages is considered. First, by constructing a novel Lyapunov–Krasovskii functional combined with Finsler's Lemma, an improved delay‐range‐dependent stability criterion for the nominal unforced singular time‐delay system is established in terms of linear matrix inequality (LMI). Then, based on this criterion, an LMI condition for the design of a reliable state feedback controller is presented such that, for all parameter uncertainties and actuator failures, the resultant closed‐loop system is regular, impulse‐free and stable. Numerical examples are proposed to illustrate the effectiveness of the proposed method. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society