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H ∞ filtering for singular systems with time‐varying delay
Author(s) -
Wu Zhengguang,
Su Hongye,
Chu Jian
Publication year - 2010
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.1509
Subject(s) - impulse (physics) , bounded function , mathematics , range (aeronautics) , control theory (sociology) , filter (signal processing) , matrix (chemical analysis) , filtering problem , computer science , filter design , mathematical analysis , engineering , control (management) , physics , materials science , quantum mechanics , artificial intelligence , computer vision , aerospace engineering , composite material
This paper is concerned with the delay‐dependent H ∞ filtering problem for singular systems with time‐varying delay in a range. In terms of linear matrix inequality approach, the delay‐range‐dependent bounded real lemmas are proposed, which guarantee the considered system to be regular, impulse free and exponentially stable while satisfying a prescribed H ∞ performance level. The sufficient conditions are proposed for the existence of linear H ∞ filter. Numerical examples are given to demonstrate the effectiveness and the benefits of the proposed methods. Copyright © 2009 John Wiley & Sons, Ltd.
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