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Exponential H ∞ filtering for switched linear systems with interval time‐varying delay
Author(s) -
Wang Dong,
Wang Wei,
Shi Peng
Publication year - 2008
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.1334
Subject(s) - dwell time , control theory (sociology) , parameterized complexity , mathematics , filter (signal processing) , bounded function , weighting , constant (computer programming) , filtering problem , interval (graph theory) , differentiable function , matrix (chemical analysis) , linear system , filter design , computer science , algorithm , mathematical analysis , combinatorics , control (management) , medicine , clinical psychology , materials science , artificial intelligence , composite material , computer vision , radiology , programming language
This paper deals with the problem of exponential H ∞ filtering for a class of continuous‐time switched linear system with interval time‐varying delay. The time delay under consideration includes two cases: one is that the time delay is differentiable and bounded with a constant delay‐derivative bound, whereas the other is that the time delay is continuous and bounded. Switched linear filters are designed to ensure that the filtering error systems under switching signal with average dwell time are exponentially stable with a prescribed H ∞ noise attenuation level. Based on the free‐weighting matrix approach and the average dwell technology, delay‐dependent sufficient conditions for the existence of such a filter are derived and formulated in terms of linear matrix inequalities (LMIs). By solving that corresponding LMIs, the desired filter parameterized matrices and the minimal average dwell time are obtained. Finally, two numerical examples are presented to demonstrate the effectiveness of the developed results. Copyright © 2008 John Wiley & Sons, Ltd.