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Robust H ∞ filtering for singular time‐delayed systems with uncertain Markovian switching probabilities
Author(s) -
Wang Guoliang,
Xu Shengyuan
Publication year - 2015
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.3091
Subject(s) - bounded function , mathematics , control theory (sociology) , lemma (botany) , filter (signal processing) , markov process , transition rate matrix , class (philosophy) , matrix (chemical analysis) , h infinity methods in control theory , robust control , computer science , mathematical analysis , control system , control (management) , statistics , engineering , electrical engineering , ecology , materials science , poaceae , artificial intelligence , composite material , computer vision , biology
SUMMARY This paper is concerned with the robust H ∞ filter design for a class of uncertain singular time‐delayed Markovian jump systems, whose transition rate matrix has elementwise bounded uncertainties. By the LMI approach, a novel bounded real lemma is proposed such that the singular Markovian jump system is robustly exponentially mean‐square admissible with a prescribed H ∞ performance index. Based on this, a sufficient condition for the existence of a robust H ∞ filter is developed in terms of LMIs. Finally, a numerical example is provided to show the effectiveness of the theoretical results. Copyright © 2013 John Wiley & Sons, Ltd.