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Robust H ∞ control of Markovian jump systems with uncertain switching probabilities
Author(s) -
Wang Guoliang,
Zhang Qingling
Publication year - 2012
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.412
Subject(s) - control theory (sociology) , class (philosophy) , controller (irrigation) , jump , bounded function , mathematics , robust control , linear matrix inequality , control (management) , markov process , matrix (chemical analysis) , control system , mathematical optimization , computer science , engineering , statistics , artificial intelligence , mathematical analysis , physics , materials science , electrical engineering , quantum mechanics , agronomy , composite material , biology
This paper is concerned with the robust H ∞ control problem for a class of Markovian jump systems with uncertain switching probabilities, whose uncertainties are assumed to be elementwise bounded. First, new criterion of H ∞ performance for such uncertain systems is given. Then, new sufficient condition for H ∞ controller is established as strict linear matrix inequalities. Finally, a numerical example is used to demonstrate the effectiveness of the proposed methods. Copyright © 2011 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society