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Robust H ∞ filtering for a class of Markovian jump systems with time‐varying delays based on delta operator approach
Author(s) -
Yang Hongjiu,
Shi Peng,
Zhang Jinhui,
Qiu Jiqing
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.322
Subject(s) - delta operator , mathematics , control theory (sociology) , operator (biology) , class (philosophy) , filter (signal processing) , jump , expression (computer science) , markov process , discrete time and continuous time , computer science , control (management) , shift operator , artificial intelligence , compact operator , biochemistry , chemistry , physics , statistics , repressor , quantum mechanics , transcription factor , extension (predicate logic) , computer vision , gene , programming language
In this paper, the robust H ∞ filtering problem for a class of discrete Markovian jump systems with time‐varying delays and linear fractional uncertainties is investigated based on delta operator approach. Based on Lyapunov‐Krasovskii functional in delta domain, new delay‐dependent sufficient conditions for the solvability of this problem are presented in terms of linear matrix inequalities (LMIs). When these LMIs are feasible, an explicit expression of a desired jump H ∞ filter is given. The proposed method can unify some previous related continuous and discrete systems into the delta operator systems framework. Numerical examples are given to illustrate the effectiveness of the developed techniques. © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society