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Robust H ∞ deconvolution filtering for uncertain singular Markovian jump systems with time‐varying delays
Author(s) -
Zhuang Guangming,
Xu Shengyuan,
Zhang Baoyong,
Xu Huiling,
Chu Yuming
Publication year - 2016
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.3461
Subject(s) - control theory (sociology) , deconvolution , mathematics , filter (signal processing) , jump , markov process , norm (philosophy) , computer science , lyapunov function , algorithm , control (management) , statistics , physics , quantum mechanics , nonlinear system , artificial intelligence , law , computer vision , political science
Summary The problem of H ∞ deconvolution filter design for a class of singular Markovian jump systems with time‐varying delays and parameter uncertainties is considered in this paper. By constructing a more comprehensive stochastic Lyapunov‐Krasovskii functional, novel delay‐dependent conditions are established to guarantee the filtering error system is not only stochastically admissible, but also satisfies a prescribed H ∞ ‐norm level for all admissible uncertainties. The desired filter parameters can be obtained by solving a set of strict linear matrix inequalities. Two examples and an electrical RLC circuit example are employed to verify the effectiveness and usefulness of the proposed methods in the paper. Copyright © 2015 John Wiley & Sons, Ltd.