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Delay‐dependent filtering for discrete‐time state‐delayed systems with small gain conditions in finite frequency ranges
Author(s) -
Zhang XiaoNi,
Yang GuangHong
Publication year - 2011
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.1253
Subject(s) - control theory (sociology) , multiplier (economics) , mathematics , range (aeronautics) , set (abstract data type) , filtering problem , state (computer science) , discrete time and continuous time , filter (signal processing) , computer science , filter design , algorithm , engineering , statistics , control (management) , artificial intelligence , economics , computer vision , macroeconomics , programming language , aerospace engineering
Abstract This paper is concerned with the delay‐dependent filtering problem for linear discrete‐time multi‐delay systems with small gain conditions in finite frequency ranges. A new multiplier method is developed to convert the resulting nonconvex filtering synthesis conditions to the ones based on linear matrix inequalities (LMIs). Thus, sufficient conditions for the existence of feasible filters are given in terms of solutions to a set of LMIs. For the entire frequency case, it is shown that the proposed result is less conservative than the relative existing results. Finally, the procedures and the advantages of the proposed approach in comparison with the existing ones in the entire frequency range are illustrated via numerical examples. Copyright © 2011 John Wiley & Sons, Ltd.

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