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LMI APPROACH TO ROBUST FILTERING FOR DISCRETE TIME‐DELAY SYSTEMS WITH NONLINEAR DISTURBANCES
Author(s) -
Gao Huijun,
Wang Changhong
Publication year - 2005
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 - 10.1111/j.1934-6093.2005.tb00377.x
Subject(s) - control theory (sociology) , lipschitz continuity , linear matrix inequality , nonlinear system , mathematics , a priori and a posteriori , discrete time and continuous time , noise (video) , filter (signal processing) , bounded function , polytope , attenuation , state (computer science) , computer science , mathematical optimization , algorithm , control (management) , mathematical analysis , philosophy , statistics , physics , epistemology , discrete mathematics , quantum mechanics , artificial intelligence , optics , image (mathematics) , computer vision
This paper investigates the problem of robust filtering for a class of uncertain nonlinear discrete‐time systems with multiple state delays. It is assumed that the parameter uncertainties appearing in all the system matrices reside in a polytope, and that the nonlinearities entering into both the state and measurement equations satisfy global Lipschitz conditions. Attention is focused on the design of robust full‐order and reduced‐order filters guaranteeing a prescribed noise attenuation level in an H ∞ or l 2 ‐ l ∞ sense with respect to all energy‐bounded noise disturbances for all admissible uncertainties and time delays. Both delay‐dependent and independent approaches are developed by using linear matrix inequality (LMI) techniques, which are applicable to systems either with or without a priori information on the size of delays.