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Mixed H ∞ and passive filtering for a class of singular systems with interval time‐varying delays
Author(s) -
Liu Guobao,
Ma Qian,
Lu Junwei,
Li Yongmin,
Xu Shengyuan
Publication year - 2017
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2352
Subject(s) - mathematics , interval (graph theory) , passivity , class (philosophy) , linear matrix inequality , control theory (sociology) , matrix (chemical analysis) , range (aeronautics) , transformation (genetics) , regular polygon , filter (signal processing) , mathematical optimization , computer science , control (management) , engineering , combinatorics , biochemistry , chemistry , materials science , geometry , electrical engineering , artificial intelligence , composite material , computer vision , gene , aerospace engineering
Summary This paper deals with the problem of mixed H ∞ and passive filtering for a class of singular systems with interval time‐varying delays. First, by combining the Wirtinger‐based integral inequality with the reciprocally convex inequality, sufficient delay‐range‐dependent conditions are obtained in terms of strict linear matrix inequalities to ensure that the considered singular system is admissible with a mixed H ∞ and passivity performance level. Then, based on a matrix transformation technique and employing several free scalars, more flexible strict linear matrix inequality–based conditions are proposed to get the desired filter. Finally, 2 numerical examples are given to show less conservatism and the effectiveness of the results.