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Further results on delay‐dependent H ∞ filtering for singular systems with interval time‐varying delays
Author(s) -
Chen Wenbin,
Xu Shengyuan,
Lu Junwei,
Li Yongmin,
Chu Yuming,
Zhang Zhengqiang
Publication year - 2021
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.2711
Subject(s) - interval (graph theory) , mathematics , control theory (sociology) , filter (signal processing) , linear matrix inequality , state (computer science) , matrix (chemical analysis) , stability (learning theory) , transformation (genetics) , computer science , mathematical optimization , algorithm , combinatorics , control (management) , biochemistry , chemistry , materials science , artificial intelligence , machine learning , composite material , computer vision , gene
This paper revisits the problem of H ∞ filter design for singular systems with interval time‐varying delays. Firstly, by state decomposition method (SDM), a novel Lyapunov–Krasovskii functional (LKF) including two augmented nonintegral terms is presented. Secondly, via the constructed LKF and the linear matrix inequality (LMI) technique, sufficient stability conditions with lower conservatism are achieved such that the considered singular system is admissible with specified H ∞ performance level. Thirdly, a state decomposition‐recombination approach is first introduced to obtain a desired H ∞ filter in terms of matrix component transformation technology. Finally, the validity and superiority of the results obtained are verified via two numerical examples.