Open AccessNew results on H ∞ filter design for sampled‐data systems with packet dropouts and transmission delays
Author(s) -
Wang Meng,
Wang Mao,
Fu Shasha,
Qiu Jianbin
Publication year - 2017
Publication title -
iet signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.384
H-Index - 42
ISSN - 1751-9683
DOI - 10.1049/iet-spr.2016.0469
Subject(s) - filter (signal processing) , network packet , control theory (sociology) , filter design , linear matrix inequality , transmission (telecommunications) , stability (learning theory) , computer science , attenuation , convex optimization , exponential stability , mathematics , filtering problem , regular polygon , mathematical optimization , telecommunications , artificial intelligence , nonlinear system , machine learning , computer network , computer vision , physics , geometry , control (management) , quantum mechanics , optics
In this study, the problem ofH ∞ filtering for sampled‐data systems under unreliable communication links is investigated. The phenomena of data packet dropouts and signal transmission delays are addressed in a unified framework. The objective is to design an admissible filter to guarantee the asymptotic stability of the filtering error system and minimise theH ∞ disturbance attenuation level. Thanks to the proposed novel Lyapunov–Krasovskii functional together with the improved Wirtinger's inequality and the reciprocally convex approach, novel sufficient linear‐matrix‐inequality‐based conditions are obtained for the existence and design of admissible filters. Finally, two simulation examples are provided to illustrate the efficiency and less conservativeness of the proposedH ∞ filter design methods.