Open AccessRobust H ∞ filtering for uncertain two‐dimensional continuous‐discrete state‐delay systems in finite frequency domains
Author(s) -
Wang Guopeng,
Xu Huiling,
Wang Lu,
Yao Juan
Publication year - 2018
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2018.5671
Subject(s) - frequency domain , control theory (sociology) , mathematics , equivalence (formal languages) , linear matrix inequality , filter (signal processing) , discrete frequency domain , discrete time and continuous time , discrete system , bounded function , mathematical optimization , computer science , algorithm , mathematical analysis , control (management) , discrete mathematics , artificial intelligence , statistics , computer vision
In this work, the problem of robust H ∞filtering for uncertain two‐dimensional (2D) continuous‐discrete Roesser systems with state delays in finite frequency ranges is investigated. This study first develops the equivalence between a frequency domain inequality (FDI) and a linear matrix inequality. In particular, the proposed result covers FDIs in finite frequency intervals for 2D continuous/discrete/continuous‐discrete settings. Using the result, the existing finite frequency bounded ream lemmas and the finite frequency positive real lemmas have been generalised to uncertain 2D state‐delay Roesser systems. Then, a robust finite frequency H ∞filter design method for uncertain 2D continuous‐discrete state delay Roesser systems is given. Finally, examples are provided to clearly demonstrate the effectiveness of the proposed method.