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- Title
Robust H∞ filtering for uncertain two‐dimensional continuous‐discrete state‐delay systems in finite frequency domains.
- Authors
Wang, Guopeng; Xu, Huiling; Wang, Lu; Yao, Juan
- Abstract
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.
- Publication
IET Control Theory & Applications (Wiley-Blackwell), 2018, Vol 12, Issue 17, p2316
- ISSN
1751-8644
- Publication type
Article
- DOI
10.1049/iet-cta.2018.5671