Probability-Guaranteed $H$<sub>∞</sub>-Filtering for 2$D$-Systems with Random Nonlinearities and Missing Measurements
Year: 2019
East Asian Journal on Applied Mathematics, Vol. 9 (2019), Iss. 2 : pp. 295–311
Abstract
The probability-guaranteed $H$∞-filtering problem for 2$D$-discrete time systems with random nonlinearities and missing measurements is studied. To characterise the statistical uncertain parameters, the uniform distribution is used. The filter parameters are derived by LMI technique and a special parameter-box is used to guarantee $H$∞-performance with pre-specified probability constraints. An example shows the effectiveness of the filtering scheme developed.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.011018.231118
East Asian Journal on Applied Mathematics, Vol. 9 (2019), Iss. 2 : pp. 295–311
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Two-dimensional system probability performance $H_∞$-filtering.