TY - JOUR
T1 - Probability-Guaranteed $H$<sub>∞</sub>-Filtering for 2$D$-Systems with Random Nonlinearities and Missing Measurements
AU - Shanqiang Li, Xiuyan Peng & Yujing Shi
JO - East Asian Journal on Applied Mathematics
VL - 2
SP - 295
EP - 311
PY - 2019
DA - 2019/03
SN - 9
DO - http://doi.org/10.4208/eajam.011018.231118
UR - https://global-sci.org/intro/article_detail/eajam/13084.html
KW - Two-dimensional system, probability performance, $H_∞$-filtering.
AB - <p style="text-align: justify;">The probability-guaranteed $H$<sub>∞</sub>-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 $H$<sub>∞</sub>-performance with pre-specified probability constraints. An example shows the effectiveness of the filtering scheme developed.</p>