Probability-Guaranteed $H$∞-Filtering for 2$D$-Systems with Random Nonlinearities and Missing Measurements

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.