H∞ Filtering of Time-Varying Nonlinear Systems with Randomly Occurring Output Degradation

Abstract EN

This paper deals with the H∞ filtering problem for nonlinear systems with randomly occurring output degradation phenomenon.

Such a phenomenon is described by a stochastic variable which obeys the Bernoulli distribution with probability known priorly.

A sufficient condition is derived for the nonlinear system to reach the required H∞ performance.

An iterative algorithm is then proposed to obtain the filter parameters recursively by solving the corresponding linear matrix inequality.

A numerical example is presented to show the effectiveness of the proposed method.