Fault Detection for Descriptor Networked Systems with Multiple Packet Dropouts

Based on a regular, causal descriptor controlled plant, the fault detection for a class of descriptor systems with both multiple measurement and control packet dropouts is investigated. Two independent Bernoulli distributed white sequences are used to describe the multiple measurement and control packet dropouts. The problem of fault detection for networked systems can be formulated as an H infinity filtering problem in terms of H infinity theory. Then a fault detection filter which has a given H infinity performance is designed. A sufficient condition for the existence of the filter is established by means of linear matrix inequalities. At last a numerical example shows the validity of the proposed method.