H∞H∞ filtering for networked linear systems with multiple packet dropouts and random delays

This paper is concerned with an H∞H∞ filtering problem for the network-based linear systems with multiple packet dropouts and random delays. Due to the limited bandwidths of communication channels, the measured outputs will be delayed or even be lost during the transmission from the sensor to the remote filter, where the delays are randomly varying but bounded and packet dropouts are possibly consecutive. Based on a recent developed model that describes the phenomena of packet dropouts and time delays simultaneously, an H∞H∞ filter is designed to ensure the filtering error system to be mean-square exponentially stable and guarantee a prescribed H∞H∞ filtering performance. A sufficient condition for the existence of such a filter is provided via a linear matrix inequality (LMI) method. The effectiveness and applicability of the proposed algorithm is demonstrated by a practical F-404 aircraft engine system.