Dissipative filtering for uncertain positive Roesser system under the try-once-discard protocol

Abstract

This article addresses the problem of dissipative filtering for the delayed positive Roesser system with uncertainties under the try-once-discard communication protocol. To estimate the output of the addressed two-dimensional system, both positive lower- and upper-bounding filters are constructed, where the signals from the sensor nodes to the remote filters are transmitted through a shared communication network. To avoid the undesired data congestion phenomenon, the try-once-discard protocol is implemented to dynamically schedule the transmission sequence of the sensor nodes. Then, sufficient conditions are derived to design appropriate filters ensuring that the filtering error systems are positive, two-dimensional [Formula: see text]- γ-dissipative, and asymptotically stable. Finally, one numerical example is presented to demonstrate effectiveness of the designed filters.