Networked ℋ∞ filtering for discrete linear systems with a periodic event-triggering communication scheme

This study provides an event-triggered ℋ∞ filtering design method for a discrete linear system under network environments. First, a periodic event-triggered communication scheme and a networked filter error system model for networked ℋ∞ filtering are presented. In this scheme and model: (i) the sensor is time-triggered; (ii) the transmitter is event-triggered in a periodic manner; and (iii) the closed-loop system is modelled as a time-delay dependent filter error system. Second, under consideration of the proposed communication scheme, an ℋ∞ filtering analysis criterion and a stabilisation criterion are derived. Compared with those where the communication scheme and the filter must be individually designed in some existing ones, the communication and filtering parameters can be obtained simultaneously. In particular, a co-design algorithm is provided to obtain the communication and filtering parameters in a unified framework for using less network bandwidth. Finally, two examples are given to show the advantages of the proposed method.