Co-design of event-triggered mechanism and dissipativity-based output feedback controller for two-dimensional systems

This paper deals with the co-design problem of two-dimensional (2-D) event generator and dissipativity-based output feedback controller for discrete-time 2-D systems represented by the well-known Roesser model. First, the definition of 2-D dissipativity for the Roesser model is introduced. By employing the quadratic Lyapunov function technique, sufficient conditions are developed to guarantee the pre-specified dissipativity and the asymptotic stability for the addressed system. Then the output feedback controller is designed to stabilize the system and satisfy the 2-D dissipativity performance simultaneously. Next, combined with the dissipativity performance, the event-triggered rule is established for the 2-D system to achieve the pre-specified dissipativity and meanwhile the event-triggered instants are determined. Further, based on the newly established event-triggered rule, the controller is re-designed such that the stability of the 2-D closed-loop system is guaranteed with more efficient utilization of network resources. In the end, the applicability of the proposed method is illustrated by a simulation example.