Finite-gain L2 stability in distributed event-triggered networked control systems with data dropouts

This paper studies event-triggered networked control systems. Event-triggering has an agent broadcast its sampled state to its neighbors only when its local error signal exceeds a given threshold. We provide a sufficient condition for the existence of “local” events such that the resulting networked control systems are L₂ stable. By “local”, we mean that each agent´s events are only associated with its own state information. Based on this condition, we propose a distributed scheme for each agent to design its local events using linear matrix inequalities. This scheme applies to linear systems and the resulting event-triggered system is finite-gain L₂ stable. Moreover, we consider data dropouts in networked control systems and propose a distributed method that enables each agent to locally identify the maximal allowable number of its successive data dropouts without loss of the system stability.