Finite-gain L<inf>2</inf> stability in distributed event-triggered networked control systems with data dropouts

Abstract

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 L <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> 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 L <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> 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.