Traffic Models of Periodic Event-Triggered Control Systems
It provides a method to model traffic in PETC systems, which is relevant for control engineers designing resource-efficient networked control systems.
This work constructs timing models for periodic event-triggered control (PETC) systems to capture the dynamics of generated traffic, using a two-step approach involving state space partitioning and LMI-based analysis of event-triggering behavior.
Periodic event-triggered control (PETC) is a version of event-triggered control (ETC) that only requires to measure the plant output periodically instead of continuously. In this work, we present a construction of timing models for these PETC implementations to capture the dynamics of the traffic they generate. In the construction, we employ a two-step approach. We first partition the state space into a finite number of regions. Then in each region, the event-triggering behavior is analyzed with the help of LMIs. The state transitions among different regions result from computing the reachable state set starting from each region within the computed event time intervals.