Exploiting Information for Decentralized Periodic Event-Triggered Control

This paper considers decentralized periodic event-triggered control (PETC) for a linear time-invariant plant, composed of spatially distributed sensor and actuator nodes, that are connected by a shared communication channel. The proposed PETC mechanism is based on local trigger rules at the sensor nodes, that use the locally available part of the state error since the last transmission and in addition state information from other sensor nodes that has been transmitted earlier over the communication channel. It is shown how the received information from other sensor nodes can be exploited to reduce the amount of transmissions and to guarantee asymptotic stability of the origin for the closed-loop system with the proposed PETC mechanism. To achieve this, the trigger rules are used to overapproximate a Lyapunov-like function. Moreover, it is demonstrated how the information exploiting PETC mechanism can be modified to deal with network induced transmission delays and bounded state disturbances.