Non-Monotonic Lyapunov Function-Based Design of Decentralized Triggering Conditions in Output Feedback Event-Triggered Control

Event-triggered control is a method in which the measured values are sent from sensors to controllers only when an event-triggering condition is satisfied. In the case where the controller is given in advance, it is necessary to design event-triggering mechanisms (ETMs). In this paper, a design method of decentralized event-triggering mechanisms (DETMs) is proposed based on non-monotonic Lyapunov functions. Decentralized ETMs efficiently work for a sensor network in which multiple sensors are located in a distributed way. Using non-monotonic Lyapunov functions, it is expected that the number of times that the event occurs is decreased. The design problem of DETMs is reduced to an LMI (linear matrix inequality) feasibility problem. The effectiveness of the proposed method is presented by a numerical example.