Neighborhood-Based Event-Triggered Distributed Fault Estimation Observer for Multi-Agent Systems

This study addresses the distributed Fault Estimation control problem for linear multi-agent systems with an event-triggered communication mechanism. In multi-agent systems, a substantial challenge is to find out the size and shape of the occurred faults and how to reduce the wastage of communication bandwidth and unnecessary executions. In order to address these concerns, we proposed a distributed Fault Estimation observer, where each agent employs an augmented system based on a predefined communication graph, and with consideration of its neighbors, to estimate the fault and states both in itself as well as its neighbors, simultaneously. In addition, an event-triggering scheme was implemented in this approach in order to effectively reduce unnecessary signal transmission between the agents and attain a reasonable allocation of resources. Sufficient conditions are presented to guarantee that the closed-loop system is asymptotically stable with prescribed disturbance attenuation, and the parameter matrices of the event-triggered mechanism and observer can be obtained simultaneously by solving a set of Linear Matrix Inequities (LMIs). Eventually, some simulations are included to demonstrate the performance of the introduced Fault Estimation and effectively of the event-triggered mechanism.